3972785992131264
3,972,785,992,131,264 is an even composite number composed of eight prime numbers multiplied together.
3972785992131264 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 3972785992131264:
26 × 3 × 72 × 11 × 192 × 31 × 67 × 51199
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 19 × 19 × 31 × 67 × 51199)See below for interesting mathematical facts about the number 3972785992131264 from the Numbermatics database.
Names of 3972785992131264
- Cardinal: 3972785992131264 can be written as Three quadrillion, nine hundred seventy-two trillion, seven hundred eighty-five billion, nine hundred ninety-two million, one hundred thirty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.972785992131264 × 1015
Factors of 3972785992131264
Divisors of 3972785992131264
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 31 32 33 38 42 44 48 49 56 57 62 64 66 67 76 77 84 88 93 96 98 112 114 124 132 133 134 147 152 154 168 176 186 192 196 201 209 217 224 228 231 248 264 266 268 294 304 308 336 341 352 361 372 392 399 402 418 434 448 456 462 469 496 528 532 536 539 588 589 608 616 627 651 672 682 704 722 737 744 784 798 804 836 868 912 924 931 938 992 1023 1056 1064 1072 1078 1083 1176 1178 1216 1232 1254 1273 1302 1344 1364 1407 1444 1463 1474 1488 1519 1568 1596 1608 1617 1672 1736 1767 1824 1848 1862 1876 1984 2046 2077 2112 2128 2144 2156 2166 2211 2352 2356 2387 2464 2508 2527 2546 2604 2728 2793 2814 2888 2926 2948 2976 3038 3136 3192 3216 3234 3283 3344 3472 3534 3648 3696 3724 3752 3819 3971 4092 4123 4154 4256 4288 4312 4332 4389 4422 4557 4704 4712 4774 4928 5016 5054 5092 5159 5208 5456 5586 5628 5776 5852 5896 5952 6076 6231 6384 6432 6468 6479 6566 6688 6944 7068 7161 7392 7448 7504 7581 7638 7942 8184 8246 8308 8512 8624 8664 8778 8844 8911 9114 9408 9424 9548 9849 10032 10108 10184 10241 10318 10416 10912 11172 11191 11256 11552 11704 11792 11913 12152 12369 12462 12768 12864 12936 12958 13132 13376 13888 14003 14136 14322 14539 14784 14896 15008 15162 15276 15477 15884 16368 16492 16616 16709 17248 17328 17556 17688 17689 17822 18228 18848 19096 19437 19698 20064 20216 20368 20482 20636 20832 21824 22344 22382 22512 22847 23104 23408 23584 23826 24187 24304 24738 24924 25536 25872 25916 26264 26733 27797 28006 28272 28644 28861 29078 29792 30016 30324 30552 30723 30954 31768 32736 32984 33232 33418 33573 34496 34656 35112 35376 35378 35644 36113 36456 37696 38192 38874 39396 39463 40128 40432 40736 40964 41272 41664 42009 43617 44688 44764 45024 45353 45694 46816 47168 47652 48374 48608 49476 49848 50127 51199 51744 51832 52528 53067 53466 55594 56012 56544 57288 57722 58156 59584 60648 61104 61446 61908 62377 63536 65472 65968 66464 66836 67146 68541 69312 70224 70752 70756 71288 72226 72561 72912 76384 77748 78337 78792 78926 80864 81472 81928 82544 83391 84018 86583 87234 89376 89528 90048 90706 91388 93632 95304 96748 97216 98021 98952 99696 100254 101773 102398 103488 103664 105056 106134 106932 108339 111188 112024 113088 114576 115444 116312 118389 121296 122208 122892 123101 123816 124754 127072 131936 132928 133672 134292 136059 137082 140448 141504 141512 142576 144452 145122 145824 152768 153597 155496 156674 157584 157852 159929 161728 163856 165088 166782 168036 169309 173166 174468 178752 179056 181412 182776 187131 190608 193496 194579 196042 197904 199392 200508 203546 204796 207328 210112 212268 213864 216678 222376 224048 229152 230888 232624 235011 236778 242592 244416 245784 246202 247632 249508 254144 263872 266057 267344 268584 272118 274164 276241 280896 283024 285152 288904 290244 291648 294063 305319 307194 310992 