138051264
138,051,264 is an even composite number composed of six prime numbers multiplied together.
138051264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138051264:
26 × 3 × 13 × 19 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 41 × 71)See below for interesting mathematical facts about the number 138051264 from the Numbermatics database.
Names of 138051264
- Cardinal: 138051264 can be written as One hundred thirty-eight million, fifty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38051264 × 108
Factors of 138051264
Divisors of 138051264
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 41 48 52 57 64 71 76 78 82 96 104 114 123 142 152 156 164 192 208 213 228 246 247 284 304 312 328 416 426 456 492 494 533 568 608 624 656 741 779 832 852 912 923 984 988 1066 1136 1216 1248 1312 1349 1482 1558 1599 1704 1824 1846 1968 1976 2132 2272 2337 2496 2624 2698 2769 2911 2964 3116 3198 3408 3648 3692 3936 3952 4047 4264 4544 4674 5396 5538 5822 5928 6232 6396 6816 7384 7872 7904 8094 8528 8733 9348 10127 10792 11076 11644 11856 12464 12792 13632 14768 15808 16188 17056 17466 17537 18696 20254 21584 22152 23288 23712 24928 25584 29536 30381 32376 34112 34932 35074 37392 37843 40508 43168 44304 46576 47424 49856 51168 52611 55309 59072 60762 64752 69864 70148 74784 75686 81016 86336 88608 93152 102336 105222 110618 113529 121524 129504 139728 140296 149568 151372 162032 165927 177216 186304 210444 221236 227058 243048 259008 279456 280592 302744 324064 331854 420888 442472 454116 486096 558912 561184 605488 648128 663708 719017 841776 884944 908232 972192 1122368 1210976 1327416 1438034 1683552 1769888 1816464 1944384 2157051 2421952 2654832 2876068 3367104 3539776 3632928 4314102 5309664 5752136 7265856 8628204 10619328 11504272 17256408 23008544 34512816 46017088 69025632 138051264
- Sum of all divisors σ(n): 430133760
- Sum of proper divisors (its aliquot sum) s(n): 292082496
- 138051264 is an abundant number, because the sum of its proper divisors (292082496) is greater than itself. Its abundance is 154031232
Bases of 138051264
- Binary: 10000011101001111110110000002
- Hexadecimal: 0x83A7EC0
- Base-36: 2A6X1C
Squares and roots of 138051264
- 138051264 squared (1380512642) is 19058151491997696
- 138051264 cubed (1380512643) is 2631001902973767817887744
-
The
square root of 138051264 is 11749.5218626121 -
The
cube root of 138051264 is 516.8289062931
Scales and comparisons
How big is 138051264?- 138,051,264 seconds is equal to 4 years, 20 weeks, 1 day, 19 hours, 34 minutes, 24 seconds.
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To count from 1 to 138,051,264 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 138051264 cubic inches would be around 43.1 feet tall.
Recreational maths with 138051264
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