13688285264640
13,688,285,264,640 is an even composite number composed of seven prime numbers multiplied together.
13688285264640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13688285264640:
28 × 33 × 5 × 7 × 19 × 181 × 16453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 181 × 16453)See below for interesting mathematical facts about the number 13688285264640 from the Numbermatics database.
Names of 13688285264640
- Cardinal: 13688285264640 can be written as Thirteen trillion, six hundred eighty-eight billion, two hundred eighty-five million, two hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.368828526464 × 1013
Factors of 13688285264640
Divisors of 13688285264640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 54 56 57 60 63 64 70 72 76 80 84 90 95 96 105 108 112 114 120 126 128 133 135 140 144 152 160 168 171 180 181 189 190 192 210 216 224 228 240 252 256 266 270 280 285 288 304 315 320 336 342 360 362 378 380 384 399 420 432 448 456 480 504 513 532 540 543 560 570 576 608 630 640 665 672 684 720 724 756 760 768 798 840 855 864 896 905 912 945 960 1008 1026 1064 1080 1086 1120 1140 1152 1197 1216 1260 1267 1280 1330 1344 1368 1440 1448 1512 1520 1596 1629 1680 1710 1728 1792 1810 1824 1890 1920 1995 2016 2052 2128 2160 2172 2240 2280 2304 2394 2432 2520 2534 2565 2660 2688 2715 2736 2880 2896 3024 3040 3192 3258 3360 3420 3439 3456 3591 3620 3648 3780 3801 3840 3990 4032 4104 4256 4320 4344 4480 4560 4788 4864 4887 5040 5068 5130 5320 5376 5430 5472 5760 5792 5985 6048 6080 6335 6384 6516 6720 6840 6878 6912 7182 7240 7296 7560 7602 7980 8064 8145 8208 8512 8640 8688 8960 9120 9576 9774 10080 10136 10260 10317 10640 10860 10944 11403 11520 11584 11970 12096 12160 12670 12768 13032 13440 13680 13756 14364 14480 14592 15120 15204 15960 16128 16290 16416 16453 17024 17195 17280 17376 17955 18240 19005 19152 19548 20160 20272 20520 20634 21280 21720 21888 22806 23168 23940 24073 24192 24320 24435 25340 25536 26064 26880 27360 27512 28728 28960 30240 30408 30951 31920 32580 32832 32906 34048 34209 34390 34560 34752 35910 36480 38010 38304 39096 40320 40544 41040 41268 42560 43440 43776 45612 46336 47880 48146 48384 48870 49359 50680 51072 51585 52128 54720 55024 57015 57456 57920 60480 60816 61902 63840 65160 65664 65812 68418 68780 69504 71820 72219 72960 76020 76608 78192 80640 81088 82080 82265 82536 85120 86880 91224 92853 95760 96292 97740 98718 101360 102144 103170 104256 109440 110048 114030 114912 115171 115840 120365 120960 121632 123804 127680 130320 131328 131624 136836 137560 139008 143640 144438 148077 152040 153216 154755 156384 162176 164160 164530 165072 170240 171045 173760 182448 185706 191520 192584 195480 197436 202720 206340 208512 216657 218880 220096 228060 229824 230342 231680 240730 241920 243264 246795 247608 255360 260640 263248 273672 275120 287280 288876 296154 304080 306432 309510 312607 312768 324352 328320 329060 330144 342090 345513 347520 361095 364896 371412 383040 385168 390960 394872 405440 412680 417024 433314 440192 444231 456120 459648 460684 464265 481460 486528 493590 495216 510720 521280 526496 547344 550240 574560 575855 577752 592308 608160 619020 625214 625536 649971 656640 658120 660288 684180 691026 695040 722190 729792 740385 742824 766080 770336 781920 789744 810880 825360 866628 880384 888462 912240 919296 921368 928530 937821 962920 973056 987180 990432 1036539 1042560 1052992 1083285 1094688 1100480 1149120 1151710 1155504 1184616 1216320 1238040 1250428 1251072 1299942 1316240 1320576 1368360 1382052 1444380 1459584 1480770 1485648 1532160 1540672 1563035 1563840 1579488 1621760 1650720 1727565 1733256 1776924 1824480 1842736 1857060 1875642 1925840 1974360 1980864 2073078 2085120 2105984 2166570 2188249 2189376 2200960 2221155 2298240 2303420 2311008 2369232 