404985152
404,985,152 is an even composite number composed of six prime numbers multiplied together.
404985152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 404985152:
26 × 11 × 13 × 17 × 19 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 17 × 19 × 137)See below for interesting mathematical facts about the number 404985152 from the Numbermatics database.
Names of 404985152
- Cardinal: 404985152 can be written as Four hundred four million, nine hundred eighty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.04985152 × 108
Factors of 404985152
Divisors of 404985152
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 8 11 13 16 17 19 22 26 32 34 38 44 52 64 68 76 88 104 136 137 143 152 176 187 208 209 221 247 272 274 286 304 323 352 374 416 418 442 494 544 548 572 608 646 704 748 832 836 884 988 1088 1096 1144 1216 1292 1496 1507 1672 1768 1781 1976 2192 2288 2329 2431 2584 2603 2717 2992 3014 3344 3536 3553 3562 3952 4199 4384 4576 4658 4862 5168 5206 5434 5984 6028 6688 7072 7106 7124 7904 8398 8768 9152 9316 9724 10336 10412 10868 11968 12056 13376 14144 14212 14248 15808 16796 18632 19448 19591 20672 20824 21736 24112 25619 28424 28496 28633 30277 33592 33839 37264 38896 39182 41648 43472 44251 46189 48224 51238 56848 56992 57266 60554 67184 67678 74528 77792 78364 83296 86944 88502 92378 96448 102476 113696 113984 114532 121108 134368 135356 149056 155584 156728 166592 173888 177004 184756 204952 227392 229064 242216 268736 270712 313456 333047 354008 369512 372229 409904 458128 484432 486761 541424 575263 626912 666094 708016 739024 744458 819808 916256 968864 973522 1082848 1150526 1253824 1332188 1416032 1478048 1488916 1639616 1832512 1937728 1947044 2165696 2301052 2664376 2832064 2956096 2977832 3894088 4602104 5328752 5955664 6327893 7788176 9204208 10657504 11911328 12655786 15576352 18408416 21315008 23822656 25311572 31152704 36816832 50623144 101246288 202492576 404985152
- Sum of all divisors σ(n): 1059972480
- Sum of proper divisors (its aliquot sum) s(n): 654987328
- 404985152 is an abundant number, because the sum of its proper divisors (654987328) is greater than itself. Its abundance is 250002176
Bases of 404985152
- Binary: 110000010001110010101010000002
- Hexadecimal: 0x18239540
- Base-36: 6P48JK
Squares and roots of 404985152
- 404985152 squared (4049851522) is 164012973340463104
- 404985152 cubed (4049851523) is 66422818938259397923831808
-
The
square root of 404985152 is 20124.2428925909 -
The
cube root of 404985152 is 739.8545806289
Scales and comparisons
How big is 404985152?- 404,985,152 seconds is equal to 12 years, 45 weeks, 4 days, 7 hours, 52 minutes, 32 seconds.
-
To count from 1 to 404,985,152 would take you about nineteen 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 404985152 cubic inches would be around 61.7 feet tall.
Recreational maths with 404985152
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