12988935946560
12,988,935,946,560 is an even composite number composed of seven prime numbers multiplied together.
12988935946560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 12988935946560:
26 × 3 × 5 × 74 × 173 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 31 × 37)See below for interesting mathematical facts about the number 12988935946560 from the Numbermatics database.
Names of 12988935946560
- Cardinal: 12988935946560 can be written as Twelve trillion, nine hundred eighty-eight billion, nine hundred thirty-five million, nine hundred forty-six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.298893594656 × 1013
Factors of 12988935946560
Divisors of 12988935946560
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 31 32 34 35 37 40 42 48 49 51 56 60 62 64 68 70 74 80 84 85 93 96 98 102 105 111 112 119 120 124 136 140 147 148 155 160 168 170 185 186 192 196 204 210 217 222 224 238 240 245 248 255 259 272 280 289 294 296 310 320 336 340 343 357 370 372 392 408 420 434 444 448 465 476 480 490 496 510 518 527 544 555 560 578 588 592 595 620 629 651 672 680 686 714 735 740 744 777 784 816 833 840 867 868 888 930 952 960 980 992 1020 1029 1036 1054 1085 1088 1110 1120 1147 1156 1176 1184 1190 1240 1258 1295 1302 1344 1360 1372 1428 1445 1470 1480 1488 1519 1554 1568 1581 1632 1666 1680 1715 1734 1736 1776 1785 1813 1860 1887 1904 1960 1984 2023 2040 2058 2072 2108 2170 2220 2240 2294 2312 2352 2368 2380 2401 2480 2499 2516 2590 2604 2635 2720 2744 2856 2890 2940 2960 2976 3038 3108 3136 3145 3162 3255 3264 3332 3360 3430 3441 3468 3472 3552 3570 3626 3689 3720 3774 3808 3885 3920 4046 4080 4116 4144 4165 4216 4335 4340 4403 4440 4557 4588 4624 4704 4760 4802 4913 4960 4998 5032 5145 5180 5208 5270 5439 5440 5488 5712 5735 5780 5831 5880 5920 5952 6069 6076 6216 6290 6324 6510 6664 6720 6860 6882 6936 6944 7104 7140 7203 7252 7378 7440 7548 7595 7616 7770 7840 7905 8029 8092 8160 8232 8288 8330 8432 8670 8680 8806 8880 8959 9065 9114 9176 9248 9408 9435 9520 9604 9826 9920 9996 10064 10115 10290 10360 10416 10540 10633 10693 10878 10976 11067 11424 11470 11560 11662 11760 11840 12005 12138 12152 12432 12495 12580 12648 12691 13020 13209 13328 13720 13764 13872 13888 14161 14280 14406 14504 14739 14756 14880 15096 15190 15540 15680 15810 16058 16184 16320 16464 16576 16660 16864 17205 17340 17360 17493 17612 17760 17918 18130 18228 18352 18445 18496 18870 19040 19208 19499 19652 19992 20128 20230 20580 20720 20832 21080 21266 21386 21756 21952 22015 22134 22785 22848 22940 23120 23324 23520 24010 24087 24276 24304 24565 24864 24990 25160 25296 25382 25823 26040 26418 26656 26877 27195 27440 27528 27744 28322 28560 28812 29008 29155 29478 29512 29760 30192 30345 30380 30821 31080 31620 31899 32079 32116 32368 32928 33320 33728 34391 34410 34680 34720 34986 35224 35520 35836 36015 36260 36456 36704 36890 37740 38073 38080 38416 38998 39304 39984 40145 40256 40460 40817 41160 41440 41664 42160 42483 42532 42772 43512 44030 44268 44795 45570 45880 46240 46648 47040 48020 48174 48552 48608 49130 49728 49980 50320 50592 50764 51646 52080 52836 53165 53312 53465 53754 54390 54880 55056 55335 55488 56203 56644 57120 57624 58016 58310 58497 58956 59024 60384 60690 60760 61642 62160 62713 63240 63455 63798 64158 64232 64736 65856 66045 66640 68782 68820 69360 69440 69972 70448 70805 71672 72030 72520 72912 73408 73695 73780 74431 74851 75480 76146 76832 77469 77996 78608 79968 80290 80920 81634 82320 82880 84320 84966 85064 85544 87024 87465 88060 88536 88837 89590 91140 91760 92463 92480 93296 96040 96348 97104 97216 97495 98260 99127 99960 100640 101184 101528 103173 103292 104160 105672 106330 106930 107508 108780 109760 110112 110670 112406 113288 114240 115248 116032 116620 116994 117912 118048 120435 120768 121380 121520 122451 123284 124320 125426 126480 126910 127596 128316 128464 129115 129472 132090 133280 134385 136493 137564 137640 138720 139944 140896 141610 143344 144060 145040 145824 147390 147560 148862 149702 150960 152292 152303 153664 154105 154938 155992 157216 159495 159936 160395 160580 161840 163268 164640 168609 168640 169932 170128 171088 