993796128
993,796,128 is an even composite number composed of five prime numbers multiplied together.
993796128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 993796128:
25 × 36 × 13 × 29 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 29 × 113)See below for interesting mathematical facts about the number 993796128 from the Numbermatics database.
Names of 993796128
- Cardinal: 993796128 can be written as Nine hundred ninety-three million, seven hundred ninety-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.93796128 × 108
Factors of 993796128
Divisors of 993796128
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 72 78 81 87 96 104 108 113 116 117 144 156 162 174 208 216 226 232 234 243 261 288 312 324 339 348 351 377 416 432 452 464 468 486 522 624 648 678 696 702 729 754 783 864 904 928 936 972 1017 1044 1053 1131 1248 1296 1356 1392 1404 1458 1469 1508 1566 1808 1872 1944 2034 2088 2106 2262 2349 2592 2712 2784 2808 2916 2938 3016 3051 3132 3159 3277 3393 3616 3744 3888 4068 4176 4212 4407 4524 4698 5424 5616 5832 5876 6032 6102 6264 6318 6554 6786 7047 7776 8136 8352 8424 8814 9048 9153 9396 9477 9831 10179 10848 11232 11664 11752 12064 12204 12528 12636 13108 13221 13572 14094 16272 16848 17628 18096 18306 18792 18954 19662 20358 21141 23328 23504 24408 25056 25272 26216 26442 27144 27459 28188 29493 30537 32544 33696 35256 36192 36612 37584 37908 39324 39663 40716 42282 42601 47008 48816 50544 52432 52884 54288 54918 56376 58986 61074 70512 73224 75168 75816 78648 79326 81432 82377 84564 85202 88479 91611 97632 101088 104864 105768 108576 109836 112752 117972 118989 122148 127803 141024 146448 151632 157296 158652 162864 164754 169128 170404 176958 183222 211536 219672 225504 235944 237978 244296 255606 265437 274833 292896 303264 314592 317304 325728 329508 338256 340808 353916 356967 366444 383409 423072 439344 471888 475956 488592 511212 530874 549666 634608 659016 676512 681616 707832 713934 732888 766818 796311 878688 943776 951912 977184 1022424 1061748 1070901 1099332 1150227 1269216 1318032 1363232 1415664 1427868 1465776 1533636 1592622 1903824 2044848 2123496 2141802 2198664 2300454 2388933 2636064 2831328 2855736 2931552 3067272 3185244 3450681 3807648 4089696 4246992 4283604 4397328 4600908 4777866 5711472 6134544 6370488 6901362 8493984 8567208 8794656 9201816 9555732 10352043 11422944 12269088 12740976 13802724 17134416 18403632 19111464 20704086 25481952 27605448 31056129 34268832 36807264 38222928 41408172 55210896 62112258 76445856 82816344 110421792 124224516 165632688 248449032 331265376 496898064 993796128
- Sum of all divisors σ(n): 3296968920
- Sum of proper divisors (its aliquot sum) s(n): 2303172792
- 993796128 is an abundant number, because the sum of its proper divisors (2303172792) is greater than itself. Its abundance is 1309376664
Bases of 993796128
- Binary: 1110110011110000100000001000002
- Hexadecimal: 0x3B3C2020
- Base-36: GFOI00
Squares and roots of 993796128
- 993796128 squared (9937961282) is 987630744027792384
- 993796128 cubed (9937961283) is 981503609308579195607089152
-
The
square root of 993796128 is 31524.5321614771 -
The
cube root of 993796128 is 997.9277514187
Scales and comparisons
How big is 993796128?- 993,796,128 seconds is equal to 31 years, 31 weeks, 1 day, 6 hours, 28 minutes, 48 seconds.
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To count from 1 to 993,796,128 would take you about forty-seven 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 993796128 cubic inches would be around 83.2 feet tall.
Recreational maths with 993796128
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