13831431187316602961920
13,831,431,187,316,602,961,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 13831431187316602961920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
13831431187316602961920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13831431187316602961920:
217 × 5 × 72 × 13 × 712 × 810712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 71 × 71 × 81071 × 81071)See below for interesting mathematical facts about the number 13831431187316602961920 from the Numbermatics database.
Names of 13831431187316602961920
- Cardinal: 13831431187316602961920 can be written as Thirteen sextillion, eight hundred thirty-one quintillion, four hundred thirty-one quadrillion, one hundred eighty-seven trillion, three hundred sixteen billion, six hundred two million, nine hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.383143118731660296192 × 1022
Factors of 13831431187316602961920
Divisors of 13831431187316602961920
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 71 80 91 98 104 112 128 130 140 142 160 182 196 208 224 245 256 260 280 284 320 355 364 392 416 448 455 490 497 512 520 560 568 637 640 710 728 784 832 896 910 923 980 994 1024 1040 1120 1136 1274 1280 1420 1456 1568 1664 1792 1820 1846 1960 1988 2048 2080 2240 2272 2485 2548 2560 2840 2912 3136 3185 3328 3479 3584 3640 3692 3920 3976 4096 4160 4480 4544 4615 4970 5041 5096 5120 5680 5824 6272 6370 6461 6656 6958 7168 7280 7384 7840 7952 8192 8320 8960 9088 9230 9940 10082 10192 10240 11360 11648 12544 12740 12922 13312 13916 14336 14560 14768 15680 15904 16384 16640 17395 17920 18176 18460 19880 20164 20384 20480 22720 23296 25088 25205 25480 25844 26624 27832 28672 29120 29536 31360 31808 32305 32768 33280 34790 35287 35840 36352 36920 39760 40328 40768 40960 45227 45440 46592 50176 50410 50960 51688 53248 55664 57344 58240 59072 62720 63616 64610 65533 65536 66560 69580 70574 71680 72704 73840 79520 80656 81071 81536 81920 90454 90880 93184 100352 100820 101920 103376 106496 111328 114688 116480 118144 125440 127232 129220 131066 131072 133120 139160 141148 143360 145408 147680 159040 161312 162142 163072 163840 176435 180908 181760 186368 200704 201640 203840 206752 212992 222656 226135 229376 232960 236288 247009 250880 254464 258440 262132 266240 278320 282296 286720 290816 295360 318080 322624 324284 326144 327665 327680 352870 361816 363520 372736 401408 403280 405355 407680 413504 425984 445312 452270 458731 458752 465920 472576 494018 501760 508928 516880 524264 532480 556640 564592 567497 573440 581632 590720 636160 645248 648568 652288 655330 655360 705740 723632 727040 745472 802816 806560 810710 815360 827008 851968 890624 904540 917462 917504 931840 945152 988036 1003520 1017856 1033760 1048528 1053923 1064960 1113280 1129184 1134994 1146880 1163264 1181440 1235045 1272320 1290496 1297136 1304576 1310660 1411480 1447264 1454080 1490944 1605632 1613120 1621420 1630720 1654016 1703936 1781248 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26759462906896384 27177579514816640 27565830650742592 27997828393533440 29268162554417920 29686279162338176 30150127274249710 30151507500728320 30582243322167296 31060090874076160 32469367833807380 33449328633620480 33927176185529344 34121772735791104 34297339782078464 34457288313428240 37107848952922720 38048611320743296 38227804152709120 39196959750946816 42210178183949594 42212110501019648 42408970231911680 42652215919738880 42871674727598080 43484127223706624 46829060087068672 47560764150929120 48240203638799536 48996199688683520 49696145398521856 51950988534091808 52765138126274560 53518925813792768 54355159029633280 55131661301485184 55995656787066880 58536325108835840 59372558324676352 60300254548499420 61164486644334592 62120181748152320 64938735667614760 66898657267240960 67854352371058688 68594679564156928 68914576626856480 74215697905845440 76097222641486592 76455608305418240 78393919501893632 84420356367899188 84817940463823360 85304431839477760 85743349455196160 86968254447413248 93658120174137344 95121528301858240 96480407277599072 97992399377367040 99392290797043712 103901977068183616 105525445459873985 105530276252549120 107037851627585536 108710318059266560 110263322602970368 117072650217671680 118745116649352704 120600509096998840 124240363496304640 129877471335229520 133797314534481920 135708704742117376 137189359128313856 137829153253712960 148431395811690880 152194445282973184 152911216610836480 168840712735798376 169635880927646720 170608863678955520 171486698910392320 173936508894826496 187316240348274688 190243056603716480 192960814555198144 195984798754734080 198784581594087424 207803954136367232 211050890919747970 211060552505098240 214075703255171072 217420636118533120 220526645205940736 234145300435343360 237490233298705408 241201018193997680 248480726992609280 259754942670459040 267594629068963840 271417409484234752 274378718256627712 275658306507425920 296862791623381760 304388890565946368 305822433221672960 337681425471596752 339271761855293440 342973397820784640 347873017789652992 374632480696549376 380486113207432960 385921629110396288 391969597509468160 397569163188174848 415607908272734464 422101781839495940 428151406510342144 434841272237066240 441053290411881472 468290600870686720 474980466597410816 482402036387995360 496961453985218560 