171955 174048 174930 176120 177072 177674 179180 180761 181781 182280 183520 184926 186592 188139 190365 192080 192696 194208 194990 196520 198254 199920 201280 203056 204085 206346 206584 208320 211344 212415 212660 213860 215016 215747 217560 220224 221340 223293 224553 224812 226576 230496 233240 233988 235824 236096 240737 240870 242760 243040 244902 246568 248640 250852 252960 253820 255192 256632 256928 258230 264180 266511 266560 268770 272986 275128 275280 277440 279888 281015 281792 283220 286688 288120 290080 291648 292485 294780 295120 297381 297724 299404 301920 304584 304606 308210 309876 311984 313565 314432 318990 320790 321160 323680 326536 329280 331483 337218 339864 340256 342176 343910 348096 349860 352240 354144 355348 358360 361522 363562 364560 367040 369852 372155 373184 374255 376278 380730 384160 385392 387345 388416 389980 393040 393421 396508 399840 406112 408170 409479 412692 413168 422688 424830 425320 427720 430032 431494 435120 438991 442680 444185 446586 449106 449624 453152 456909 460992 462315 466480 467976 471648 481474 481740 485520 486080 489804 493136 495635 501704 505920 507640 510384 513264 513856 515865 516460 523957 528360 533022 537540 542283 545343 545972 550256 550560 559776 562030 566440 573376 576240 580160 584970 589560 590240 594762 595448 598808 603840 609168 609212 612255 616420 619752 623968 627130 637980 641580 642320 647241 647360 653072 662966 674436 679728 680512 682465 684352 687820 693889 699720 704480 708288 710696 716720 722211 723044 727124 729120 739704 744310 748510 752556 761460 761515 768320 770784 774690 779960 786080 786842 793016 799680 812224 816340 818958 825384 826336 843045 845376 849660 850640 855440 860064 862988 870240 877982 885360 888370 893172 898212 899248 903805 906304 908905 913818 924630 932960 935952 940695 943296 955451 962948 963480 971040 979608 986272 991270 994449 1003408 1015280 1020768 1026528 1031730 1032920 1047914 1056720 1066044 1066121 1075080 1078735 1084566 1090686 1091944 1100512 1101120 1116465 1119552 1122765 1124060 1132880 1152480 1169940 1179120 1180263 1180480 1189524 1190896 1197616 1203685 1218336 1218424 1224510 1232840 1239504 1247936 1254260 1265327 1272467 1275960 1283160 1284640 1294482 1306144 1316973 1325932 1332555 1348872 1359456 1364930 1375640 1387778 1399440 1408960 1421392 1433440 1444422 1446088 1454248 1458240 1479408 1486905 1488620 1497020 1505112 1510229 1522920 1523030 1541568 1549380 1559920 1571871 1572160 1573684 1586032 1632680 1637916 1650768 1652672 1657415 1685159 1686090 1699320 1701280 1710880 1720128 1725976 1740480 1755964 1770720 1776740 1786344 1796424 1798496 1807610 1817810 1827636 1849260 1865920 1871904 1881390 1910902 1925896 1926960 1942080 1959216 1967105 1972544 1982540 1988898 2006816 2030560 2041536 2047395 2053056 2063460 2065840 2081667 2095828 2113440 2132088 2132242 2150160 2157470 2169132 2181372 2183888 2194955 2201024 2232930 2245530 2248120 2265760 2284545 2304960 2320381 2339880 2358240 2360526 2379048 2381792 2395232 2407370 2436672 2436848 2449020 2465680 2479008 2508520 2530654 2544934 2551920 2566320 2569280 2588964 2612288 2619785 2633946 2651864 2665110 2697744 2711415 2718912 2726715 2729860 2751280 2753947 2775556 2798880 2842784 2866353 2866880 2888844 2892176 2908496 2958816 2973810 2977240 2994040 3010224 3020458 3045840 3046060 3072937 3098760 3119840 3143742 3147368 3172064 3198363 3236205 3265360 3275832 3301536 3314830 3370318 3372180 3398640 3402560 3421760 3451952 3469445 3511928 3541440 3553480 3572688 3592848 3596992 3611055 3615220 3635620 3655272 3667699 3698520 3743808 3762780 3795981 3817401 3821804 3851792 3853920 3918432 3934210 3965080 3977796 4013632 4061120 4094790 4126920 4131680 4163334 4191656 4226880 4264176 4264484 4300320 4314940 4338264 4362744 4367776 4389910 4465860 4491060 4496240 4530687 4531520 4569090 4640762 4679760 4716480 4721052 4758096 4763584 4777255 4790464 4814740 4873696 4898040 4931360 4958016 4972245 5017040 5055477 5061308 5089868 5103840 5132640 5177928 5239570 5267892 5303728 5330220 5330605 5395488 5422830 5453430 5459720 5502560 5507894 5551112 5597760 5635211 5685568 