13813759945256960
13,813,759,945,256,960 is an even composite number composed of eight prime numbers multiplied together.
13813759945256960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 13813759945256960:
212 × 5 × 13 × 17 × 41 × 127 × 193 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 41 × 127 × 193 × 3037)See below for interesting mathematical facts about the number 13813759945256960 from the Numbermatics database.
Names of 13813759945256960
- Cardinal: 13813759945256960 can be written as Thirteen quadrillion, eight hundred thirteen trillion, seven hundred fifty-nine billion, nine hundred forty-five million, two hundred fifty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.381375994525696 × 1016
Factors of 13813759945256960
Divisors of 13813759945256960
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 41 52 64 65 68 80 82 85 104 127 128 130 136 160 164 170 193 205 208 221 254 256 260 272 320 328 340 386 410 416 442 508 512 520 533 544 635 640 656 680 697 772 820 832 884 965 1016 1024 1040 1066 1088 1105 1270 1280 1312 1360 1394 1544 1640 1651 1664 1768 1930 2032 2048 2080 2132 2159 2176 2210 2509 2540 2560 2624 2665 2720 2788 3037 3088 3280 3281 3302 3328 3485 3536 3860 4064 4096 4160 4264 4318 4352 4420 5018 5080 5120 5207 5248 5330 5440 5576 6074 6176 6560 6562 6604 6656 6970 7072 7720 7913 8128 8255 8320 8528 8636 8704 8840 9061 10036 10160 10240 10414 10496 10660 10795 10880 11152 12148 12352 12545 13120 13124 13208 13312 13940 14144 15185 15440 15826 16256 16405 16510 16640 17056 17272 17408 17680 18122 20072 20320 20480 20828 20992 21320 21590 21760 22304 24296 24511 24704 25090 26035 26240 26248 26416 26624 27880 28067 28288 30370 30880 31652 32512 32810 33020 33280 34112 34544 34816 35360 36244 39481 39565 40144 40640 41656 41984 42640 42653 43180 43520 44608 45305 48592 49022 49408 50180 51629 52070 52480 52496 52832 53248 55760 56134 56576 60740 61760 63304 65024 65620 66040 66560 67691 68224 69088 69632 70720 72488 78962 79130 80288 81280 83312 83968 85280 85306 86360 87040 88519 89216 90610 97184 98044 98816 100360 102869 103258 104140 104960 104992 105664 111520 112268 113152 121480 122555 123520 124517 126608 130048 131240 132080 133120 134521 135382 136448 138176 140335 141440 144976 157924 158260 160576 162560 166624 167936 170560 170612 172720 174080 177038 178432 181220 194368 196088 197405 197632 200720 205738 206516 208280 209920 209984 211328 213265 223040 224536 226304 242960 245110 247040 249034 253216 258145 260096 262480 264160 266240 269042 270764 272896 276352 280670 282880 289952 315848 316520 318643 321152 325120 333248 338455 341120 341224 345440 348160 354076 356864 362440 385699 388736 392176 394810 395264 401440 411476 413032 416560 416687 419840 419968 422656 426530 442595 446080 449072 452608 485920 490220 494080 498068 506432 514345 516290 520192 524960 528320 538084 541528 545792 552704 561340 565760 579904 586141 622585 631696 633040 637286 642304 650240 666496 671177 672605 676910 682240 682448 690880 708152 713728 724880 771398 777472 784352 789620 790528 802880 822952 826064 833120 833374 839680 839936 845312 853060 885190 892160 898144 905216 971840 980440 988160 996136 1004951 1012864 1028690 1032580 1049920 1056640 1076168 1083056 1091584 1105408 1122680 1131520 1150747 1159808 1172282 1245170 1263392 1266080 1274572 1284608 1300480 1332992 1342354 1345210 1353820 1364480 1364896 1381760 1416304 1427456 1449760 1542796 1554944 1568704 1579240 1593215 1605760 1618721 1645904 1652128 1666240 1666748 1679872 1690624 1706120 1748773 1770380 1784320 1796288 1928495 1943680 1960880 1976320 1992272 2009902 2025728 2057380 2065160 2083435 2099840 2113280 2116789 2152336 2166112 2183168 2210816 