13134096864
13,134,096,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 13134096864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
13134096864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13134096864:
25 × 34 × 7 × 19 × 31 × 1229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 19 × 31 × 1229)See below for interesting mathematical facts about the number 13134096864 from the Numbermatics database.
Names of 13134096864
- Cardinal: 13134096864 can be written as Thirteen billion, one hundred thirty-four million, ninety-six thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3134096864 × 1010
Factors of 13134096864
Divisors of 13134096864
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 38 42 48 54 56 57 62 63 72 76 81 84 93 96 108 112 114 124 126 133 144 152 162 168 171 186 189 216 217 224 228 248 252 266 279 288 304 324 336 342 372 378 399 432 434 456 496 504 513 532 558 567 589 608 648 651 672 684 744 756 798 837 864 868 912 992 1008 1026 1064 1116 1134 1178 1197 1229 1296 1302 1368 1488 1512 1539 1596 1674 1736 1767 1824 1953 2016 2052 2128 2232 2268 2356 2394 2458 2511 2592 2604 2736 2976 3024 3078 3192 3348 3472 3534 3591 3687 3906 4104 4123 4256 4464 4536 4712 4788 4916 5022 5208 5301 5472 5859 6048 6156 6384 6696 6944 7068 7182 7374 7812 8208 8246 8603 8928 9072 9424 9576 9832 10044 10416 10602 10773 11061 11718 12312 12369 12768 13392 14136 14364 14748 15624 15903 16416 16492 17206 17577 18144 18848 19152 19664 20088 20832 21204 21546 22122 23351 23436 24624 24738 25809 26784 28272 28728 29496 31248 31806 32984 33183 34412 35154 37107 38099 38304 39328 40176 42408 43092 44244 46702 46872 47709 49248 49476 51618 56544 57456 58992 62496 63612 65968 66366 68824 70053 70308 74214 76198 77427 80352 84816 86184 88488 93404 93744 95418 98952 99549 103236 111321 114297 114912 117984 127224 131936 132732 137648 140106 140616 148428 152396 154854 163457 169632 172368 176976 186808 187488 190836 197904 199098 206472 210159 222642 228594 232281 254448 265464 266693 275296 280212 281232 296856 304792 309708 326914 333963 342891 344736 353952 373616 381672 395808 398196 412944 420318 445284 457188 464562 490371 508896 530928 533386 560424 562464 593712 609584 619416 630477 653828 667926 685782 696843 723881 747232 763344 796392 800079 825888 840636 890568 914376 929124 980742 1028673 1061856 1066772 1120848 1187424 1219168 1238832 1260954 1307656 1335852 1371564 1393686 1447762 1471113 1526688 1592784 1600158 1681272 1781136 1828752 1858248 1891431 1961484 2057346 2133544 2171643 2241696 2400237 2477664 2521908 2615312 2671704 2743128 2787372 2895524 2942226 3086019 3185568 3200316 3362544 3562272 3657504 3716496 3782862 3922968 4114692 4267088 4343286 4413339 4800474 5043816 5067167 5230624 5343408 5486256 5574744 5791048 5884452 6172038 6400632 6514929 6725088 7200711 7432992 7565724 7845936 8229384 8534176 8686572 8826678 9600948 10087632 10134334 10686816 10972512 11149488 11582096 11768904 12344076 12801264 13029858 13240017 14401422 15131448 15201501 15691872 16458768 17373144 17653356 19201896 19544787 20175264 20268668 21602133 22298976 23164192 23537808 24688152 25602528 26059716 26480034 28802844 30262896 30403002 32917536 34746288 35306712 38403792 39089574 40537336 43204266 45604503 47075616 49376304 52119432 52960068 57605688 58634361 60525792 60806004 69492576 70613424 76807584 78179148 81074672 86408532 91209006 98752608 104238864 105920136 115211376 117268722 121612008 136813509 141226848 156358296 162149344 172817064 182418012 208477728 211840272 230422752 234537444 243224016 273627018 312716592 345634128 364836024 410440527 423680544 469074888 486448032 547254036 625433184 691268256 729672048 820881054 938149776 1094508072 1459344096 1641762108 1876299552 2189016144 3283524216 4378032288 6567048432 13134096864
- Sum of all divisors σ(n): 48006604800
- Sum of proper divisors (its aliquot sum) s(n): 34872507936
- 13134096864 is an abundant number, because the sum of its proper divisors (34872507936) is greater than itself. Its abundance is 21738411072
Bases of 13134096864
- Binary: 11000011101101101001101001111000002
- Hexadecimal: 0x30EDA69E0
- Base-36: 617PA00
Squares and roots of 13134096864
- 13134096864 squared (131340968642) is 172504500432934634496
- 13134096864 cubed (131340968643) is 2265690818162093425250899820544
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The
square root of 13134096864 is 114604.0874663727 -
The
cube root of 13134096864 is 2359.3918321817
Scales and comparisons
How big is 13134096864?- 13,134,096,864 seconds is equal to 417 years, 32 weeks, 3 days, 14 minutes, 24 seconds.
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To count from 1 to 13,134,096,864 would take you about eight hundred thirty-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 13134096864 cubic inches would be around 196.6 feet tall.
Recreational maths with 13134096864
- 13134096864 backwards is 46869043131
- The number of decimal digits it has is: 11
- The sum of 13134096864's digits is 45
- More coming soon!
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