5732706 5777688 5784352 5816992 5901315 5917632 5947620 5954480 5988080 6020448 6040916 6091680 6092120 6145874 6197520 6239680 6287484 6294736 6326635 6344128 6362335 6396726 6472410 6530720 6551664 6584865 6603072 6629660 6688157 6740636 6744360 6797280 6903904 6938890 6961143 7023856 7106960 7145376 7185696 7222110 7230440 7271240 7310544 7335398 7397040 7462847 7525560 7551145 7591962 7634802 7643608 7703584 7707840 7836864 7859355 7868420 7930160 7955592 8189580 8253840 8261841 8263360 8326668 8383312 8425795 8528352 8528968 8600640 8629880 8676528 8725488 8735552 8779820 8907269 8931720 8982120 8992480 9061374 9138180 9218811 9281524 9359520 9442104 9516192 9554510 9629480 9747392 9796080 9862720 9944490 10034080 10110954 10122616 10179736 10207680 10265280 10355856 10408335 10479140 10535784 10607456 10660440 10661210 10790976 10845660 10906860 10919440 11003097 11005120 11015788 11102224 11270422 11465412 11555376 11568704 11601905 11633984 11796113 11802630 11895240 11908960 11976160 12040896 12081832 12183360 12184240 12291748 12395040 12574968 12589472 12653270 12724670 12793452 12944820 13061440 13103328 13169730 13259320 13376314 13481272 13488720 13594560 13769735 13807808 13877780 13922286 14047712 14213920 14290752 14331765 14371392 14444220 14460880 14542480 14621088 14670796 14794080 14925694 15051120 15102290 15183924 15269604 15287216 15364685 15407168 15718710 15736840 15860320 15911184 15991815 16242667 16379160 16507680 16523682 16653336 16766624 16851590 16905633 17056704 17057936 17259760 17353056 17450976 17559640 17814538 17863440 17964240 17984960 18122748 18276360 18338495 18437622 18563048 18719040 18884208 18979905 19032384 19087005 19109020 19258960 19592160 19888980 20064471 20068160 20221908 20245232 20359472 20711712 20816670 20958280 21071568 21214912 21320880 21322420 21510559 21691320 21813720 21838880 22006194 22031576 22204448 22388541 22540844 22653435 22930824 23110752 23203810 23592226 23605260 23790480 23817920 23952320 24163664 24368480 24583496 24790080 25149936 25178944 25277385 25306540 25449340 25586904 25673893 25889640 26206656 26339460 26518640 26721807 26752628 26962544 26977440 27539470 27755560 27844572 28095424 28176055 28427840 28663530 28888440 28921760 29084960 29242176 29341592 29588160 29851388 30102240 30204580 30367848 30539208 30574432 30729370 31437420 31473680 31720640 31822368 31983630 32485334 32758320 33015360 33047364 33306672 33440785 33533248 33703180 33811266 34115872 34519520 34706112 34805715 34901952 35119280 35388339 35629076 35726880 35928480 36245496 36552720 36676990 36875244 37126096 37314235 37768416 37959810 38174010 38218040 38517920 39184320 39446477 39777960 40128942 40443816 40490464 40718944 41309205 41423424 41633340 41916560 42143136 42641760 42644840 43021118 43382640 43627440 43677760 44012388 44063152 44408896 44536345 44777082 45081688 45306870 45861648 46094055 46221504 46407620 46817099 47184452 47210520 47580960 48327328 48728001 48736960 49166992 50299872 50554770 50613080 50898680 51173808 51347786 51779280 52239929 52678920 53037280 53443614 53505256 53925088 53954880 55015485 55078940 55511120 55689144 56352110 57327060 57776880 57843520 58169920 58683184 58980565 59702776 60204480 60409160 60735696 61078416 61148864 61458740 62350883 62874840 62947360 63644736 63967260 64531677 64970668 65516640 66094728 66613344 66881570 67406360 67622532 68231744 69039040 69611430 70238560 70776678 71258152 71453760 71856960 72490992 73105440 73353980 73750488 74252192 74628470 75536832 75919620 76348020 76436080 77021679 77035840 78892954 79555920 80257884 80887632 80980928 81213335 81437888 82618410 83266680 83833120 84286272 84528165 85283520 85289680 86042236 86765280 87254880 88024776 88126304 89072690 89554164 90163376 90613740 91723296 92188110 92815240 93634198 94368904 94421040 95161920 96654656 97456002 98333984 100322355 100599744 101109540 101226160 101797360 102347616 102695572 103558560 104479858 105357840 106074560 106887228 107010512 107552795 107850176 110030970 110157880 111022240 111378288 111942705 112704220 113698669 114654120 115553760 117366368 117961130 118339431 