13509784128
13,509,784,128 is an even composite number composed of six prime numbers multiplied together.
13509784128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13509784128:
26 × 3 × 17 × 312 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 31 × 31 × 59 × 73)See below for interesting mathematical facts about the number 13509784128 from the Numbermatics database.
Names of 13509784128
- Cardinal: 13509784128 can be written as Thirteen billion, five hundred nine million, seven hundred eighty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3509784128 × 1010
Factors of 13509784128
Divisors of 13509784128
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 59 62 64 68 73 93 96 102 118 124 136 146 177 186 192 204 219 236 248 272 292 354 372 408 438 472 496 527 544 584 708 744 816 876 944 961 992 1003 1054 1088 1168 1241 1416 1488 1581 1632 1752 1829 1888 1922 1984 2006 2108 2263 2336 2482 2832 2883 2976 3009 3162 3264 3504 3658 3723 3776 3844 4012 4216 4307 4526 4672 4964 5487 5664 5766 5952 6018 6324 6789 7008 7316 7446 7688 8024 8432 8614 9052 9928 10974 11328 11532 12036 12648 12921 13578 14016 14632 14892 15376 16048 16337 16864 17228 18104 19856 21948 23064 24072 25296 25842 27156 29264 29784 30752 31093 32096 32674 33728 34456 36208 38471 39712 43896 46128 48144 49011 50592 51684 54312 56699 58528 59568 61504 62186 64192 65348 68912 70153 72416 73219 76942 79424 87792 92256 93279 96288 98022 101184 103368 108624 113398 115413 117056 119136 124372 130696 133517 137824 140306 144832 146438 153884 170097 175584 184512 186558 192576 196044 206736 210459 217248 219657 226796 230826 238272 248744 261392 267034 275648 280612 292876 307768 340194 351168 373116 392088 400551 413472 420918 434496 439314 453592 461652 497488 522784 534068 561224 585752 615536 680388 746232 784176 801102 826944 841836 878628 907184 923304 963883 994976 1045568 1068136 1122448 1171504 1192601 1231072 1360776 1492464 1568352 1602204 1683672 1757256 1814368 1846608 1927766 1989952 2136272 2244896 2269789 2343008 2385202 2462144 2721552 2891649 2984928 3136704 3204408 3367344 3514512 3577803 3628736 3693216 3855532 4139027 4272544 4489792 4539578 4686016 4770404 5443104 5783298 5969856 6408816 6734688 6809367 7029024 7155606 7386432 7711064 8278054 8545088 9079156 9540808 10886208 11566596 12417081 12817632 13469376 13618734 14058048 14311212 15422128 16556108 18158312 19081616 23133192 24834162 25635264 27237468 28622424 30844256 33112216 36316624 38163232 46266384 49668324 54474936 57244848 61688512 66224432 70363459 72633248 76326464 92532768 99336648 108949872 114489696 132448864 140726918 145266496 185065536 198673296 211090377 217899744 228979392 264897728 281453836 397346592 422180754 435799488 562907672 794693184 844361508 1125815344 1688723016 2251630688 3377446032 4503261376 6754892064 13509784128
- Sum of all divisors σ(n): 40315164480
- Sum of proper divisors (its aliquot sum) s(n): 26805380352
- 13509784128 is an abundant number, because the sum of its proper divisors (26805380352) is greater than itself. Its abundance is 13295596224
Bases of 13509784128
- Binary: 11001001010011111011110010010000002
- Hexadecimal: 0x3253EF240
- Base-36: 67FDK5C
Squares and roots of 13509784128
- 13509784128 squared (135097841282) is 182514267185160720384
- 13509784128 cubed (135097841283) is 2465728349951635537372809265152
-
The
square root of 13509784128 is 116231.5969433441 -
The
cube root of 13509784128 is 2381.6766736737
Scales and comparisons
How big is 13509784128?- 13,509,784,128 seconds is equal to 429 years, 29 weeks, 4 days, 5 hours, 48 minutes, 48 seconds.
-
To count from 1 to 13,509,784,128 would take you about eight hundred fifty-nine 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 13509784128 cubic inches would be around 198.5 feet tall.
Recreational maths with 13509784128
- 13509784128 backwards is 82148790531
- 13509784128 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13509784128's digits is 48
- More coming soon!
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