2245360 2263040 2301494 2319616 2344564 2490340 2526784 2532160 2549144 2569216 2600960 2665984 2684708 2690420 2707640 2728960 2729792 2763520 2832608 2854912 2899520 2930705 3085592 3109888 3137408 3158480 3186430 3211520 3237442 3291808 3304256 3332480 3333496 3355885 3359744 3381248 3412240 3497546 3540760 3568640 3592576 3856990 3887360 3921760 3952640 3984544 4019804 4051456 4114760 4130320 4166870 4199680 4226560 4233578 4304672 4332224 4421632 4490720 4526080 4602988 4639232 4689128 4980680 5014087 5024755 5053568 5064320 5098288 5138432 5331968 5369416 5380840 5415280 5416931 5457920 5459584 5527040 5665216 5753735 5799040 5861410 6171184 6219776 6274816 6316960 6372860 6423040 6474884 6556883 6583616 6608512 6664960 6666992 6711770 6719488 6762496 6824480 6995092 7081520 7137280 7185152 7619833 7713980 7774720 7843520 7969088 8039608 8093605 8102912 8229520 8260640 8333740 8399360 8453120 8467156 8609344 8664448 8743865 8843264 8981440 9205976 9278464 9378256 9961360 9964397 10028174 10049510 10107136 10128640 10196576 10276864 10583945 10663936 10738832 10761680 10830560 10833862 10915840 10919168 11054080 11330432 11507470 11598080 11722820 12342368 12439552 12549632 12633920 12745720 12846080 12949768 13064363 13113766 13167232 13217024 13329920 13333984 13423540 13438976 13648960 13990184 14163040 14274560 14370304 15239666 15427960 15549440 15687040 15813659 15938176 16079216 16187210 16205824 16459040 16521280 16667480 16798720 16906240 16934312 17084167 17218688 17328896 17487730 17962880 18411952 18556928 18756512 19922720 19928794 20056348 20099020 20214272 20257280 20393152 21167890 21327872 21477664 21523360 21661120 21667724 21838336 22108160 22660864 23014940 23196160 23445640 24031781 24684736 25070435 25099264 25267840 25491440 25692160 25899536 26128726 26227532 26334464 26434048 26659840 26667968 26847080 27084655 27297920 27518257 27980368 28326080 28740608 30479332 30855920 31098880 31374080 31627318 31876352 32158432 32374420 32411648 32784415 32918080 33042560 33334960 33597440 33812480 33868624 34168334 34437376 34657792 34975460 35925760 36823904 37113856 37513024 38099165 39845440 39857588 40112696 40198040 40428544 40514560 40786304 42335780 42955328 43046720 43322240 43335448 43676672 44216320 45321728 46029880 46392320 46891280 48063562 49369472 49821985 50140870 50198528 50535680 50982880 51384320 51799072 52257452 52455064 52668928 52868096 53319680 53335936 53694160 54169310 54595840 55036514 55960736 56652160 57481216 60958664 61711840 62197760 62748160 63254636 63752704 64316864 64748840 65321815 65568830 65836160 66085120 66669920 67194880 67737248 68336668 68874752 69315584 69950920 71851520 73647808 74439907 75026048 76198330 79068295 79690880 79715176 80225392 80396080 80857088 81029120 81572608 84671560 85239479 85420835 85910656 86093440 86644480 86670896 87353344 90643456 92059760 92784640 93782560 96127124 98738944 99643970 100281740 100397056 101071360 101965760 103598144 104514904 104910128 105337856 105736192 106639360 106671872 107388320 108338620 109191680 110073028 111921472 113304320 114962432 120158905 121917328 123423680 125496320 126509272 127505408 128633728 129497680 129537161 130643630 131137660 131672320 132170240 133339840 135474496 136673336 137591285 137749504 138631168 139901840 143703040 147295616 148879814 150052096 152396660 158136590 159381760 159430352 160450784 160792160 161714176 162058240 163145216 169343120 170478958 170841670 171821312 172186880 173288960 173341792 174706688 181286912 184119520 185569280 187565120 192254248 197477888 199287940 200563480 202142720 203931520 205577567 207196288 209029808 209820256 210675712 211472384 213343744 214776640 216677240 218383360 