100132128
100,132,128 is an even composite number composed of five prime numbers multiplied together.
100132128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 100132128:
25 × 32 × 19 × 29 × 631
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 29 × 631)See below for interesting mathematical facts about the number 100132128 from the Numbermatics database.
Names of 100132128
- Cardinal: 100132128 can be written as One hundred million, one hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.00132128 × 108
Factors of 100132128
Divisors of 100132128
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 228 232 261 288 304 342 348 456 464 522 551 608 631 684 696 912 928 1044 1102 1262 1368 1392 1653 1824 1893 2088 2204 2524 2736 2784 3306 3786 4176 4408 4959 5048 5472 5679 6612 7572 8352 8816 9918 10096 11358 11989 13224 15144 17632 18299 19836 20192 22716 23978 26448 30288 35967 36598 39672 45432 47956 52896 54897 60576 71934 73196 79344 90864 95912 107901 109794 143868 146392 158688 164691 181728 191824 215802 219588 287736 292784 329382 347681 383648 431604 439176 575472 585568 658764 695362 863208 878352 1043043 1150944 1317528 1390724 1726416 1756704 2086086 2635056 2781448 3129129 3452832 4172172 5270112 5562896 6258258 8344344 11125792 12516516 16688688 25033032 33377376 50066064 100132128
- Sum of all divisors σ(n): 310564800
- Sum of proper divisors (its aliquot sum) s(n): 210432672
- 100132128 is an abundant number, because the sum of its proper divisors (210432672) is greater than itself. Its abundance is 110300544
Bases of 100132128
- Binary: 1011111011111100101001000002
- Hexadecimal: 0x5F7E520
- Base-36: 1NM6G0
Squares and roots of 100132128
- 100132128 squared (1001321282) is 10026443057808384
- 100132128 cubed (1001321283) is 1003969079649180506161152
-
The
square root of 100132128 is 10006.6042192145 -
The
cube root of 100132128 is 464.3632213415
Scales and comparisons
How big is 100132128?- 100,132,128 seconds is equal to 3 years, 9 weeks, 3 days, 22 hours, 28 minutes, 48 seconds.
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To count from 1 to 100,132,128 would take you about four 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 100132128 cubic inches would be around 38.7 feet tall.
Recreational maths with 100132128
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