138125988
138,125,988 is an even composite number composed of six prime numbers multiplied together.
138125988 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138125988:
22 × 32 × 7 × 11 × 13 × 3833
(2 × 2 × 3 × 3 × 7 × 11 × 13 × 3833)See below for interesting mathematical facts about the number 138125988 from the Numbermatics database.
Names of 138125988
- Cardinal: 138125988 can be written as One hundred thirty-eight million, one hundred twenty-five thousand, nine hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38125988 × 108
Factors of 138125988
Divisors of 138125988
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 3833 4004 5148 6006 7666 9009 11499 12012 15332 18018 22998 26831 34497 36036 42163 45996 49829 53662 68994 80493 84326 99658 107324 126489 137988 149487 160986 168652 199316 241479 252978 295141 298974 321972 348803 379467 448461 482958 505956 548119 590282 597948 697606 758934 885423 896922 965916 1046409 1096238 1180564 1395212 1517868 1644357 1770846 1793844 2092818 2192476 2656269 3139227 3288714 3541692 3836833 4185636 4933071 5312538 6278454 6577428 7673666 9866142 10625076 11510499 12556908 15347332 19732284 23020998 34531497 46041996 69062994 138125988
- Sum of all divisors σ(n): 468913536
- Sum of proper divisors (its aliquot sum) s(n): 330787548
- 138125988 is an abundant number, because the sum of its proper divisors (330787548) is greater than itself. Its abundance is 192661560
Bases of 138125988
- Binary: 10000011101110100010101001002
- Hexadecimal: 0x83BA2A4
- Base-36: 2A8IP0
Squares and roots of 138125988
- 138125988 squared (1381259882) is 19078788560976144
- 138125988 cubed (1381259883) is 2635276519827928134430272
-
The
square root of 138125988 is 11752.7013065083 -
The
cube root of 138125988 is 516.9221387059
Scales and comparisons
How big is 138125988?- 138,125,988 seconds is equal to 4 years, 20 weeks, 2 days, 16 hours, 19 minutes, 48 seconds.
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To count from 1 to 138,125,988 would take you about six 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 138125988 cubic inches would be around 43.1 feet tall.
Recreational maths with 138125988
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