220146056 222094171 223842944 226608640 240317810 243834656 246847360 250992640 253018544 255010816 257267456 258995360 259074322 261287260 262275320 263344640 264340480 266679680 268832203 270948992 273346672 275182570 275499008 277262336 279803680 287406080 294591232 297759628 300104192 304793320 312413153 316273180 318763520 318860704 320901568 321584320 326290432 338686240 340957916 341683340 343642624 344373760 346577920 346683584 362573824 368239040 372199535 375130240 384508496 394955776 398575880 401126960 404285440 407863040 408540277 411155134 414392576 418059616 419640512 421351424 426197395 426687488 429553280 433354480 436766720 440292112 444188342 447685888 453217280 480635620 487669312 493694720 501985280 506037088 510021632 514534912 517990720 518148644 522574520 524550640 526689280 528680960 533359360 537664406 541897984 546693344 550365140 550998016 559607360 574812160 589182464 595519256 600208384 609586640 624826306 632546360 637527040 637721408 641803136 643168640 647685805 652580864 677372480 681915832 683366680 687285248 688747520 693155840 693367168 736478080 744399070 750260480 769016992 789911552 797151760 802253920 808570880 815726080 817080554 822310268 828785152 836119232 839281024 852394790 853374976 859106560 866708960 873533440 880584224 888376684 895371776 906434560 961271240 967718791 975338624 987389440 1012074176 1027887835 1029069824 1035981440 1036297288 1045149040 1049101280 1053378560 1057361920 1066718720 1075328812 1083795968 1093386688 1100730280 1110470855 1119214720 1178364928 1191038512 1200416768 1219173280 1249652612 1265092720 1265478419 1275054080 1275442816 1283606272 1286337280 1295371610 1305161728 1344161015 1354744960 1363831664 1366733360 1374570496 1377495040 1386311680 1386734336 1472956160 1488798140 1500520960 1538033984 1562065765 1579823104 1594303520 1604507840 1631452160 1634161108 1644620536 1657570304 1672238464 1678562048 1704789580 1706749952 1718213120 1733417920 1761168448 1776753368 1790743552 1812869120 1922542480 1935437582 1950677248 1974778880 2024148352 2042701385 2055775670 2058139648 2071962880 2072594576 2090298080 2098202560 2106757120 2133437440 2150657624 2167591936 2186773376 2201460560 2220941710 2238429440 2356729856 2382077024 2400833536 2438346560 2499305224 2530185440 2530956838 2550108160 2550885632 2567212544 2572674560 2590743220 2688322030 2709489920 2727663328 2733466720 2749140992 2754990080 2773468672 2945912320 2977596280 3001041920 3052036187 3076067968 3124131530 3188607040 3209015680 3262904320 3268322216 3289241072 3315140608 3344476928 3357124096 3409579160 3436426240 3466835840 3494818639 3522336896 3553506736 3581487104 3845084960 3870875164 3901354496 3949557760 4048296704 4085402770 4111551340 4116279296 4143925760 4145189152 4180596160 4196405120 4266874880 4301315248 4335183872 4373546752 4402921120 4441883420 4476858880 4713459712 4764154048 4838593955 4876693120 4998610448 5060370880 5061913676 5101771264 5134425088 5145349120 5181486440 5311023601 5376644060 5418979840 5455326656 5466933440 5546937344 5891824640 5955192560 6002083840 6104072374 6152135936 6248263060 6327392095 6377214080 6418031360 6525808640 6536644432 6578482144 6630281216 6688953856 6714248192 6819158320 6872852480 6933671680 6989637278 7044673792 7107013472 7162974208 7690169920 7741750328 7802708992 7899115520 8096593408 8170805540 8223102680 8287851520 8290378304 8361192320 8392810240 8533749760 8602630496 8670367744 8747093504 8805842240 8883766840 8953717760 9528308096 9677187910 9753386240 9997220896 10120741760 10123827352 10203542528 10268850176 10290698240 10362972880 10622047202 10753288120 10837959680 10910653312 10933866880 11093874688 11783649280 11910385120 