138438072
138,438,072 is an even composite number composed of five prime numbers multiplied together.
138438072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138438072:
23 × 35 × 17 × 59 × 71
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 59 × 71)See below for interesting mathematical facts about the number 138438072 from the Numbermatics database.
Names of 138438072
- Cardinal: 138438072 can be written as One hundred thirty-eight million, four hundred thirty-eight thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38438072 × 108
Factors of 138438072
Divisors of 138438072
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 59 68 71 72 81 102 108 118 136 142 153 162 177 204 213 216 236 243 284 306 324 354 408 426 459 472 486 531 568 612 639 648 708 852 918 972 1003 1062 1207 1224 1278 1377 1416 1593 1704 1836 1917 1944 2006 2124 2414 2556 2754 3009 3186 3621 3672 3834 4012 4131 4189 4248 4779 4828 5112 5508 5751 6018 6372 7242 7668 8024 8262 8378 9027 9558 9656 10863 11016 11502 12036 12567 12744 14337 14484 15336 16524 16756 17253 18054 19116 21726 23004 24072 25134 27081 28674 28968 32589 33048 33512 34506 36108 37701 38232 43452 46008 50268 54162 57348 65178 69012 71213 72216 75402 81243 86904 97767 100536 108324 113103 114696 130356 138024 142426 150804 162486 195534 213639 216648 226206 243729 260712 284852 293301 301608 324972 339309 391068 427278 452412 487458 569704 586602 640917 649944 678618 782136 854556 904824 974916 1017927 1173204 1281834 1357236 1709112 1922751 1949832 2035854 2346408 2563668 2714472 3845502 4071708 5127336 5768253 7691004 8143416 11536506 15382008 17304759 23073012 34609518 46146024 69219036 138438072
- Sum of all divisors σ(n): 424569600
- Sum of proper divisors (its aliquot sum) s(n): 286131528
- 138438072 is an abundant number, because the sum of its proper divisors (286131528) is greater than itself. Its abundance is 147693456
Bases of 138438072
- Binary: 10000100000001100101101110002
- Hexadecimal: 0x84065B8
- Base-36: 2AF7I0
Squares and roots of 138438072
- 138438072 squared (1384380722) is 19165099779077184
- 138438072 cubed (1384380723) is 2653179463103071292149248
-
The
square root of 138438072 is 11765.9709331613 -
The
cube root of 138438072 is 517.3111598325
Scales and comparisons
How big is 138438072?- 138,438,072 seconds is equal to 4 years, 20 weeks, 6 days, 7 hours, 1 minute, 12 seconds.
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To count from 1 to 138,438,072 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 138438072 cubic inches would be around 43.1 feet tall.
Recreational maths with 138438072
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