106005312
106,005,312 is an even composite number composed of five prime numbers multiplied together.
106005312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 106005312:
26 × 32 × 7 × 61 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 61 × 431)See below for interesting mathematical facts about the number 106005312 from the Numbermatics database.
Names of 106005312
- Cardinal: 106005312 can be written as One hundred six million, five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.06005312 × 108
Factors of 106005312
Divisors of 106005312
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 64 72 84 96 112 122 126 144 168 183 192 224 244 252 288 336 366 427 431 448 488 504 549 576 672 732 854 862 976 1008 1098 1281 1293 1344 1464 1708 1724 1952 2016 2196 2562 2586 2928 3017 3416 3448 3843 3879 3904 4032 4392 5124 5172 5856 6034 6832 6896 7686 7758 8784 9051 10248 10344 11712 12068 13664 13792 15372 15516 17568 18102 20496 20688 24136 26291 27153 27328 27584 30744 31032 35136 36204 40992 41376 48272 52582 54306 61488 62064 72408 78873 81984 82752 96544 105164 108612 122976 124128 144816 157746 184037 193088 210328 217224 236619 245952 248256 289632 315492 368074 420656 434448 473238 552111 579264 630984 736148 841312 868896 946476 1104222 1261968 1472296 1656333 1682624 1737792 1892952 2208444 2523936 2944592 3312666 3785904 4416888 5047872 5889184 6625332 7571808 8833776 11778368 13250664 15143616 17667552 26501328 35335104 53002656 106005312
- Sum of all divisors σ(n): 353763072
- Sum of proper divisors (its aliquot sum) s(n): 247757760
- 106005312 is an abundant number, because the sum of its proper divisors (247757760) is greater than itself. Its abundance is 141752448
Bases of 106005312
- Binary: 1100101000110000011010000002
- Hexadecimal: 0x6518340
- Base-36: 1R4280
Squares and roots of 106005312
- 106005312 squared (1060053122) is 11237126172217344
- 106005312 cubed (1060053123) is 1191195065869265282531328
-
The
square root of 106005312 is 10295.8881112801 -
The
cube root of 106005312 is 473.2702545491
Scales and comparisons
How big is 106005312?- 106,005,312 seconds is equal to 3 years, 19 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
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To count from 1 to 106,005,312 would take you about five 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 106005312 cubic inches would be around 39.4 feet tall.
Recreational maths with 106005312
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