993364992
993,364,992 is an even composite number composed of five prime numbers multiplied together.
993364992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 993364992:
210 × 33 × 19 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 31 × 61)See below for interesting mathematical facts about the number 993364992 from the Numbermatics database.
Names of 993364992
- Cardinal: 993364992 can be written as Nine hundred ninety-three million, three hundred sixty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.93364992 × 108
Factors of 993364992
Divisors of 993364992
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 61 62 64 72 76 93 96 108 114 122 124 128 144 152 171 183 186 192 216 228 244 248 256 279 288 304 342 366 372 384 432 456 488 496 512 513 549 558 576 589 608 684 732 744 768 837 864 912 976 992 1024 1026 1098 1116 1152 1159 1178 1216 1368 1464 1488 1536 1647 1674 1728 1767 1824 1891 1952 1984 2052 2196 2232 2304 2318 2356 2432 2736 2928 2976 3072 3294 3348 3456 3477 3534 3648 3782 3904 3968 4104 4392 4464 4608 4636 4712 4864 5301 5472 5673 5856 5952 6588 6696 6912 6954 7068 7296 7564 7808 7936 8208 8784 8928 9216 9272 9424 9728 10431 10602 10944 11346 11712 11904 13176 13392 13824 13908 14136 14592 15128 15616 15872 15903 16416 17019 17568 17856 18544 18848 19456 20862 21204 21888 22692 23424 23808 26352 26784 27648 27816 28272 29184 30256 31232 31293 31744 31806 32832 34038 35136 35712 35929 37088 37696 41724 42408 43776 45384 46848 47616 51057 52704 53568 55632 56544 58368 60512 62464 62586 63612 65664 68076 70272 71424 71858 74176 75392 83448 84816 87552 90768 93696 95232 102114 105408 107136 107787 111264 113088 121024 125172 127224 131328 136152 140544 142848 143716 148352 150784 166896 169632 175104 181536 187392 204228 210816 214272 215574 222528 226176 242048 250344 254448 262656 272304 281088 285696 287432 296704 301568 323361 333792 339264 363072 408456 421632 428544 431148 445056 452352 484096 500688 508896 525312 544608 562176 574864 593408 603136 646722 667584 678528 726144 816912 843264 857088 862296 890112 904704 968192 970083 1001376 1017792 1089216 1149728 1186816 1293444 1335168 1357056 1452288 1633824 1686528 1724592 1780224 1809408 1936384 1940166 2002752 2035584 2178432 2299456 2586888 2670336 2714112 2904576 3267648 3449184 3560448 3880332 4005504 4071168 4356864 4598912 5173776 5340672 5428224 5809152 6535296 6898368 7760664 8011008 8142336 8713728 9197824 10347552 10681344 13070592 13796736 15521328 16022016 16284672 17427456 18395648 20695104 26141184 27593472 31042656 32044032 36791296 41390208 52282368 55186944 62085312 82780416 110373888 124170624 165560832 248341248 331121664 496682496 993364992
- Sum of all divisors σ(n): 3248998400
- Sum of proper divisors (its aliquot sum) s(n): 2255633408
- 993364992 is an abundant number, because the sum of its proper divisors (2255633408) is greater than itself. Its abundance is 1262268416
Bases of 993364992
- Binary: 1110110011010110001100000000002
- Hexadecimal: 0x3B358C00
- Base-36: GFF9C0
Squares and roots of 993364992
- 993364992 squared (9933649922) is 986774007331160064
- 993364992 cubed (9933649923) is 980226753898325758326079488
-
The
square root of 993364992 is 31517.6933166119 -
The
cube root of 993364992 is 997.7834210747
Scales and comparisons
How big is 993364992?- 993,364,992 seconds is equal to 31 years, 30 weeks, 3 days, 6 hours, 43 minutes, 12 seconds.
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To count from 1 to 993,364,992 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 993364992 cubic inches would be around 83.1 feet tall.
Recreational maths with 993364992
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