135739968
135,739,968 is an even composite number composed of six prime numbers multiplied together.
135739968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 135739968:
26 × 3 × 7 × 13 × 17 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 17 × 457)See below for interesting mathematical facts about the number 135739968 from the Numbermatics database.
Names of 135739968
- Cardinal: 135739968 can be written as One hundred thirty-five million, seven hundred thirty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35739968 × 108
Factors of 135739968
Divisors of 135739968
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 64 68 78 84 91 96 102 104 112 119 136 156 168 182 192 204 208 221 224 238 272 273 312 336 357 364 408 416 442 448 457 476 544 546 624 663 672 714 728 816 832 884 914 952 1088 1092 1248 1326 1344 1371 1428 1456 1547 1632 1768 1828 1904 2184 2496 2652 2742 2856 2912 3094 3199 3264 3536 3656 3808 4368 4641 5304 5484 5712 5824 5941 6188 6398 7072 7312 7616 7769 8736 9282 9597 10608 10968 11424 11882 12376 12796 14144 14624 15538 17472 17823 18564 19194 21216 21936 22848 23307 23764 24752 25592 29248 31076 35646 37128 38388 41587 42432 43872 46614 47528 49504 51184 54383 62152 71292 74256 76776 83174 87744 93228 95056 99008 100997 102368 108766 124304 124761 142584 148512 153552 163149 166348 186456 190112 201994 204736 217532 248608 249522 285168 297024 302991 307104 326298 332696 372912 380224 403988 435064 497216 499044 570336 605982 614208 652596 665392 706979 745824 807976 870128 998088 1140672 1211964 1305192 1330784 1413958 1491648 1615952 1740256 1996176 2120937 2423928 2610384 2661568 2827916 3231904 3480512 3992352 4241874 4847856 5220768 5655832 6463808 7984704 8483748 9695712 10441536 11311664 16967496 19391424 22623328 33934992 45246656 67869984 135739968
- Sum of all divisors σ(n): 469050624
- Sum of proper divisors (its aliquot sum) s(n): 333310656
- 135739968 is an abundant number, because the sum of its proper divisors (333310656) is greater than itself. Its abundance is 197570688
Bases of 135739968
- Binary: 10000001011100111010010000002
- Hexadecimal: 0x8173A40
- Base-36: 28TDMO
Squares and roots of 135739968
- 135739968 squared (1357399682) is 18425338912641024
- 135739968 cubed (1357399683) is 2501054914391047393247232
-
The
square root of 135739968 is 11650.7496754501 -
The
cube root of 135739968 is 513.9283563283
Scales and comparisons
How big is 135739968?- 135,739,968 seconds is equal to 4 years, 16 weeks, 3 days, 1 hour, 32 minutes, 48 seconds.
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To count from 1 to 135,739,968 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 135739968 cubic inches would be around 42.8 feet tall.
Recreational maths with 135739968
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