998993952
998,993,952 is an even composite number composed of five prime numbers multiplied together.
998993952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 998993952:
25 × 33 × 11 × 257 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 257 × 409)See below for interesting mathematical facts about the number 998993952 from the Numbermatics database.
Names of 998993952
- Cardinal: 998993952 can be written as Nine hundred ninety-eight million, nine hundred ninety-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.98993952 × 108
Factors of 998993952
Divisors of 998993952
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 257 264 288 297 352 396 409 432 514 528 594 771 792 818 864 1028 1056 1188 1227 1542 1584 1636 2056 2313 2376 2454 2827 3084 3168 3272 3681 4112 4499 4626 4752 4908 5654 6168 6544 6939 7362 8224 8481 8998 9252 9504 9816 11043 11308 12336 13088 13497 13878 14724 16962 17996 18504 19632 22086 22616 24672 25443 26994 27756 29448 33924 35992 37008 39264 40491 44172 45232 50886 53988 55512 58896 67848 71984 74016 76329 80982 88344 90464 101772 105113 107976 111024 117792 121473 135696 143968 152658 161964 176688 203544 210226 215952 222048 242946 271392 305316 315339 323928 353376 407088 420452 431904 485892 610632 630678 647856 814176 840904 946017 971784 1156243 1221264 1261356 1295712 1681808 1892034 1943568 2312486 2442528 2522712 2838051 3363616 3468729 3784068 3887136 4624972 5045424 5676102 6937458 7568136 9249944 10090848 10406187 11352204 13874916 15136272 18499888 20812374 22704408 27749832 30272544 31218561 36999776 41624748 45408816 55499664 62437122 83249496 90817632 110999328 124874244 166498992 249748488 332997984 499496976 998993952
- Sum of all divisors σ(n): 3198787200
- Sum of proper divisors (its aliquot sum) s(n): 2199793248
- 998993952 is an abundant number, because the sum of its proper divisors (2199793248) is greater than itself. Its abundance is 1200799296
Bases of 998993952
- Binary: 1110111000101101110000001000002
- Hexadecimal: 0x3B8B7020
- Base-36: GIRWO0
Squares and roots of 998993952
- 998993952 squared (9989939522) is 997988916132578304
- 998993952 cubed (9989939523) is 996984891379480955862417408
-
The
square root of 998993952 is 31606.8655832873 -
The
cube root of 998993952 is 999.6645381445
Scales and comparisons
How big is 998993952?- 998,993,952 seconds is equal to 31 years, 39 weeks, 5 days, 10 hours, 19 minutes, 12 seconds.
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To count from 1 to 998,993,952 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 998993952 cubic inches would be around 83.3 feet tall.
Recreational maths with 998993952
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Keywords: Divisors of 998993952, math, Factors of 998993952, curriculum, school, college, exams, university, Prime factorization of 998993952, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-eight million, nine hundred ninety-three thousand, nine hundred fifty-two.