12004167680 12208144748 12304271872 12496526120 12654784190 12754428160 12836062720 13073288864 13156964288 13377907712 13428496384 13638316640 13745704960 13867343360 13979274556 14089347584 14214026944 15260180935 15380339840 15483500656 15605417984 16193186816 16341611080 16446205360 16451219447 16575703040 16580756608 16722384640 16785620480 17205260992 17474093195 17494187008 17611684480 17767533680 17907435520 19056616192 19354375820 19506772480 19994441792 20241483520 20247654704 20407085056 20537700352 20581396480 20725945760 21244094404 21506576240 21675919360 21821306624 21867733760 22187749376 23567298560 23820770240 24416289496 24608543744 24993052240 25309568380 25508856320 25672125440 26146577728 26313928576 26555118005 26755815424 26856992768 27276633280 27734686720 27958549112 28178695168 28428053888 30520361870 30760679680 30967001312 31210835968 32386373632 32683222160 32892410720 32902438894 33151406080 33161513216 33444769280 33571240960 34410521984 34948186390 34988374016 35223368960 35535067360 35814871040 38113232384 38708751640 39013544960 39676470431 39988883584 40482967040 40495309408 40814170112 41451891520 42488188808 43013152480 43351838720 43642613248 43735467520 47641540480 48832578992 49217087488 49986104480 50619136760 51017712640 51344250880 51884615179 52293155456 52627857152 53110236010 53511630848 54553266560 55469373440 55917098224 56357390336 56856107776 61040723740 61521359360 61934002624 64772747264 65366444320 65784821440 65804877788 66323026432 66889538560 67142481920 68821043968 69896372780 69976748032 70446737920 71070134720 76226464768 77417503280 78027089920 79352940862 79977767168 80965934080 80990618816 82256097235 82903783040 84976377616 86026304960 87285226496 87470935040 95283080960 97665157984 98434174976 99972208960 101238273520 102035425280 102688501760 103769230358 104586310912 105255714304 106220472020 109106533120 110938746880 111834196448 112714780672 113712215552 122081447480 123042718720 123868005248 130732888640 131569642880 131609755576 132646052864 133779077120 134284963840 137642087936 139792745560 140893475840 142140269440 152452929536 154835006560 156054179840 158705881724 159955534336 161931868160 161981237632 164512194470 165807566080 169952755232 172052609920 174570452992 174941870080 190566161920 195330315968 198382352155 199944417920 202476547040 204070850560 207538460716 209172621824 210511428608 212440944040 218213066240 223668392896 227424431104 244162894960 246085437440 247736010496 259423075895 261465777280 263139285760 263219511152 265292105728 267558154240 275284175872 279585491120 281786951680 284280538880 304905859072 309670013120 317411763448 319911068672 323863736320 323962475264 329024388940 331615132160 339905510464 344105219840 349140905984 349883740160 381132323840 390660631936 396764704310 399888835840 404953094080 415076921432 418345243648 421022857216 424881888080 436426132480 447336785792 454848862208 488325789920 492170874880 495472020992 518846151790 522931554560 526278571520 526439022304 530584211456 550568351744 559170982240 563573903360 568561077760 619340026240 634823526896 639822137344 647924950528 658048777880 663230264320 674499997327 679811020928 688210439680 762264647680 781321263872 793529408620 799777671680 809906188160 830153842864 836690487296 842045714432 849763776160 872852264960 894673571584 909697724416 976651579840 990944041984 1037692303580 1045863109120 1052557143040 1052878044608 1101136703488 1118341964480 1137122155520 1238680052480 1269647053792 1279644274688 1295849901056 1316097555760 1326460528640 1348999994654 1359622041856 1376420879360 1524529295360 1562642527744 1587058817240 1599555343360 1619812376320 1660307685728 1673380974592 