519509885340918080 535189258137927680 542834818968469504 548757436513255424 551316613014851840 593725583246763520 608777781131892736 675362850943193504 678543523710586880 685946795641569280 695746035579305984 749264961393098752 760972226414865920 771843258220792576 795138326376349696 831215816545468928 844203563678991880 869682544474132480 882106580823762944 936581201741373440 949960933194821632 964804072775990720 993922907970437120 1039019770681836160 1070378516275855360 1085669637936939008 1102633226029703680 1187451166493527040 1217555562263785472 1350725701886387008 1357087047421173760 1371893591283138560 1391492071158611968 1498529922786197504 1521944452829731840 1543686516441585152 1662431633090937856 1688407127357983760 1739365088948264960 1764213161647525888 1873162403482746880 1899921866389643264 1929608145551981440 1987845815940874240 2078039541363672320 2140757032551710720 2171339275873878016 2205266452059407360 2374902332987054080 2435111124527570944 2701451403772774016 2714174094842347520 2743787182566277120 2782984142317223936 2997059845572395008 3043888905659463680 3087373032883170304 3324863266181875712 3376814254715967520 3478730177896529920 3528426323295051776 3746324806965493760 3799843732779286528 3859216291103962880 3975691631881748480 4156079082727344640 4342678551747756032 4410532904118814720 4749804665974108160 4870222249055141888 5402902807545548032 5428348189684695040 5565968284634447872 6087777811318927360 6174746065766340608 6649726532363751424 6753628509431935040 6957460355793059840 7056852646590103552 7492649613930987520 7599687465558573056 7718432582207925760 8312158165454689280 8821065808237629440 9499609331948216320 9740444498110283776 10805805615091096064 10856696379369390080 12175555622637854720 12349492131532681216 13299453064727502848 13507257018863870080 13914920711586119680 14113705293180207104 14985299227861975040 15199374931117146112 15436865164415851520 16624316330909378560 17642131616475258880 18999218663896432640 19480888996220567552 21611611230182192128 21713392758738780160 24351111245275709440 24698984263065362432 26598906129455005696 27014514037727740160 27829841423172239360 28227410586360414208 30398749862234292224 30873730328831703040 33248632661818757120 35284263232950517760 37998437327792865280 38961777992441135104 43223222460364384256 48702222490551418880 49397968526130724864 53197812258910011392 54029028075455480320 56454821172720828416 61747460657663406080 66497265323637514240 70568526465901035520 75996874655585730560 86446444920728768512 97404444981102837760 98795937052261449728 106395624517820022784 108058056150910960640 123494921315326812160 132994530647275028480 141137052931802071040 151993749311171461120 172892889841457537024 194808889962205675520 197591874104522899456 212791249035640045568 216116112301821921280 246989842630653624320 265989061294550056960 282274105863604142080 345785779682915074048 395183748209045798912 432232224603643842560 493979685261307248640 531978122589100113920 691571559365830148096 864464449207287685120 987959370522614497280 1063956245178200227840 1383143118731660296192 1728928898414575370240 1975918741045228994560 2766286237463320592384 3457857796829150740480 6915715593658301480960 13831431187316602961920
- Sum of all divisors σ(n): 42179809768602969549996
- Sum of proper divisors (its aliquot sum) s(n): 28348378581286366588076
- 13831431187316602961920 is an abundant number, because the sum of its proper divisors (28348378581286366588076) is greater than itself. Its abundance is 14516947393969763626156
Bases of 13831431187316602961920
- Binary: 101110110111001101101010101100011011001101001000011000001000000000000000002
- Hexadecimal: 0x2EDCDAAC6CD21820000
- Base-36: 2930Q9UP1ZY18N4
Squares and roots of 13831431187316602961920
- 13831431187316602961920 squared (138314311873166029619202) is 191308488689474373131893960233576516970086400
- 13831431187316602961920 cubed (138314311873166029619203) is 2646070196858001437333279391613120936000196799352243298278309888000
-
The
square root of 13831431187316602961920 is 117607105173.6101655243 -
The
cube root of 13831431187316602961920 is 24004299.6852731395
Scales and comparisons
How big is 13831431187316602961920?- 13,831,431,187,316,602,961,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,831,431,187,316,602,961,920 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13831431187316602961920 cubic inches would be around 2000358.3 feet tall.
Recreational maths with 13831431187316602961920
- 13831431187316602961920 backwards is 02916920661378113413831
- The number of decimal digits it has is: 23
- The sum of 13831431187316602961920's digits is 85
- More coming soon!
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Cite this page
MLA style:
"Number 13831431187316602961920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 13831431187316602961920 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13831431187316602961920/
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Numbermatics. 2024. "Number 13831431187316602961920 - Facts about the integer". https://numbermatics.com/n/13831431187316602961920/
The information we have on file for 13831431187316602961920 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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