119405552 120818320 121471392 122156832 122917480 124701766 125749680 125894720 127934520 128369465 129063354 129941336 131033280 132189456 133226688 133609035 133763140 134812720 135245064 139222860 140451297 140477120 141553356 142516304 144981984 146210880 146707960 147500976 148504384 149256940 151839240 152696040 152872160 154043358 156719787 157785908 159111840 160515768 161775264 162426670 165236820 166533360 167666240 169056330 170579360 172084472 173530560 174509760 176049552 176252608 176941695 178145380 179108328 180326752 181227480 183446592 184376220 185630480 187052649 187268396 188737808 188842080 194912004 196667968 197232385 200644710 202219080 202452320 203594720 204695232 205391144 207117120 208959716 210715680 213774456 214021024 215105590 220061940 220315760 222044480 222756576 223885410 225408440 227397338 229308240 231107520 234085495 234732736 235922260 236678862 238811104 241636640 242942784 243640005 244313664 245834960 249403532 251499360 255869040 256738930 258126708 259882672 261199645 264378912 267218070 267526280 269625440 270490128 276125339 278445720 280902594 283106712 285032608 289963968 293415920 295001952 298513880 303678480 305392080 305744320 308086716 311754415 313439574 315571816 318223680 321031536 322658385 323550528 324853340 330473640 333066720 338112660 341096007 341158720 344168944 352099104 353883390 356290760 358216656 360653504 362454960 365679503 368752440 371260960 374105298 374536792 377475616 377684160 385108395 389824008 394464770 401289420 404438160 404904640 407189440 410782288 417919432 421431360 427548912 428042048 430211180 436456181 440123880 440631520 445513152 447770820 450816880 454794676 458616480 468170990 471844520 473357724 477622208 483273280 487280010 491669920 498807064 502998720 511738080 513477860 516253416 519765344 522399290 528757824 534436140 535052560 539250880 540980256 552250678 556891440 561805188 566213424 568493345 570065216 586831840 590003904 591697155 597027760 607356960 610784160 616173432 623508830 626879148 631143632 642063072 645316770 649706680 660947280 666133440 676225320 682192014 688337888 702256485 704198208 707766780 712581520 716433312 724909920 731359006 737504880 742521920 748210596 749073584 754951232 770216790 779648016 783598935 788929540 795890683 802578840 808876320 821564576 828376017 835838864 855097824 860422360 872912362 880247760 881263040 895541640 901633760 909589352 917232960 935263245 936341980 943689040 946715448 974560020 983339840 997614128 1023476160 1026955720 1032506832 1039530688 1044798580 1068872280 1070105120 1081960512 1097038509 1104501356 1113782880 1123610376 1132426848 1136986690 1173663680 1183394310 1194055520 1214713920 1221568320 1232346864 1247017660 1253758296 1262287264 1284126144 1290633540 1299413360 1309368543 1321894560 1352450640 1364384028 1376675776 1380626695 1404512970 1415533560 1425163040 1432866624 1449819840 1462718012 1475009760 1496421192 1498147168 1540433580 1559296032 1567197870 1577859080 1591781366 1605157680 1617752640 1643129152 1656752034 1671677728 1705480035 1710195648 1720844720 1745824724 1760495520 1791083280 1803267520 1819178704 1828397515 1870526490 1872683960 1887378080 1893430896 1932877373 1949120040 1995228256 2053911440 2065013664 2089597160 2137744560 2140210240 2182280905 2194077018 2209002712 2227565760 2247220752 2264853696 2273973380 2366788620 2387672049 2388111040 2464693728 2494035320 2507516592 2524574528 2581267080 2598826720 2618737086 2643789120 2704901280 2728768056 2761253390 2809025940 2831067120 2850326080 2925436024 2950019520 2992842384 2996294336 3080867160 3118592064 3134395740 3155718160 3183562732 3210315360 3313504068 3343355456 3410960070 3441689440 3491649448 3520991040 3582166560 3638357408 3656795030 3741052980 3745367920 3774756160 3786861792 3865754746 3898240080 3979453415 3990456512 4107822880 4130027328 4141880085 4179194320 4275489120 4364561810 4388154036 4418005424 4494441504 4547946760 4733577240 4775344098 4929387456 4988070640 5015033184 5162534160 5197653440 5237474172 5409802560 5457536112 5485192545 5522506780 5618051880 5662134240 5798632119 5850872048 5985684768 