40813864934521728
40,813,864,934,521,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40813864934521728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
40813864934521728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 40813864934521728:
27 × 3 × 72 × 19 × 23 × 472 × 14992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 23 × 47 × 47 × 1499 × 1499)See below for interesting mathematical facts about the number 40813864934521728 from the Numbermatics database.
Names of 40813864934521728
- Cardinal: 40813864934521728 can be written as Forty quadrillion, eight hundred thirteen trillion, eight hundred sixty-four billion, nine hundred thirty-four million, five hundred twenty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0813864934521728 × 1016
Factors of 40813864934521728
Divisors of 40813864934521728
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 32 38 42 46 47 48 49 56 57 64 69 76 84 92 94 96 98 112 114 128 133 138 141 147 152 161 168 184 188 192 196 224 228 266 276 282 294 304 322 329 336 368 376 384 392 399 437 448 456 483 532 552 564 588 608 644 658 672 736 752 784 798 874 893 896 912 931 966 987 1064 1081 1104 1127 1128 1176 1216 1288 1311 1316 1344 1472 1499 1504 1568 1596 1748 1786 1824 1862 1932 1974 2128 2162 2208 2209 2254 2256 2303 2352 2432 2576 2622 2632 2679 2688 2793 2944 2998 3008 3059 3136 3192 3243 3381 3496 3572 3648 3724 3864 3948 4256 4324 4416 4418 4497 4508 4512 4606 4704 5152 5244 5264 5358 5586 5996 6016 6118 6251 6272 6384 6486 6627 6762 6909 6992 7144 7296 7448 7567 7728 7896 8512 8648 8832 8836 8994 9016 9024 9177 9212 9408 10304 10488 10493 10528 10716 11172 11992 12236 12502 12768 12972 13254 13524 13818 13984 14288 14896 15134 15456 15463 15792 17024 17296 17672 17988 18032 18048 18354 18424 18753 18816 20539 20608 20976 20986 21056 21413 21432 22344 22701 23984 24472 25004 25536 25944 26508 27048 27636 27968 28481 28576 29792 30268 30912 30926 31479 31584 34477 34592 35344 35976 36064 36708 36848 37506 41078 41952 41971 41972 42112 42826 42864 43757 44688 45402 46389 47968 48944 50008 50807 51072 51888 52969 53016 54096 55272 55936 56962 57152 59584 60536 61617 61824 61852 62958 63168 64239 68954 69184 70453 70688 71952 72128 73416 73451 73696 75012 82156 83904 83942 83944 85443 85652 85728 87514 89376 90804 92778 95936 97888 100016 101614 103431 103776 105938 106032 108192 108241 110544 113924 114304 119168 121072 123234 123704 125913 125916 126336 128478 131271 137908 138368 140906 141376 143773 143904 144256 146832 146902 147392 150024 152421 158907 164312 167808 167884 167888 170886 171304 171456 175028 178752 181608 185556 191872 195776 199367 200032 203228 206862 207552 211359 211876 212064 216384 216482 220353 221088 227848 241339 242144 246468 247408 251826 251832 256956 262542 275816 281812 282752 287546 287808 293664 293797 293804 294784 300048 304842 317814 324723 328624 335768 335776 341772 342608 342912 350056 355649 357504 363216 371112 391552 398734 400064 406456 413724 415104 422718 423752 424128 431319 432768 432964 440706 442176 455696 482678 484288 492936 493171 494816 503652 503664 513912 525084 551632 563624 575092 575616 587328 587594 587608 598101 600096 609684 635628 649446 655063 657248 671536 671552 683544 685216 700112 711298 724017 726432 742224 797468 800128 812912 827448 845436 847504 848256 862638 865928 881391 881412 884352 911392 965333 965356 968576 985872 986342 989632 1006411 1007304 1007328 1027824 1050168 1066947 1103264 1127248 1150184 1174656 1175188 1175216 1196202 1200192 1219368 1271256 1298892 1310126 1314496 1338607 1343072 1343104 1367088 1370432 1395569 1400224 1422596 1448034 1452864 1479513 1484448 1594936 1620419 1625824 1654896 1689373 1690872 1695008 1725276 1731856 1762782 1762824 1822784 1930666 1930712 1965189 1971744 1972684 1979264 2012822 2014608 2014656 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102290388307072 104117002383984 106286106600317 108547513123728 110907241669896 121469836114648 124054300712832 126751133337024 134256134653032 138822669845312 144730017498304 147876322226528 153435582460608 179008179537376 182204754171972 208234004767968 212572213200634 217095026247456 221814483339792 242939672229296 253502266674048 268512269306064 277645339690624 289460034996608 295752644453056 306871164921216 318858319800951 358016359074752 364409508343944 416468009535936 425144426401268 434190052494912 443628966679584 485879344458592 537024538612128 591505288906112 637716639601902 716032718149504 728819016687888 832936019071872 850288852802536 868380104989824 887257933359168 971758688917184 1074049077224256 1275433279203804 1457638033375776 1700577705605072 1774515866718336 1943517377834368 2148098154448512 2550866558407608 2915276066751552 3401155411210144 5101733116815216 5830552133503104 6802310822420288 10203466233630432 13604621644840576 20406932467260864 40813864934521728
- Sum of all divisors σ(n): 141625321560950400
- Sum of proper divisors (its aliquot sum) s(n): 100811456626428672
- 40813864934521728 is an abundant number, because the sum of its proper divisors (100811456626428672) is greater than itself. Its abundance is 59997591691906944
Bases of 40813864934521728
- Binary: 100100001111111111111110011100010101010100111011100000002
- Hexadecimal: 0x90FFFE71553B80
- Base-36: B5VB2PJ8Z9C
Squares and roots of 40813864934521728
- 40813864934521728 squared (408138649345217282) is 1665771570893382296604844104105984
- 40813864934521728 cubed (408138649345217283) is 67986575906208590438195896593950917901912062820352
-
The
square root of 40813864934521728 is 202024416.6790779971 -
The
cube root of 40813864934521728 is 344299.1160039313
Scales and comparisons
How big is 40813864934521728?- 40,813,864,934,521,728 seconds is equal to 1,297,754,659 years, 17 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 40,813,864,934,521,728 would take you about three billion, eight hundred ninety-three million, two hundred sixty-three thousand, nine hundred seventy-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 40813864934521728 cubic inches would be around 28691.6 feet tall.
Recreational maths with 40813864934521728
- 40813864934521728 backwards is 82712543946831804
- The number of decimal digits it has is: 17
- The sum of 40813864934521728's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 40813864934521728 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 40813864934521728 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/40813864934521728/
Chicago style:
Numbermatics. 2024. "Number 40813864934521728 - Facts about the integer". https://numbermatics.com/n/40813864934521728/
The information we have on file for 40813864934521728 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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