2432640 2476080 2500856 2599884 2632480 2641152 2736720 2764104 2813463 2888760 2919168 2961540 2971296 2977993 3081344 3109617 3126070 3127680 3158976 3249855 3301440 3455130 3466512 3553848 3648960 3685472 3714120 3751284 3851680 3948720 3961728 4146156 4211968 4333140 4376498 4378752 4401920 4442310 4596480 4606840 4622016 4689105 4738464 4865280 4952160 5001712 5182695 5199768 5264960 5473440 5528208 5626926 5777520 5923080 5942592 5955986 6162688 6219234 6252140 6255360 6317952 6499710 6564747 6602880 6910260 6933024 7107696 7297920 7370944 7428240 7502568 7703360 7897440 7923456 8292312 8440389 8666280 8752996 8757504 8884620 8933979 9213680 9244032 9378210 9476928 9904320 10003424 10365390 10399536 10529920 10941245 10946880 11056416 11253852 11555040 11846160 11885184 11911972 12438468 12504280 12635904 12999420 13129494 13205760 13820520 13866048 14067315 14215392 14595840 14741888 14856480 14889965 15005136 15406720 15548085 15794880 16584624 16880778 17332560 17505992 17769240 17867958 18427360 18488064 18756420 18953856 19694241 19808640 20006848 20730780 20799072 20845951 21059840 21882490 21893760 22112832 22507704 23110080 23692320 23770368 23823944 24876936 25008560 25998840 26258988 26801937 27641040 27732096 28134630 28430784 29483776 29712960 29779930 30010272 30813440 31096170 31589760 32823735 33169248 33761556 34665120 35011984 35538480 35735916 36854720 37512840 37907712 39388482 39617280 40013696 41461560 41598144 41691902 42201945 43764980 43787520 44225664 44669895 45015408 46220160 47384640 47647888 49753872 50017120 51997680 52517976 53603874 55282080 55464192 56269260 56581867 56861568 59082723 59425920 59559860 60020544 62192340 62537853 63179520 65647470 66338496 67523112 69330240 70023968 71076960 71471832 73709440 75025680 78776964 80027392 80405811 82923120 83196288 83383804 84403890 87529960 88451328 89339790 90030816 92440320 94769280 95295776 98471205 99507744 100034240 103995360 104229755 105035952 107207748 110564160 112538520 113163734 113723136 118165446 118851840 119119720 120041088 124384680 125075706 131294940 132676992 134009685 135046224 138660480 140047936 142153920 142943664 147418880 150051360 157553928 160811622 165846240 166392576 166767608 168807780 169745601 175059920 178679580 180061632 187613559 189538560 190591552 196942410 199015488 200068480 207990720 208459510 210071904 214415496 221128320 225077040 226327468 236330892 238239440 240082176 248769360 250151412 262589880 265353984 268019370 270092448 277320960 280095872 282909335 284307840 285887328 295413615 300102720 312689265 315107856 321623244 331692480 333535216 337615560 339491202 350119840 357359160 360123264 375227118 381183104 393884820 396073069 398030976 400136960 402029055 415981440 416919020 420143808 428830992 442256640 450154080 452654936 472661784 476478880 497538720 500302824 509236803 525179760 536038740 540184896 560191744 562840677 565818670 568615680 571774656 590827230 600205440 625378530 630215712 643246488 663384960 667070432 675231120 678982404 700239680 714718320 720246528 750454236 762366208 787769640 792146138 796061952 804058110 831962880 833838040 840287616 848728005 857661984 900308160 905309872 938067795 945323568 952957760 995077440 1000605648 1018473606 1050359520 1072077480 1080369792 1125681354 1131637340 1143549312 1181654460 1188219207 1200410880 1250757060 1260431424 1286492976 1326769920 1334140864 1350462240 1357964808 1400479360 1429436640 1500908472 1527710409 1575539280 1584292276 1608116220 1667676080 1680575232 1697456010 1715323968 1800616320 1810619744 1876135590 1890647136 1905915520 1980365345 1990154880 2001211296 2036947212 2100719040 2144154960 2160739584 2251362708 2263274680 2287098624 2363308920 2376438414 2501514120 2520862848 2546184015 2572985952 2668281728 2700924480 