428431045938896
428,431,045,938,896 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428431045938896 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
428431045938896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 428431045938896:
24 × 7 × 112 × 133 × 23 × 372 × 457
(2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 13 × 13 × 23 × 37 × 37 × 457)See below for interesting mathematical facts about the number 428431045938896 from the Numbermatics database.
Names of 428431045938896
- Cardinal: 428431045938896 can be written as Four hundred twenty-eight trillion, four hundred thirty-one billion, forty-five million, nine hundred thirty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 4.28431045938896 × 1014
Factors of 428431045938896
Divisors of 428431045938896
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 23 26 28 37 44 46 52 56 74 77 88 91 92 104 112 121 143 148 154 161 169 176 182 184 208 242 253 259 286 296 299 308 322 338 364 368 407 457 481 484 506 518 572 592 598 616 644 676 728 814 847 851 914 962 968 1001 1012 1036 1144 1183 1196 1232 1288 1352 1369 1456 1573 1628 1694 1702 1771 1828 1859 1924 1936 2002 2024 2072 2093 2197 2288 2366 2392 2576 2704 2738 2783 2849 3146 3199 3256 3289 3367 3388 3404 3542 3656 3718 3848 3887 4004 4048 4144 4186 4394 4477 4732 4784 5027 5291 5476 5566 5698 5941 5957 6253 6292 6398 6512 6578 6734 6776 6808 7084 7312 7436 7696 7774 8008 8372 8788 8954 9361 9464 9583 10054 10511 10582 10952 11011 11063 11132 11396 11882 11914 12506 12584 12796 13013 13156 13468 13552 13616 14168 14872 15059 15379 15548 16016 16744 16909 17576 17797 17908 18722 18928 19166 19481 20108 20449 21022 21164 21904 22022 22126 22264 22792 23023 23764 23828 24167 25012 25168 25592 26026 26312 26936 27209 28336 29744 30118 30758 31096 31339 31487 33488 33818 35152 35189 35594 35816 36179 37037 37444 38332 38962 40216 40898 41587 42044 42328 42757 43771 44044 44252 44528 45584 46046 47528 47656 48334 50024 50531 51184 52052 52624 53872 54418 55297 58201 60236 61516 62192 62678 62974 65351 65527 67636 68783 70378 71188 71632 72358 73577 74074 74888 76664 77233 77441 77924 80432 81289 81796 83174 84088 84656 85514 87542 88088 88504 92092 95056 95312 96668 100048 101062 102971 104104 105413 108836 110594 115621 116402 118363 120472 121693 123032 124579 125356 125948 130702 131054 135272 136643 137566 140756 142376 143143 143819 144716 147154 148148 149776 153328 154466 154882 155848 162578 163592 165649 166348 168176 169169 171028 175084 176176 177008 184184 185999 193336 195767 202124 205942 208208 210826 217672 219817 220409 221188 231242 231361 232804 236726 240944 243386 246064 249158 250712 251896 253253 261404 262108 265837 270544 273286 275132 281512 284752 286286 287638 289432 294308 296296 299299 308932 309764 311696 325156 327184 331298 332696 338338 342056 346357 350168 353717 368368 371998 386672 387079 388907 391534 404248 407407 409331 411884 421652 435344 439634 440818 442376 457457 462484 462722 465608 470327 473452 481481 486772 498316 501424 503792 506506 522808 524216 531674 540631 546572 550264 555841 563024 569023 572572 575276 578864 588616 592592 598598 617864 619528 625633 650312 662596 665392 676676 684112 692714 700336 707434 718861 720797 743996 756613 774158 777814 783068 808496 809347 814814 818662 823768 843304 849563 851851 879268 881636 884752 894179 914914 924968 925444 931216 940654 946904 956501 962962 973544 996632 1004029 1006733 1013012 1045616 1048432 1063348 1081262 1093144 1100528 1111682 1138046 1145144 1150552 1159543 1177232 1197196 1235728 1239056 1251266 1271831 1300624 1301993 1325192 1338623 1353352 1370369 1385428 1414868 1437722 1441594 1487992 1503073 1513226 1538719 1548316 1555628 1566136 1582009 1618694 1619527 1629628 1637324 1647536 1686608 1699126 1703702 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- Sum of all divisors σ(n): 1214090598228480
- Sum of proper divisors (its aliquot sum) s(n): 785659552289584
- 428431045938896 is an abundant number, because the sum of its proper divisors (785659552289584) is greater than itself. Its abundance is 357228506350688
Bases of 428431045938896
- Binary: 11000010110100111111000000100110111001110110100002
- Hexadecimal: 0x185A7E04DCED0
- Base-36: 47V6I6ZNBK
Squares and roots of 428431045938896
- 428431045938896 squared (4284310459388962) is 183553161124296414734165698816
- 428431045938896 cubed (4284310459388963) is 78639872805873016621269414155143380675547136
-
The
square root of 428431045938896 is 20698575.9398779895 -
The
cube root of 428431045938896 is 75386.5111262963
Scales and comparisons
How big is 428431045938896?- 428,431,045,938,896 seconds is equal to 13,622,782 years, 1 week, 6 days, 7 hours, 54 minutes, 56 seconds.
-
To count from 1 to 428,431,045,938,896 would take you about thirty-four million, fifty-six thousand, nine hundred fifty-five 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 428431045938896 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428431045938896
- 428431045938896 backwards is 698839540134824
- 428431045938896 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428431045938896's digits is 74
- More coming soon!
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"Number 428431045938896 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 428431045938896 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/428431045938896/
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The information we have on file for 428431045938896 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 428431045938896, math, Factors of 428431045938896, curriculum, school, college, exams, university, Prime factorization of 428431045938896, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred thirty-one billion, forty-five million, nine hundred thirty-eight thousand, eight hundred ninety-six.