13400893968
13,400,893,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13400893968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
13400893968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13400893968:
24 × 3 × 72 × 11 × 29 × 53 × 337
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 29 × 53 × 337)See below for interesting mathematical facts about the number 13400893968 from the Numbermatics database.
Names of 13400893968
- Cardinal: 13400893968 can be written as Thirteen billion, four hundred million, eight hundred ninety-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3400893968 × 1010
Factors of 13400893968
Divisors of 13400893968
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 49 53 56 58 66 77 84 87 88 98 106 112 116 132 147 154 159 168 174 176 196 203 212 231 232 264 294 308 318 319 336 337 348 371 392 406 424 462 464 528 539 583 588 609 616 636 638 674 696 742 784 812 848 924 957 1011 1078 1113 1166 1176 1218 1232 1272 1276 1348 1392 1421 1484 1537 1617 1624 1749 1848 1914 2022 2156 2226 2233 2332 2352 2359 2436 2544 2552 2597 2696 2842 2968 3074 3234 3248 3498 3696 3707 3828 4044 4081 4263 4312 4452 4466 4611 4664 4718 4872 5104 5194 5392 5684 5936 6148 6468 6699 6996 7077 7414 7656 7791 8088 8162 8526 8624 8904 8932 9222 9328 9436 9744 9773 10388 10759 11121 11368 12243 12296 12936 13398 13992 14154 14828 15312 15582 15631 16176 16324 16513 16907 17052 17808 17861 17864 18444 18872 19546 20776 21518 22242 22736 24486 24592 25872 25949 26796 27984 28308 28567 29319 29656 31164 31262 32277 32648 33026 33814 34104 35722 35728 36888 37744 39092 41552 43036 44484 46893 48972 49539 50721 51898 53583 53592 56616 57134 58638 59312 62328 62524 64554 65296 66052 67628 68208 68411 71444 73776 75313 77847 78184 85701 86072 88968 93786 97944 99078 101442 103796 107166 107184 107503 113232 114268 117276 118349 124656 125027 125048 129108 132104 135256 136822 142888 150626 155694 156368 171402 172144 177936 181643 187572 195888 196471 198156 202884 205233 207592 214332 215006 225939 228536 234552 236698 250054 250096 258216 264208 270512 273644 285776 301252 311388 322509 342804 355047 363286 375081 375144 392942 396312 405768 410466 415184 428664 430012 451878 457072 469104 473396 478877 500108 516432 517969 544929 547288 589413 602504 622776 645018 685608 710094 726572 750162 750288 752521 785884 792624 811536 820932 828443 857328 860024 875189 903756 946792 957754 1000216 1035938 1089858 1094576 1178826 1205008 1245552 1290036 1371216 1375297 1420188 1436631 1453144 1500324 1505042 1553907 1571768 1641864 1656886 1720048 1750378 1807512 1893584 1915508 2000432 2071876 2179716 2257563 2357652 2485329 2580072 2625567 2750594 2840376 2873262 2906288 3000648 3010084 3107814 3143536 3283728 3313772 3500756 3615024 3625783 3831016 4125891 4143752 4359432 4515126 4715304 4970658 5160144 5251134 5267647 5501188 5680752 5697659 5746524 6001296 6020168 6215628 6627544 7001512 7251566 7662032 8251782 8287504 8718864 9030252 9430608 9627079 9941316 10502268 10535294 10877349 11002376 11395318 11493048 12040336 12431256 13255088 14003024 14503132 15802941 16503564 17092977 18060504 19254158 19882632 21004536 21070588 21754698 22004752 22790636 22986096 24862512 25380481 28881237 29006264 31605882 33007128 34185954 36121008 38508316 39765264 39883613 42009072 42141176 43509396 45581272 50760962 57762474 58012528 63211764 66014256 68371908 76141443 77016632 79767226 84282352 87018792 91162544 101521924 115524948 119650839 126423528 136743816 152282886 154033264 159534452 174037584 203043848 231049896 239301678 252847056 273487632 279185291 304565772 319068904 406087696 462099792 478603356 558370582 609131544 638137808 837555873 957206712 1116741164 1218263088 1675111746 1914413424 2233482328 3350223492 4466964656 6700446984 13400893968
- Sum of all divisors σ(n): 46441848960
- Sum of proper divisors (its aliquot sum) s(n): 33040954992
- 13400893968 is an abundant number, because the sum of its proper divisors (33040954992) is greater than itself. Its abundance is 19640061024
Bases of 13400893968
- Binary: 11000111101100000101101010000100002
- Hexadecimal: 0x31EC16A10
- Base-36: 65MJNYO
Squares and roots of 13400893968
- 13400893968 squared (134008939682) is 179583959141578785024
- 13400893968 cubed (134008939683) is 2406585594809941598224890335232
-
The
square root of 13400893968 is 115762.2303171461 -
The
cube root of 13400893968 is 2375.2605567803
Scales and comparisons
How big is 13400893968?- 13,400,893,968 seconds is equal to 426 years, 5 weeks, 3 days, 22 hours, 32 minutes, 48 seconds.
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To count from 1 to 13,400,893,968 would take you about eight hundred fifty-two 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 13400893968 cubic inches would be around 197.9 feet tall.
Recreational maths with 13400893968
- 13400893968 backwards is 86939800431
- The number of decimal digits it has is: 11
- The sum of 13400893968's digits is 51
- More coming soon!
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