2715929616 2800958720 2814203385 2858873280 3001816944 3055420818 3151078560 3168584552 3216232440 3335352160 3394912020 3430647936 3564657621 3601232640 3621239488 3752271180 3781294272 3811831040 3960730690 3980309760 4002422592 4073894424 4201438080 4288309920 4502725416 4526549360 4726617840 4752876828 5003028240 5041725696 5092368030 5145971904 5336563456 5401848960 5431859232 5628406770 5717746560 5941096035 6003633888 6110841636 6302157120 6337169104 6432464880 6670704320 6789824040 6861295872 7129315242 7242478976 7504542360 7562588544 7638552045 7921461380 8004845184 8147788848 8402876160 8576619840 9005450832 9053098720 9453235680 9505753656 10006056480 10184736060 10291943808 10693972863 10803697920 10863718464 11256813540 11435493120 11882192070 12007267776 12221683272 12604314240 12674338208 12864929760 13341408640 13579648080 14258630484 14484957952 15009084720 15125177088 15277104090 15842922760 16009690368 16295577696 17153239680 17823288105 18010901664 18106197440 18906471360 19011507312 20012112960 20369472120 20583887616 21387945726 21727436928 22513627080 23764384140 24014535552 24443366544 25208628480 25348676416 25729859520 26682817280 27159296160 28517260968 30018169440 30554208180 31685845520 32591155392 34306479360 35646576210 36021803328 36212394880 37812942720 38023014624 40024225920 40738944240 42775891452 43454873856 45027254160 47528768280 48029071104 48886733088 50697352832 51459719040 53469864315 54318592320 57034521936 60036338880 61108416360 63371691040 65182310784 71293152420 72043606656 72424789760 75625885440 76046029248 80048451840 81477888480 85551782904 90054508320 95057536560 97773466176 101394705664 102919438080 106939728630 108637184640 114069043872 120072677760 122216832720 126743382080 130364621568 142586304840 144087213312 152092058496 162955776960 171103565808 180109016640 190115073120 195546932352 213879457260 217274369280 228138087744 240145355520 244433665440 253486764160 285172609680 304184116992 325911553920 342207131616 360218033280 380230146240 391093864704 427758914520 456276175488 488867330880 506973528320 570345219360 651823107840 684414263232 720436066560 760460292480 855517829040 912552350976 977734661760 1140690438720 1368828526464 1520920584960 1711035658080 1955469323520 2281380877440 2737657052928 3422071316160 4562761754880 6844142632320 13688285264640
- Sum of all divisors σ(n): 58761788467200
- Sum of proper divisors (its aliquot sum) s(n): 45073503202560
- 13688285264640 is an abundant number, because the sum of its proper divisors (45073503202560) is greater than itself. Its abundance is 31385217937920
Bases of 13688285264640
- Binary: 110001110011000011010110000101111011000000002
- Hexadecimal: 0xC730D617B00
- Base-36: 4UOB7MIO0
Squares and roots of 13688285264640
- 13688285264640 squared (136882852646402) is 187369153486160554834329600
- 13688285264640 cubed (136882852646403) is 2564762422712682008907960580092985344000
-
The
square root of 13688285264640 is 3699768.2717489213 -
The
cube root of 13688285264640 is 23921.2029558733
Scales and comparisons
How big is 13688285264640?- 13,688,285,264,640 seconds is equal to 435,245 years, 6 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 13,688,285,264,640 would take you about one million, eighty-eight thousand, one 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 13688285264640 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688285264640
- 13688285264640 backwards is 04646258288631
- 13688285264640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13688285264640's digits is 63
- More coming soon!
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The information we have on file for 13688285264640 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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