13901142947328
13,901,142,947,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 13901142947328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13901142947328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13901142947328:
29 × 32 × 7 × 132 × 37 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 37 × 41 × 41 × 41)See below for interesting mathematical facts about the number 13901142947328 from the Numbermatics database.
Names of 13901142947328
- Cardinal: 13901142947328 can be written as Thirteen trillion, nine hundred one billion, one hundred forty-two million, nine hundred forty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3901142947328 × 1013
Factors of 13901142947328
Divisors of 13901142947328
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 41 42 48 52 56 63 64 72 74 78 82 84 91 96 104 111 112 117 123 126 128 144 148 156 164 168 169 182 192 208 222 224 234 246 252 256 259 273 287 288 296 312 328 333 336 338 364 369 384 416 444 448 468 481 492 504 507 512 518 533 546 574 576 592 624 656 666 672 676 728 738 768 777 819 832 861 888 896 936 962 984 1008 1014 1036 1066 1092 1148 1152 1183 1184 1248 1312 1332 1344 1352 1443 1456 1476 1517 1521 1536 1554 1599 1638 1664 1681 1722 1776 1792 1872 1924 1968 2016 2028 2072 2132 2184 2296 2304 2331 2366 2368 2496 2583 2624 2664 2688 2704 2886 2912 2952 3034 3042 3108 3198 3276 3328 3362 3367 3444 3549 3552 3584 3731 3744 3848 3936 4032 4056 4144 4264 4329 4368 4551 4592 4608 4662 4732 4736 4797 4992 5043 5166 5248 5328 5376 5408 5772 5824 5904 6068 6084 6216 6253 6396 6552 6656 6724 6734 6888 6929 7098 7104 7462 7488 7696 7872 8064 8112 8288 8528 8658 8736 9102 9184 9324 9464 9472 9594 9984 10086 10101 10332 10496 10619 10647 10656 10752 10816 11193 11544 11648 11767 11808 12136 12168 12432 12506 12792 13104 13448 13468 13653 13776 13858 14196 14208 14924 14976 15129 15392 15744 16128 16224 16576 17056 17316 17472 18204 18368 18648 18759 18928 18944 19188 19721 19968 20172 20202 20664 20787 20992 21238 21294 21312 21632 21853 22386 23088 23296 23534 23616 24272 24336 24864 25012 25584 26208 26896 26936 27306 27552 27716 28392 28416 29848 29952 30258 30303 30784 31488 31857 32256 32448 33152 33579 34112 34632 34944 35301 36408 36736 37296 37518 37856 38376 39442 40344 40404 41328 41574 42476 42588 42624 43264 43706 43771 44772 46176 46592 47068 47232 48503 48544 48672 49728 50024 51168 52416 53792 53872 54612 55104 55432 56277 56784 56832 59163 59696 59904 60516 60606 61568 62197 62361 62976 63714 64896 65559 66304 67158 68224 68921 69264 69888 70602 72816 73472 74592 75036 75712 76752 78884 80688 80808 82656 83148 84952 85176 85248 86528 87412 87542 89544 92352 94136 94464 95571 97006 97088 97344 99456 100048 102336 104832 105903 107584 107744 109224 110208 110864 112554 113568 118326 119392 121032 121212 123136 124394 124722 127428 129792 131118 131313 132608 134316 136448 137842 138047 138528 139776 141204 145509 145632 146944 149184 150072 151424 152971 153504 157768 161376 161616 165312 166296 169904 170352 170496 174824 175084 177489 179088 184704 186591 188272 188928 191142 194012 194176 194688 196677 198912 200096 204672 206763 209664 211806 215168 215488 218448 220416 221728 225108 227136 236652 238784 242064 242424 246272 248788 249444 254856 256373 259584 262236 262626 268632 272896 275684 276094 277056 282408 284089 291018 291264 298368 300144 302848 305942 307008 315536 322752 323232 330624 332592 339808 340704 349648 350168 354978 358176 369408 373182 376544 382284 388024 388352 389376 393354 393939 397824 400192 409344 413526 414141 419328 423612 430336 430976 435379 436527 436896 440832 443456 450216 454272 458913 473304 477568 482447 484128 484848 497576 498888 509712 512746 524472 525252 537264 551368 552188 554112 559773 564816 568178 582036 582528 596736 600288 605696 611884 614016 620289 631072 645504 646464 661248 665184 679616 681408 699296 700336 709956 716352 738816 746364 753088 764568 769119 776048 776704 778752 786708 787878 800384 808561 818688 827052 828282 847224 852267 860672 861952 870758 873054 873792 886912 895973 900432 908544 