401361131350296
401,361,131,350,296 is an even composite number composed of six prime numbers multiplied together.
What does the number 401361131350296 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
401361131350296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 401361131350296:
23 × 33 × 132 × 232 × 472 × 972
(2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 23 × 23 × 47 × 47 × 97 × 97)See below for interesting mathematical facts about the number 401361131350296 from the Numbermatics database.
Names of 401361131350296
- Cardinal: 401361131350296 can be written as Four hundred one trillion, three hundred sixty-one billion, one hundred thirty-one million, three hundred fifty thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 4.01361131350296 × 1014
Factors of 401361131350296
Divisors of 401361131350296
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 47 52 54 69 72 78 92 94 97 104 108 117 138 141 156 169 184 188 194 207 216 234 276 282 291 299 312 338 351 376 388 414 423 468 507 529 552 564 582 598 611 621 676 702 776 828 846 873 897 936 1014 1058 1081 1128 1164 1196 1222 1242 1261 1269 1352 1404 1521 1587 1656 1692 1746 1794 1833 2028 2116 2162 2209 2231 2328 2392 2444 2484 2522 2538 2619 2691 2808 3042 3174 3243 3384 3492 3588 3666 3783 3887 4056 4232 4324 4418 4462 4559 4563 4761 4888 4968 5044 5076 5238 5382 5499 6084 6348 6486 6627 6693 6877 6984 7176 7332 7566 7774 7943 8073 8648 8836 8924 9118 9126 9409 9522 9729 10088 10152 10476 10764 10998 11349 11661 12168 12696 12972 13254 13386 13677 13754 14053 14283 14664 15132 15548 15886 16146 16393 16497 17672 17848 18236 18252 18818 19044 19458 19881 20079 20631 20952 21528 21996 22698 23322 23829 24863 25944 26508 26772 27354 27508 28106 28227 28566 28717 29003 29187 30264 31096 31772 32292 32786 32994 34047 34983 36472 36504 37636 38088 38916 39762 40158 41031 41262 42159 43992 45396 46644 47658 49179 49726 50807 51313 53016 53544 54708 55016 56212 56454 57132 57434 58006 58374 59267 59643 60237 61893 63544 64584 65572 65988 68094 69966 71487 74589 75272 77832 79524 80316 82062 82524 84318 84681 86151 87009 89401 90792 93288 95316 98358 99452 101614 102626 104857 104949 109416 112424 112908 114264 114868 116012 116748 118534 119286 120474 122317 123093 123786 126477 131144 131976 136188 139932 142974 147537 149178 152421 153939 159048 160632 164124 165048 168636 169362 172302 174018 177801 178802 182689 185679 190632 196716 198904 203228 205252 209714 209898 214273 214461 216407 223767 225816 229736 232024 233496 237068 238572 240948 244634 246186 247572 252954 254043 258453 261027 268203 272376 279864 285948 295074 298356 304842 307878 314571 323219 328248 337272 338724 344604 348036 355602 357604 365378 366951 371358 373321 377039 379431 393432 406456 410504 419428 419796 428546 428922 432814 442223 442611 447534 457263 461817 474136 477144 481896 489268 492372 495144 505908 508086 516906 522054 533403 536406 548067 571896 590148 596712 609684 615756 629142 642819 646438 649221 660491 667069 671301 677448 689208 696072 711204 715208 730756 733902 742716 746642 754078 758862 770471 775359 783081 804609 838856 839592 857092 857844 865628 884446 885222 895068 914526 923634 943713 969657 978536 984744 1011816 1016172 1033812 1044108 1066806 1072812 1096134 1100853 1119963 1131117 1168561 1180296 1219368 1231512 1258284 1285638 1292876 1298442 1320982 1326669 1334138 1342602 1363141 1371789 1385451 1422408 1461512 1467804 1485432 1493284 1508156 1517724 1540942 1550718 1566162 1590121 1600209 1609218 1644201 1714184 1715688 1731256 1768892 1770444 1790136 1829052 1847268 1887426 1928457 1939314 1947663 1981473 2001207 2032344 2067624 2088216 2133612 2145624 2192268 2201706 2239926 2262234 2311413 2337122 2411711 2413827 2516568 2571276 2585752 2596884 2641964 2653338 2668276 2685204 2726282 2743578 2770902 2785549 2813291 2831139 2908971 2935608 2986568 3016312 3035448 3081884 3101436 3132324 3180242 3200418 3218436 3288402 3302559 3359889 3393351 3505683 3537784 3540888 3658104 3694536 3774852 3856914 3878628 3895326 3962946 3980007 4002414 4089423 4201847 4267224 4384536 4403412 4479852 4524468 4622826 4674244 4770363 4823422 4827654 