138664512
138,664,512 is an even composite number composed of four prime numbers multiplied together.
138664512 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138664512:
26 × 32 × 72 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 17 × 17)See below for interesting mathematical facts about the number 138664512 from the Numbermatics database.
Names of 138664512
- Cardinal: 138664512 can be written as One hundred thirty-eight million, six hundred sixty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38664512 × 108
Factors of 138664512
Divisors of 138664512
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 63 64 68 72 84 96 98 102 112 119 126 136 144 147 153 168 192 196 204 224 238 252 272 288 289 294 306 336 357 392 408 441 448 476 504 544 576 578 588 612 672 714 784 816 833 867 882 952 1008 1071 1088 1156 1176 1224 1344 1428 1568 1632 1666 1734 1764 1904 2016 2023 2142 2312 2352 2448 2499 2601 2856 3136 3264 3332 3468 3528 3808 4032 4046 4284 4624 4704 4896 4913 4998 5202 5712 6069 6664 6936 7056 7497 7616 8092 8568 9248 9408 9792 9826 9996 10404 11424 12138 13328 13872 14112 14161 14739 14994 16184 17136 18207 18496 19652 19992 20808 22848 24276 26656 27744 28224 28322 29478 29988 32368 34272 34391 36414 39304 39984 41616 42483 44217 48552 53312 55488 56644 58956 59976 64736 68544 68782 72828 78608 79968 83232 84966 88434 97104 103173 113288 117912 119952 127449 129472 137564 145656 157216 159936 166464 169932 176868 194208 206346 226576 235824 239904 240737 254898 275128 291312 309519 314432 339864 353736 388416 412692 453152 471648 479808 481474 509796 550256 582624 619038 679728 707472 722211 825384 906304 943296 962948 1019592 1100512 1165248 1238076 1359456 1414944 1444422 1650768 1925896 2039184 2166633 2201024 2476152 2718912 2829888 2888844 3301536 3851792 4078368 4333266 4952304 5777688 6603072 7703584 8156736 8666532 9904608 11555376 15407168 17333064 19809216 23110752 34666128 46221504 69332256 138664512
- Sum of all divisors σ(n): 491238540
- Sum of proper divisors (its aliquot sum) s(n): 352574028
- 138664512 is an abundant number, because the sum of its proper divisors (352574028) is greater than itself. Its abundance is 213909516
Bases of 138664512
- Binary: 10000100001111011010010000002
- Hexadecimal: 0x843DA40
- Base-36: 2AK280
Squares and roots of 138664512
- 138664512 squared (1386645122) is 19227846888198144
- 138664512 cubed (1386645123) is 2666220005562714197065728
-
The
square root of 138664512 is 11775.5896667641 -
The
cube root of 138664512 is 517.5930575493
Scales and comparisons
How big is 138664512?- 138,664,512 seconds is equal to 4 years, 21 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,664,512 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 138664512 cubic inches would be around 43.1 feet tall.
Recreational maths with 138664512
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