917826 946608 955136 964894 968256 969696 995152 997776 1019424 1025492 1048944 1050504 1074528 1102736 1104376 1108224 1119546 1129632 1136356 1164072 1165056 1193472 1200576 1223768 1228032 1240578 1242423 1262144 1291008 1292928 1306137 1322496 1330368 1359232 1362816 1376739 1398592 1400672 1419912 1432704 1447341 1492728 1506176 1529136 1538238 1552096 1573416 1575756 1600768 1617122 1654104 1656564 1694448 1704534 1723904 1741516 1746108 1747584 1773824 1791946 1794611 1800864 1817088 1835652 1893216 1910272 1929788 1936512 1939392 1988623 1990304 1995552 2038848 2050984 2097888 2101008 2149056 2205472 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6895408208 7063588896 7225126272 7425824224 7757334234 7827220128 8072673024 8269567488 8354052252 8486656256 8693647872 8945394432 9050223273 9139475968 9163574784 9418118528 9547488288 9633501696 10281910464 10343112312 10436293504 10595383344 11138736336 11740830192 11750754816 12066964364 12109009536 12729984384 13040471808 13418091648 13709213952 13790816416 14127177792 14450252544 14851648448 15514668468 15654440256 16145346048 16708104504 16973312512 17890788864 18100446546 18836237056 19094976576 20563820928 20686224624 20872587008 21190766688 22277472672 23481660384 24133928728 24218019072 25459968768 26080943616 26836183296 27150669819 27418427904 27581632832 28254355584 28900505088 29703296896 31029336936 31308880512 33416209008 36200893092 37672474112 38189953152 41127641856 41372449248 41745174016 42381533376 44554945344 46963320768 48267857456 48436038144 50919937536 53672366592 54301339638 55163265664 56508711168 59406593792 62058673872 62617761024 66832418016 72401786184 76379906304 82255283712 82744898496 84763066752 89109890688 93926641536 96535714912 108602679276 110326531328 113017422336 118813187584 124117347744 125235522048 133664836032 144803572368 152759812608 165489796992 169526133504 178219781376 187853283072 193071429824 217205358552 220653062656 248234695488 267329672064 289607144736 330979593984 339052267008 356439562752 375706566144 386142859648 434410717104 496469390976 534659344128 579214289472 661959187968 772285719296 868821434208 992938781952 1069318688256 1158428578944 1544571438592 1737642868416 1985877563904 2316857157888 3475285736832 4633714315776 6950571473664 13901142947328
- Sum of all divisors σ(n): 52265961139392
- Sum of proper divisors (its aliquot sum) s(n): 38364818192064
- 13901142947328 is an abundant number, because the sum of its proper divisors (38364818192064) is greater than itself. Its abundance is 24463675244736
Bases of 13901142947328
- Binary: 110010100100100111001010111111110110000000002
- Hexadecimal: 0xCA49CAFF600
- Base-36: 4XE3HLDS0
Squares and roots of 13901142947328
- 13901142947328 squared (139011429473282) is 193241775242046994582339584
- 13901142947328 cubed (139011429473283) is 2686281541035124098860228533103521431552
-
The
square root of 13901142947328 is 3728423.6544856327 -
The
cube root of 13901142947328 is 24044.5601246009
Scales and comparisons
How big is 13901142947328?- 13,901,142,947,328 seconds is equal to 442,013 years, 18 weeks, 4 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,901,142,947,328 would take you about one million, one hundred five thousand and thirty-three 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 13901142947328 cubic inches would be around 2003.7 feet tall.
Recreational maths with 13901142947328
- 13901142947328 backwards is 82374924110931
- The number of decimal digits it has is: 14
- The sum of 13901142947328's digits is 54
- More coming soon!
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"Number 13901142947328 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 13901142947328 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!
Keywords: Divisors of 13901142947328, math, Factors of 13901142947328, curriculum, school, college, exams, university, Prime factorization of 13901142947328, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred one billion, one hundred forty-two million, nine hundred forty-seven thousand, three hundred twenty-eight.