313348 315168 315704 317471 319858 327712 330176 333564 336072 338618 346332 348936 358112 358393 362824 365552 369303 374262 381216 386992 389158 392084 395808 398784 401016 407092 409592 414656 424536 427728 433356 434093 444752 448096 458304 461776 465248 470022 473556 479787 485184 491568 492404 495264 499016 507927 532114 534688 537168 544236 548328 548359 552482 563189 566048 570304 577808 580488 583737 588126 610638 614388 621984 626696 630336 631408 634942 639716 655424 667128 672144 677236 686147 692664 697872 716224 716786 725648 731104 738606 748524 749797 762432 773984 778316 784168 791616 798171 802032 814184 819184 828723 849072 855456 861707 866712 868186 889504 896192 923552 930496 940044 947112 952413 959574 972781 983136 984808 990528 998032 1015854 1064228 1069376 1074336 1075179 1088472 1096656 1096718 1104964 1119503 1126378 1132096 1155616 1160976 1167474 1176252 1185163 1221276 1228776 1243968 1253392 1262816 1269884 1279432 1302279 1334256 1344288 1354472 1372294 1385328 1395744 1433572 1451296 1462208 1477212 1497048 1499594 1547968 1556632 1568336 1587169 1596342 1604064 1628368 1638368 1645077 1657446 1689567 1698144 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19765104438464 20269316286384 20691593709017 21359064473824 22572647682564 23647535667448 25797311637216 26136749948232 27025755048512 29647656657696 29870571369408 30096863576752 32038596710736 34848999930976 35471303501172 40538632572768 41383187418034 42718128947648 45145295365128 47295071334896 51594623274432 52273499896464 59295313315392 60193727153504 62074781127051 64077193421472 69697999861952 70942607002344 81077265145536 82766374836068 90290590730256 94590142669792 104546999792928 120387454307008 124149562254102 128154386842944 141885214004688 165532749672136 180581181460512 189180285339584 209093999585856 248299124508204 283770428009376 331065499344272 361162362921024 496598249016408 567540856018752 662130998688544 993196498032816 1324261997377088 1986392996065632 3972785992131264
- Sum of all divisors σ(n): 14749375817318400
- Sum of proper divisors (its aliquot sum) s(n): 10776589825187136
- 3972785992131264 is an abundant number, because the sum of its proper divisors (10776589825187136) is greater than itself. Its abundance is 6803803833055872
Bases of 3972785992131264
- Binary: 11100001110100111010010100011101010001100010110000002
- Hexadecimal: 0xE1D3A51D462C0
- Base-36: 1348GOTF4QO
Squares and roots of 3972785992131264
- 3972785992131264 squared (39727859921312642) is 15783028539274391624925006237696
- 3972785992131264 cubed (39727859921312643) is 62702594694237268350003496573885447173216927744
-
The
square root of 3972785992131264 is 63030040.3944917681 -
The
cube root of 3972785992131264 is 158379.2894793189
Scales and comparisons
How big is 3972785992131264?- 3,972,785,992,131,264 seconds is equal to 126,322,305 years, 47 weeks, 4 days, 8 hours, 54 minutes, 24 seconds.
-
To count from 1 to 3,972,785,992,131,264 would take you about three hundred seventy-eight million, nine hundred sixty-six thousand, nine hundred seventeen 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 3972785992131264 cubic inches would be around 13198.3 feet tall.
Recreational maths with 3972785992131264
- 3972785992131264 backwards is 4621312995872793
- The number of decimal digits it has is: 16
- The sum of 3972785992131264's digits is 78
- More coming soon!
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The information we have on file for 3972785992131264 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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