138352968
138,352,968 is an even composite number composed of five prime numbers multiplied together.
138352968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138352968:
23 × 33 × 13 × 29 × 1699
(2 × 2 × 2 × 3 × 3 × 3 × 13 × 29 × 1699)See below for interesting mathematical facts about the number 138352968 from the Numbermatics database.
Names of 138352968
- Cardinal: 138352968 can be written as One hundred thirty-eight million, three hundred fifty-two thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38352968 × 108
Factors of 138352968
Divisors of 138352968
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 1699 2088 2262 2808 3016 3132 3393 3398 4524 5097 6264 6786 6796 9048 10179 10194 13572 13592 15291 20358 20388 22087 27144 30582 40716 40776 44174 45873 49271 61164 66261 81432 88348 91746 98542 122328 132522 147813 176696 183492 197084 198783 265044 295626 366984 394168 397566 443439 530088 591252 596349 640523 795132 886878 1182504 1192698 1281046 1330317 1590264 1773756 1921569 2385396 2562092 2660634 3547512 3843138 4770792 5124184 5321268 5764707 7686276 10642536 11529414 15372552 17294121 23058828 34588242 46117656 69176484 138352968
- Sum of all divisors σ(n): 428400000
- Sum of proper divisors (its aliquot sum) s(n): 290047032
- 138352968 is an abundant number, because the sum of its proper divisors (290047032) is greater than itself. Its abundance is 151694064
Bases of 138352968
- Binary: 10000011111100011001010010002
- Hexadecimal: 0x83F1948
- Base-36: 2ADDU0
Squares and roots of 138352968
- 138352968 squared (1383529682) is 19141543754409024
- 138352968 cubed (1383529683) is 2648289390524351556383232
-
The
square root of 138352968 is 11762.3538460633 -
The
cube root of 138352968 is 517.2051334271
Scales and comparisons
How big is 138352968?- 138,352,968 seconds is equal to 4 years, 20 weeks, 5 days, 7 hours, 22 minutes, 48 seconds.
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To count from 1 to 138,352,968 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 138352968 cubic inches would be around 43.1 feet tall.
Recreational maths with 138352968
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