138631220
138,631,220 is an even composite number composed of six prime numbers multiplied together.
138631220 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 138631220:
22 × 5 × 7 × 13 × 192 × 211
(2 × 2 × 5 × 7 × 13 × 19 × 19 × 211)See below for interesting mathematical facts about the number 138631220 from the Numbermatics database.
Names of 138631220
- Cardinal: 138631220 can be written as One hundred thirty-eight million, six hundred thirty-one thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3863122 × 108
Factors of 138631220
Divisors of 138631220
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 211 247 260 266 361 364 380 422 455 494 532 665 722 844 910 988 1055 1235 1330 1444 1477 1729 1805 1820 2110 2470 2527 2660 2743 2954 3458 3610 4009 4220 4693 4940 5054 5486 5908 6916 7220 7385 8018 8645 9386 10108 10972 12635 13715 14770 16036 17290 18772 19201 20045 23465 25270 27430 28063 29540 32851 34580 38402 40090 46930 50540 52117 54860 56126 65702 76171 76804 80180 93860 96005 104234 112252 131404 140315 152342 164255 192010 208468 260585 280630 304684 328510 364819 380855 384020 521170 533197 561260 657020 729638 761710 990223 1042340 1066394 1459276 1523420 1824095 1980446 2132788 2665985 3648190 3960892 4951115 5331970 6931561 7296380 9902230 10663940 13863122 19804460 27726244 34657805 69315610 138631220
- Sum of all divisors σ(n): 379951488
- Sum of proper divisors (its aliquot sum) s(n): 241320268
- 138631220 is an abundant number, because the sum of its proper divisors (241320268) is greater than itself. Its abundance is 102689048
Bases of 138631220
- Binary: 10000100001101011000001101002
- Hexadecimal: 0x8435834
- Base-36: 2AJCJ8
Squares and roots of 138631220
- 138631220 squared (1386312202) is 19218615158688400
- 138631220 cubed (1386312203) is 2664300066159466491848000
-
The
square root of 138631220 is 11774.1759796599 -
The
cube root of 138631220 is 517.5516312151
Scales and comparisons
How big is 138631220?- 138,631,220 seconds is equal to 4 years, 21 weeks, 1 day, 12 hours, 40 minutes, 20 seconds.
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To count from 1 to 138,631,220 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 138631220 cubic inches would be around 43.1 feet tall.
Recreational maths with 138631220
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