996093648
996,093,648 is an even composite number composed of six prime numbers multiplied together.
996093648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 996093648:
24 × 32 × 11 × 17 × 71 × 521
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 71 × 521)See below for interesting mathematical facts about the number 996093648 from the Numbermatics database.
Names of 996093648
- Cardinal: 996093648 can be written as Nine hundred ninety-six million, ninety-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 9.96093648 × 108
Factors of 996093648
Divisors of 996093648
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 71 72 88 99 102 132 136 142 144 153 176 187 198 204 213 264 272 284 306 374 396 408 426 521 528 561 568 612 639 748 781 792 816 852 1042 1122 1136 1207 1224 1278 1496 1562 1563 1584 1683 1704 2084 2244 2343 2414 2448 2556 2992 3124 3126 3366 3408 3621 4168 4488 4686 4689 4828 5112 5731 6248 6252 6732 7029 7242 8336 8857 8976 9372 9378 9656 10224 10863 11462 12496 12504 13277 13464 14058 14484 17193 17714 18744 18756 19312 21726 22924 25008 26554 26571 26928 28116 28968 34386 35428 36991 37488 37512 39831 43452 45848 51579 53108 53142 56232 57936 68772 70856 73982 75024 79662 79713 86904 91696 97427 103158 106216 106284 110973 112464 119493 137544 141712 147964 159324 159426 173808 194854 206316 212432 212568 221946 238986 275088 292281 295928 318648 318852 332919 389708 406901 412632 425136 443892 477972 584562 591856 628847 637296 637704 665838 779416 813802 825264 876843 887784 955944 1169124 1220703 1257694 1275408 1331676 1558832 1627604 1753686 1775568 1886541 1911888 2338248 2441406 2515388 2663352 3255208 3507372 3662109 3773082 4676496 4882812 5030776 5326704 5659623 6510416 6917317 7014744 7324218 7546164 9765624 10061552 11319246 13834634 14029488 14648436 15092328 19531248 20751951 22638492 27669268 29296872 30184656 41503902 45276984 55338536 58593744 62255853 83007804 90553968 110677072 124511706 166015608 249023412 332031216 498046824 996093648
- Sum of all divisors σ(n): 3271612032
- Sum of proper divisors (its aliquot sum) s(n): 2275518384
- 996093648 is an abundant number, because the sum of its proper divisors (2275518384) is greater than itself. Its abundance is 1279424736
Bases of 996093648
- Binary: 1110110101111100101110110100002
- Hexadecimal: 0x3B5F2ED0
- Base-36: GH1QS0
Squares and roots of 996093648
- 996093648 squared (9960936482) is 992202555585947904
- 996093648 cubed (9960936483) is 988326663148529625233313792
-
The
square root of 996093648 is 31560.9513164607 -
The
cube root of 996093648 is 998.6961834679
Scales and comparisons
How big is 996093648?- 996,093,648 seconds is equal to 31 years, 34 weeks, 6 days, 20 hours, 40 minutes, 48 seconds.
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To count from 1 to 996,093,648 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 996093648 cubic inches would be around 83.2 feet tall.
Recreational maths with 996093648
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