138829656
138,829,656 is an even composite number composed of seven prime numbers multiplied together.
138829656 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138829656:
23 × 3 × 7 × 19 × 23 × 31 × 61
(2 × 2 × 2 × 3 × 7 × 19 × 23 × 31 × 61)See below for interesting mathematical facts about the number 138829656 from the Numbermatics database.
Names of 138829656
- Cardinal: 138829656 can be written as One hundred thirty-eight million, eight hundred twenty-nine thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38829656 × 108
Factors of 138829656
Divisors of 138829656
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 19 21 23 24 28 31 38 42 46 56 57 61 62 69 76 84 92 93 114 122 124 133 138 152 161 168 183 184 186 217 228 244 248 266 276 322 366 372 399 427 434 437 456 483 488 532 552 589 644 651 713 732 744 798 854 868 874 966 1064 1159 1178 1281 1288 1302 1311 1403 1426 1464 1596 1708 1736 1748 1767 1891 1932 2139 2318 2356 2562 2604 2622 2806 2852 3059 3192 3416 3477 3496 3534 3782 3864 4123 4209 4278 4636 4712 4991 5124 5208 5244 5612 5673 5704 6118 6954 7068 7564 8113 8246 8418 8556 9177 9272 9821 9982 10248 10488 11224 11346 12236 12369 13237 13547 13908 14136 14973 15128 16226 16492 16836 17112 18354 19642 19964 22692 24339 24472 24738 26474 26657 27094 27816 29463 29946 32452 32984 33672 35929 36708 39284 39711 39928 40641 43493 45384 48678 49476 52948 53314 54188 58926 59892 64904 71858 73416 78568 79422 79971 81282 86986 94829 97356 98952 105896 106628 107787 108376 117852 119784 130479 143716 158844 159942 162564 173972 186599 189658 194712 213256 215574 235704 251503 260958 284487 287432 304451 317688 319884 325128 347944 373198 379316 431148 503006 521916 559797 568974 608902 639768 746396 754509 758632 826367 862296 913353 1006012 1043832 1119594 1137948 1217804 1492792 1509018 1652734 1826706 2012024 2239188 2275896 2435608 2479101 3018036 3305468 3653412 4478376 4958202 5784569 6036072 6610936 7306824 9916404 11569138 17353707 19832808 23138276 34707414 46276552 69414828 138829656
- Sum of all divisors σ(n): 457113600
- Sum of proper divisors (its aliquot sum) s(n): 318283944
- 138829656 is an abundant number, because the sum of its proper divisors (318283944) is greater than itself. Its abundance is 179454288
Bases of 138829656
- Binary: 10000100011001011111010110002
- Hexadecimal: 0x8465F58
- Base-36: 2ANLNC
Squares and roots of 138829656
- 138829656 squared (1388296562) is 19273673385078336
- 138829656 cubed (1388296563) is 2675757445906780919932416
-
The
square root of 138829656 is 11782.5997131363 -
The
cube root of 138829656 is 517.7984537141
Scales and comparisons
How big is 138829656?- 138,829,656 seconds is equal to 4 years, 21 weeks, 3 days, 19 hours, 47 minutes, 36 seconds.
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To count from 1 to 138,829,656 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 138829656 cubic inches would be around 43.1 feet tall.
Recreational maths with 138829656
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