813315132
813,315,132 is an even composite number composed of six prime numbers multiplied together.
813315132 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 813315132:
22 × 32 × 72 × 31 × 107 × 139
(2 × 2 × 3 × 3 × 7 × 7 × 31 × 107 × 139)See below for interesting mathematical facts about the number 813315132 from the Numbermatics database.
Names of 813315132
- Cardinal: 813315132 can be written as Eight hundred thirteen million, three hundred fifteen thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 8.13315132 × 108
Factors of 813315132
Divisors of 813315132
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 107 124 126 139 147 186 196 214 217 252 278 279 294 321 372 417 428 434 441 556 558 588 642 651 749 834 868 882 963 973 1116 1251 1284 1302 1498 1519 1668 1764 1926 1946 1953 2247 2502 2604 2919 2996 3038 3317 3852 3892 3906 4309 4494 4557 5004 5243 5838 6076 6634 6741 6811 7812 8618 8757 8988 9114 9951 10486 11676 12927 13268 13482 13622 13671 14873 15729 17236 17514 18228 19902 20433 20972 23219 25854 26964 27244 27342 29746 29853 30163 31458 35028 38781 39804 40866 44619 46438 47187 51708 54684 59492 59706 60326 61299 62916 69657 77562 81732 89238 90489 92876 94374 104111 119412 120652 122598 133857 139314 155124 162533 178476 180978 188748 208222 208971 211141 245196 267714 271467 278628 312333 325066 361956 416444 417942 422282 461063 487599 535428 542934 624666 633423 650132 728777 835884 844564 922126 936999 975198 1085868 1249332 1266846 1383189 1457554 1462797 1844252 1873998 1900269 1950396 2186331 2533692 2766378 2915108 2925594 3227441 3747996 3800538 4149567 4372662 5532756 5851188 6454882 6558993 7601076 8299134 8745324 9682323 12909764 13117986 16598268 19364646 22592087 26235972 29046969 38729292 45184174 58093938 67776261 90368348 116187876 135552522 203328783 271105044 406657566 813315132
- Sum of all divisors σ(n): 2509678080
- Sum of proper divisors (its aliquot sum) s(n): 1696362948
- 813315132 is an abundant number, because the sum of its proper divisors (1696362948) is greater than itself. Its abundance is 883047816
Bases of 813315132
- Binary: 1100000111101000110100001111002
- Hexadecimal: 0x307A343C
- Base-36: DG85Z0
Squares and roots of 813315132
- 813315132 squared (8133151322) is 661481503940177424
- 813315132 cubed (8133151323) is 537992916692663921703979968
-
The
square root of 813315132 is 28518.6804042543 -
The
cube root of 813315132 is 933.4397350917
Scales and comparisons
How big is 813315132?- 813,315,132 seconds is equal to 25 years, 44 weeks, 5 days, 8 hours, 52 minutes, 12 seconds.
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To count from 1 to 813,315,132 would take you about thirty-eight 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 813315132 cubic inches would be around 77.8 feet tall.
Recreational maths with 813315132
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