31814014099728
31,814,014,099,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 31814014099728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
31814014099728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 31814014099728:
24 × 3 × 73 × 232 × 413 × 53
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 23 × 23 × 41 × 41 × 41 × 53)See below for interesting mathematical facts about the number 31814014099728 from the Numbermatics database.
Names of 31814014099728
- Cardinal: 31814014099728 can be written as Thirty-one trillion, eight hundred fourteen billion, fourteen million, ninety-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.1814014099728 × 1013
Factors of 31814014099728
Divisors of 31814014099728
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 41 42 46 48 49 53 56 69 82 84 92 98 106 112 123 138 147 159 161 164 168 184 196 212 246 276 287 294 318 322 328 336 343 368 371 392 424 483 492 529 552 574 588 636 644 656 686 742 784 848 861 943 966 984 1029 1058 1104 1113 1127 1148 1176 1219 1272 1288 1372 1484 1587 1681 1722 1886 1932 1968 2009 2058 2116 2173 2226 2254 2296 2352 2438 2544 2576 2597 2744 2829 2968 3174 3362 3381 3444 3657 3703 3772 3864 4018 4116 4232 4346 4452 4508 4592 4876 5043 5194 5488 5658 5936 6027 6348 6519 6601 6724 6762 6888 7314 7406 7544 7728 7791 7889 8036 8232 8464 8533 8692 8904 9016 9752 10086 10388 11109 11316 11767 12054 12696 13038 13202 13448 13524 13776 14063 14628 14812 15088 15211 15582 15778 16072 16464 17066 17384 17808 18032 18179 19504 19803 20172 20776 21689 22218 22632 23534 23667 24108 25392 25599 25921 26076 26404 26896 27048 28037 28126 29256 29624 30422 31164 31556 32144 34132 34768 35301 36358 38663 39606 40344 41552 42189 43378 44436 45264 45633 46207 47068 47334 48216 49979 51198 51842 52152 52808 54096 54537 56074 56252 58512 59248 59731 60844 62328 63112 65067 68264 68921 70602 72716 77326 77763 79212 80688 82369 84111 84378 86756 88872 89093 91266 92414 94136 94668 96432 99958 102396 103684 104304 105616 106477 109074 112148 112504 115989 119462 121688 124656 126224 130134 136528 137842 138621 141204 145432 149937 151823 154652 155526 158424 164738 168222 168756 173512 177744 178186 179193 181447 182532 184828 188272 189336 196259 199916 204792 206763 207368 212954 218148 224296 225008 231978 238924 243376 247107 260268 267279 270641 275684 277242 282408 290864 299874 303646 309304 311052 316848 319431 323449 329476 336444 337512 347024 349853 356372 358386 362894 365064 369656 378672 392518 399832 409584 413526 414736 418117 425908 436296 448592 455469 463956 477848 482447 494214 520536 534558 541282 544341 551368 554484 564816 576583 588777 599748 607292 618608 622104 623651 638862 646898 658952 672888 675024 699706 712744 716772 725788 730128 739312 745339 785036 799664 811923 827052 836234 851816 872592 889249 910938 927912 955696 964894 970347 988428 1041072 1049559 1062761 1069116 1082564 1088682 1102736 1108968 1149517 1153166 1177554 1199496 1214584 1244208 1247302 1254351 1277724 1293796 1317904 1345776 1373813 1399412 1425488 1433544 1447341 1451576 1490678 1570072 1585183 1623846 1654104 1672468 1703632 1729749 1778498 1821876 1855824 1870953 1894487 1929788 1940694 1976856 2049139 2099118 2125522 2138232 2165128 2177364 2217936 2236017 2299034 2306332 2355108 2398992 2429168 2448971 2494604 2508702 2555448 2587592 2667747 2747626 2798824 2867088 2894682 2903152 2981356 3140144 3170366 3188283 3247692 3308208 3344936 3377129 3448551 3459498 3556996 3643752 3652813 3741906 3788974 3859576 3881388 3953712 4098278 4121439 4198236 4251044 4276464 4330256 4354728 4365557 4472034 4598068 4612664 4710216 4755549 4897942 4989208 5017404 5110896 5175184 5335494 5495252 5597648 5683461 5789364 5962712 6147417 6224743 6340732 6376566 6495384 6689872 6754258 6897102 6918996 7113992 7287504 7305626 7346913 7439327 7483812 7577948 7719152 7762776 8046619 8196556 8242878 8396472 8502088 8709456 8731114 8944068 9196136 9225328 9420432 9511098 9616691 9795884 9978416 10034808 10131387 10670988 10958439 10990504 11096281 11366922 11578728 11925424 12294834 12449486 12681464 12753132 12990768 13096671 13261409 13508516 13794204 13837992 14227984 14343973 14611252 14693826 14878654 