1699527552320 1745704529920 1789347143168 1953303159680 1981888083968 2075384607160 2091726218240 2105114286080 2105756089216 2236683928960 2274244311040 2477360104960 2539294107584 2591699802112 2632195111520 2652921057280 2697999989308 2719244083712 2752841758720 3125285055488 3174117634480 3199110686720 3239624752640 3320615371456 3372499986635 3399055104640 3578694286336 3906606319360 3963776167936 4150769214320 4183452436480 4210228572160 4211512178432 4473367857920 4548488622080 4954720209920 5078588215168 5183399604224 5264390223040 5395999978616 5438488167424 5505683517440 6250570110976 6348235268960 6398221373440 6479249505280 6641230742912 6744999973270 6798110209280 7157388572672 7813212638720 8301538428640 8366904872960 8423024356864 8946735715840 9909440419840 10157176430336 10528780446080 10791999957232 10876976334848 12501140221952 12696470537920 12958499010560 13282461485824 13489999946540 13596220418560 14314777145344 15626425277440 16603076857280 16846048713728 17893471431680 19818880839680 20314352860672 21057560892160 21583999914464 21753952669696 25392941075840 25916998021120 26564922971648 26979999893080 27192440837120 31252850554880 33206153714560 33692097427456 35786942863360 40628705721344 42115121784320 43167999828928 50785882151680 53129845943296 53959999786160 54384881674240 62505701109760 66412307429120 67384194854912 71573885726720 81257411442688 84230243568640 86335999657856 101571764303360 106259691886592 107919999572320 108769763348480 132824614858240 162514822885376 168460487137280 172671999315712 203143528606720 212519383773184 215839999144640 265649229716480 336920974274560 345343998631424 406287057213440 431679998289280 531298459432960 690687997262848 812574114426880 863359996578560 1062596918865920 1381375994525696 1726719993157120 2762751989051392 3453439986314240 6906879972628480 13813759945256960
- Sum of all divisors σ(n): 39240766014234624
- Sum of proper divisors (its aliquot sum) s(n): 25427006068977664
- 13813759945256960 is an abundant number, because the sum of its proper divisors (25427006068977664) is greater than itself. Its abundance is 11613246123720704
Bases of 13813759945256960
- Binary: 1100010001001110001010100111101000110010110000000000002
- Hexadecimal: 0x31138A9E8CB000
- Base-36: 3S0KHPMOYRK
Squares and roots of 13813759945256960
- 13813759945256960 squared (138137599452569602) is 190819963825185570536000428441600
- 13813759945256960 cubed (138137599452569603) is 2635941173043730514366694583114343521804353536000
-
The
square root of 13813759945256960 is 117531952.8692387549 -
The
cube root of 13813759945256960 is 239940.7257858437
Scales and comparisons
How big is 13813759945256960?- 13,813,759,945,256,960 seconds is equal to 439,234,837 years, 25 weeks, 4 days, 21 hours, 9 minutes, 20 seconds.
-
To count from 1 to 13,813,759,945,256,960 would take you about one billion, three hundred seventeen million, seven hundred four thousand, five hundred twelve 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 13813759945256960 cubic inches would be around 19995.1 feet tall.
Recreational maths with 13813759945256960
- 13813759945256960 backwards is 06965254995731831
- The number of decimal digits it has is: 17
- The sum of 13813759945256960's digits is 83
- More coming soon!
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"Number 13813759945256960 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13813759945256960 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13813759945256960/
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The information we have on file for 13813759945256960 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!
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