42314976
42,314,976 is an even composite number composed of five prime numbers multiplied together.
42314976 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42314976:
25 × 32 × 11 × 192 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 19 × 37)See below for interesting mathematical facts about the number 42314976 from the Numbermatics database.
Names of 42314976
- Cardinal: 42314976 can be written as Forty-two million, three hundred fourteen thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 4.2314976 × 107
Factors of 42314976
Divisors of 42314976
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 37 38 44 48 57 66 72 74 76 88 96 99 111 114 132 144 148 152 171 176 198 209 222 228 264 288 296 304 333 342 352 361 396 407 418 444 456 528 592 608 627 666 684 703 722 792 814 836 888 912 1056 1083 1184 1221 1254 1332 1368 1406 1444 1584 1628 1672 1776 1824 1881 2109 2166 2442 2508 2664 2736 2812 2888 3168 3249 3256 3344 3552 3663 3762 3971 4218 4332 4884 5016 5328 5472 5624 5776 6327 6498 6512 6688 7326 7524 7733 7942 8436 8664 9768 10032 10656 11248 11552 11913 12654 12996 13024 13357 14652 15048 15466 15884 16872 17328 19536 20064 22496 23199 23826 25308 25992 26714 29304 30096 30932 31768 33744 34656 35739 39072 40071 46398 47652 50616 51984 53428 58608 60192 61864 63536 67488 69597 71478 80142 92796 95304 101232 103968 106856 117216 120213 123728 127072 139194 142956 146927 160284 185592 190608 202464 213712 240426 247456 278388 285912 293854 320568 371184 381216 427424 440781 480852 556776 571824 587708 641136 742368 881562 961704 1113552 1143648 1175416 1282272 1322343 1763124 1923408 2227104 2350832 2644686 3526248 3846816 4701664 5289372 7052496 10578744 14104992 21157488 42314976
- Sum of all divisors σ(n): 142289784
- Sum of proper divisors (its aliquot sum) s(n): 99974808
- 42314976 is an abundant number, because the sum of its proper divisors (99974808) is greater than itself. Its abundance is 57659832
Bases of 42314976
- Binary: 101000010110101100111000002
- Hexadecimal: 0x285ACE0
- Base-36: P6YG0
Squares and roots of 42314976
- 42314976 squared (423149762) is 1790557193880576
- 42314976 cubed (423149763) is 75767384685683920306176
-
The
square root of 42314976 is 6504.9962336653 -
The
cube root of 42314976 is 348.4694417593
Scales and comparisons
How big is 42314976?- 42,314,976 seconds is equal to 1 year, 17 weeks, 6 days, 18 hours, 9 minutes, 36 seconds.
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To count from 1 to 42,314,976 would take you about two 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 42314976 cubic inches would be around 29 feet tall.
Recreational maths with 42314976
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