14967624 15155896 15525552 16093238 16393112 16485756 16792944 17004176 17142797 17462228 17888136 18392272 18674229 19022196 19233382 19591768 20069616 20262774 21341976 21916878 21981008 22192562 22317981 22733844 23157456 23639903 24139857 24589668 24898972 25362928 25506264 25569691 26193342 26522818 27017032 27588408 27675984 28687946 28850073 29222504 29387652 29757308 29935248 30311792 30558899 32186476 32786224 32971512 33288843 34285594 34924456 35776272 36459209 37348458 38044392 38466764 39183536 39784227 40525548 42683952 43031919 43573201 43833756 44385124 44635962 45467688 47130197 47279806 48279714 49179336 49797944 51012528 51139382 51428391 52386684 53045636 54034064 55176816 56326333 57375892 57700146 58445008 58775304 59514616 61117798 64372952 65943024 66577686 68571188 69848912 70919709 72918418 74696916 76088784 76709073 76933528 77673967 79568454 81051096 84014699 86063838 87146402 87667512 88770248 89271924 90935376 91676697 94260394 94559612 96559428 98358672 99595888 100407811 102278764 102856782 104773368 106091272 109377627 112652666 114751784 115400292 117550608 119029232 122235596 128745904 130719603 133155372 137142376 141390591 141839418 145836836 149393832 153418146 153867056 155347934 159136908 162102192 168029398 168978999 172127676 174292804 175335024 177540496 178543848 178987837 183353394 188520788 189119224 193118856 200815622 204557528 205713564 209546736 212182544 218755254 225305332 229503568 230800584 233021901 244471192 252044097 255214463 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27712555836 28228938864 28584019856 28817041757 30069956616 30917409232 32331315142 32933762008 33737024496 36950074448 37516526061 40579099617 42876029784 46376113848 48496972713 49400643012 50022034748 54105466156 55425111672 57634083514 60139913232 64662630284 65867524016 75033052122 81158199234 85752059568 86451125271 92752227696 94684565773 96993945426 98801286024 100044069496 108210932312 110850223344 115268167028 129325260568 150066104244 162316398468 172902250542 189369131546 193987890852 197602572048 200088138992 216421864624 230536334056 258650521136 284053697319 300132208488 324632796936 345804501084 378738263092 387975781704 461072668112 568107394638 600264416976 649265593872 662791960411 691609002168 757476526184 775951563408 1136214789276 1325583920822 1383218004336 1514953052368 1988375881233 2272429578552 2651167841644 3976751762466 4544859157104 5302335683288 7953503524932 10604671366576 15907007049864 31814014099728
- Sum of all divisors σ(n): 104634727948800
- Sum of proper divisors (its aliquot sum) s(n): 72820713849072
- 31814014099728 is an abundant number, because the sum of its proper divisors (72820713849072) is greater than itself. Its abundance is 41006699749344
Bases of 31814014099728
- Binary: 1110011101111010001110000001001100001000100002
- Hexadecimal: 0x1CEF47026110
- Base-36: B9Z5MKXLC
Squares and roots of 31814014099728
- 31814014099728 squared (318140140997282) is 1012131493137691986329673984
- 31814014099728 cubed (318140140997283) is 32199965593461286328415803155097503076352
-
The
square root of 31814014099728 is 5640391.3073232783 -
The
cube root of 31814014099728 is 31686.3943642153
Scales and comparisons
How big is 31814014099728?- 31,814,014,099,728 seconds is equal to 1,011,587 years, 12 weeks, 3 days, 18 hours, 48 minutes, 48 seconds.
-
To count from 1 to 31,814,014,099,728 would take you about two million, five hundred twenty-eight thousand, nine hundred sixty-eight 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 31814014099728 cubic inches would be around 2640.5 feet tall.
Recreational maths with 31814014099728
- 31814014099728 backwards is 82799041041813
- The number of decimal digits it has is: 14
- The sum of 31814014099728's digits is 57
- More coming soon!
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"Number 31814014099728 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 31814014099728 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/31814014099728/
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The information we have on file for 31814014099728 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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