138857472
138,857,472 is an even composite number composed of five prime numbers multiplied together.
138857472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 138857472:
210 × 32 × 13 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 61)See below for interesting mathematical facts about the number 138857472 from the Numbermatics database.
Names of 138857472
- Cardinal: 138857472 can be written as One hundred thirty-eight million, eight hundred fifty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38857472 × 108
Factors of 138857472
Divisors of 138857472
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 61 64 72 76 78 96 104 114 117 122 128 144 152 156 171 183 192 208 228 234 244 247 256 288 304 312 342 366 384 416 456 468 488 494 512 549 576 608 624 684 732 741 768 793 832 912 936 976 988 1024 1098 1152 1159 1216 1248 1368 1464 1482 1536 1586 1664 1824 1872 1952 1976 2196 2223 2304 2318 2379 2432 2496 2736 2928 2964 3072 3172 3328 3477 3648 3744 3904 3952 4392 4446 4608 4636 4758 4864 4992 5472 5856 5928 6344 6656 6954 7137 7296 7488 7808 7904 8784 8892 9216 9272 9516 9728 9984 10431 10944 11712 11856 12688 13312 13908 14274 14592 14976 15067 15616 15808 17568 17784 18544 19032 19456 19968 20862 21888 23424 23712 25376 27816 28548 29184 29952 30134 31232 31616 35136 35568 37088 38064 39936 41724 43776 45201 46848 47424 50752 55632 57096 58368 59904 60268 62464 63232 70272 71136 74176 76128 83448 87552 90402 93696 94848 101504 111264 114192 119808 120536 126464 135603 140544 142272 148352 152256 166896 175104 180804 187392 189696 203008 222528 228384 241072 252928 271206 281088 284544 296704 304512 333792 361608 379392 406016 445056 456768 482144 542412 562176 569088 593408 609024 667584 723216 758784 812032 890112 913536 964288 1084824 1138176 1186816 1218048 1335168 1446432 1780224 1827072 1928576 2169648 2276352 2436096 2670336 2892864 3560448 3654144 3857152 4339296 5340672 5785728 7308288 7714304 8678592 10681344 11571456 15428608 17357184 23142912 34714368 46285824 69428736 138857472
- Sum of all divisors σ(n): 461966960
- Sum of proper divisors (its aliquot sum) s(n): 323109488
- 138857472 is an abundant number, because the sum of its proper divisors (323109488) is greater than itself. Its abundance is 184252016
Bases of 138857472
- Binary: 10000100011011001100000000002
- Hexadecimal: 0x846CC00
- Base-36: 2AO740
Squares and roots of 138857472
- 138857472 squared (1388574722) is 19281397530230784
- 138857472 cubed (1388574723) is 2677366117674890242818048
-
The
square root of 138857472 is 11783.7800386803 -
The
cube root of 138857472 is 517.8330335497
Scales and comparisons
How big is 138857472?- 138,857,472 seconds is equal to 4 years, 21 weeks, 4 days, 3 hours, 31 minutes, 12 seconds.
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To count from 1 to 138,857,472 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 138857472 cubic inches would be around 43.2 feet tall.
Recreational maths with 138857472
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