6161734320 6268791480 6311436320 6367125464 6420630720 6546842715 6627008136 6821920140 6883378880 6983298896 7164333120 7276714816 7313590060 7482105960 7490735840 7573723584 7731509492 7796480160 7958906830 8215645760 8283760170 8358388640 8550978240 8729123620 8776308072 8836010848 8988883008 9095893520 9467154480 9550688196 9664386865 9976141280 10030066368 10325068320 10474948344 10915072224 10970385090 11045013560 11236103760 11324268480 11597264238 11701744096 11938360245 11971369536 12323468640 12537582960 12622872640 12734250928 13093685430 13254016272 13530141611 13643840280 13966597792 14627180120 14964211920 14981471680 15463018984 15592960320 15917813660 16567520340 16716777280 17458247240 17552616144 17672021696 18191787040 18934308960 19101376392 19328773730 19952282560 20650136640 20949896688 21830144448 21940770180 22090027120 22472207520 23194528476 23403488192 23876720490 24646937280 25075165920 25468501856 26187370860 26508032544 27060283222 27287680560 27933195584 28993160595 29254360240 29928423840 30926037968 31835627320 33135040680 34916494480 35105232288 36383574080 37868617920 38202752784 38657547460 40590424833 41899793376 43881540360 44180054240 44944415040 46389056952 47753440980 50150331840 50937003712 52374741720 53016065088 54120566444 54575361120 57986321190 58508720480 59856847680 61852075936 63671254640 66270081360 67650708055 69832988960 70210464576 76405505568 77315094920 81180849666 83799586752 87763080720 88360108480 92778113904 95506881960 104749483440 108241132888 109150722240 115972642380 117017440960 123704151872 127342509280 132540162720 135301416110 139665977920 152811011136 154630189840 162361699332 175526161440 185556227808 191013763920 202952124165 209498966880 216482265776 231945284760 254685018560 265080325440 270602832220 309260379680 324723398664 351052322880 371112455616 382027527840 405904248330 418997933760 432964531552 463890569520 541205664440 618520759360 649446797328 764055055680 811808496660 865929063104 927781139040 1082411328880 1298893594656 1623616993320 1855562278080 2164822657760 2597787189312 3247233986640 4329645315520 6494467973280 12988935946560
- Sum of all divisors σ(n): 54191621928960
- Sum of proper divisors (its aliquot sum) s(n): 41202685982400
- 12988935946560 is an abundant number, because the sum of its proper divisors (41202685982400) is greater than itself. Its abundance is 28213750035840
Bases of 12988935946560
- Binary: 101111010000001110001110100111000001010000002
- Hexadecimal: 0xBD038E9C140
- Base-36: 4LR193J9C
Squares and roots of 12988935946560
- 12988935946560 squared (129889359465602) is 168712457023838523175833600
- 12988935946560 cubed (129889359465603) is 2191395297669395348511488698533052416000
-
The
square root of 12988935946560 is 3604016.6407162995 -
The
cube root of 12988935946560 is 23506.6743960523
Scales and comparisons
How big is 12988935946560?- 12,988,935,946,560 seconds is equal to 413,007 years, 51 weeks, 1 day, 18 hours, 56 minutes.
-
To count from 1 to 12,988,935,946,560 would take you about one million, thirty-two thousand, five hundred nineteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 12988935946560 cubic inches would be around 1958.9 feet tall.
Recreational maths with 12988935946560
- 12988935946560 backwards is 06564953988921
- The number of decimal digits it has is: 14
- The sum of 12988935946560's digits is 75
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 12988935946560 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 12988935946560 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/12988935946560/
Chicago style:
Numbermatics. 2024. "Number 12988935946560 - Facts about the integer". https://numbermatics.com/n/12988935946560/
The information we have on file for 12988935946560 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 12988935946560, math, Factors of 12988935946560, curriculum, school, college, exams, university, Prime factorization of 12988935946560, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, nine hundred eighty-eight billion, nine hundred thirty-five million, nine hundred forty-six thousand, five hundred sixty.