4928279 4932603 4977361 5142552 5193768 5283928 5306676 5336552 5370408 5452564 5487156 5541804 5571098 5626582 5662278 5748899 5785371 5817942 5842989 5944419 6003621 6163768 6202872 6264648 6360484 6400836 6436872 6576804 6605118 6719778 6786702 6934239 7011366 7235133 7549704 7713828 7757256 7790652 7925892 7960014 8004828 8178846 8356647 8403694 8439873 8586383 8671897 8726913 8806824 8959704 9048936 9245652 9348488 9540726 9646844 9655308 9856558 9865206 9954722 10079667 10171129 10180053 10517049 10613352 10905128 10974312 11083608 11142196 11253164 11324556 11497798 11570742 11635884 11685978 11888838 11940021 12007242 12268269 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114937322838 118605535269 123762297672 126452782404 131939885388 142934875837 149149435656 153249763784 158140713692 159143985468 161578555294 164223048834 167793115113 172405984257 179901896616 181693585944 185643446508 189679173606 197909828082 218964065112 223724153484 229874645676 237211070538 242367832941 252905564808 263879770776 285869751674 296864742123 316281427384 318287970936 323157110588 328446097668 335586230226 344811968514 355816605807 371286893016 379358347212 395819656164 428804627511 447448306968 459749291352 474422141076 484735665882 517217952771 571739503348 593729484246 646314221176 656892195336 671172460452 689623937028 711633211614 727103498823 758716694424 791639312328 857609255022 948844282152 969471331764 1034435905542 1067449817421 1143479006696 1187458968492 1286413882533 1342344920904 1379247874056 1423266423228 1454206997646 1715218510044 1858153385881 1938942663528 2068871811084 2134899634842 2181310496469 2374917936984 2572827765066 2846532846456 2908413995292 3430437020088 3716306771762 3859241647599 4137743622168 4269799269684 4362620992938 5145655530132 5574460157643 5816827990584 7432613543524 7718483295198 8539598539368 8725241985876 10291311060264 11148920315286 14865227087048 15436966590396 16723380472929 17450483971752 22297840630572 30873933180792 33446760945858 44595681261144 50170141418787 66893521891716 100340282837574 133787043783432 200680565675148 401361131350296
- Sum of all divisors σ(n): 1302874320900600
- Sum of proper divisors (its aliquot sum) s(n): 901513189550304
- 401361131350296 is an abundant number, because the sum of its proper divisors (901513189550304) is greater than itself. Its abundance is 500152058200008
Bases of 401361131350296
- Binary: 10110110100001001001010111010100100101001000110002
- Hexadecimal: 0x16D092BA92918
- Base-36: 3Y9QRARO60
Squares and roots of 401361131350296
- 401361131350296 squared (4013611313502962) is 161090757758789558612259287616
- 401361131350296 cubed (4013611313502963) is 64655568784144250515480125366452033110734336
-
The
square root of 401361131350296 is 20033999.3848032251 -
The
cube root of 401361131350296 is 73764.1095348855
Scales and comparisons
How big is 401361131350296?- 401,361,131,350,296 seconds is equal to 12,762,042 years, 25 weeks, 1 day, 16 hours, 51 minutes, 36 seconds.
-
To count from 1 to 401,361,131,350,296 would take you about thirty-one million, nine hundred five thousand, one hundred six 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 401361131350296 cubic inches would be around 6147 feet tall.
Recreational maths with 401361131350296
- 401361131350296 backwards is 692053131163104
- The number of decimal digits it has is: 15
- The sum of 401361131350296's digits is 45
- More coming soon!
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"Number 401361131350296 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 401361131350296 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/401361131350296/
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The information we have on file for 401361131350296 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 401361131350296, math, Factors of 401361131350296, curriculum, school, college, exams, university, Prime factorization of 401361131350296, STEM, science, technology, engineering, physics, economics, calculator, four hundred one trillion, three hundred sixty-one billion, one hundred thirty-one million, three hundred fifty thousand, two hundred ninety-six.