68132736
68,132,736 is an even composite number composed of five prime numbers multiplied together.
68132736 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 68132736:
27 × 32 × 72 × 17 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 71)See below for interesting mathematical facts about the number 68132736 from the Numbermatics database.
Names of 68132736
- Cardinal: 68132736 can be written as Sixty-eight million, one hundred thirty-two thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 6.8132736 × 107
Factors of 68132736
Divisors of 68132736
- Number of divisors d(n): 288
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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 71 72 84 96 98 102 112 119 126 128 136 142 144 147 153 168 192 196 204 213 224 238 252 272 284 288 294 306 336 357 384 392 408 426 441 448 476 497 504 544 568 576 588 612 639 672 714 784 816 833 852 882 896 952 994 1008 1071 1088 1136 1152 1176 1207 1224 1278 1344 1428 1491 1568 1632 1666 1704 1764 1904 1988 2016 2142 2176 2272 2352 2414 2448 2499 2556 2688 2856 2982 3136 3264 3332 3408 3479 3528 3621 3808 3976 4032 4284 4473 4544 4704 4828 4896 4998 5112 5712 5964 6272 6528 6664 6816 6958 7056 7242 7497 7616 7952 8064 8449 8568 8946 9088 9408 9656 9792 9996 10224 10437 10863 11424 11928 13328 13632 13916 14112 14484 14994 15232 15904 16898 17136 17892 18816 19312 19584 19992 20448 20874 21726 22848 23856 25347 26656 27264 27832 28224 28968 29988 31311 31808 33796 34272 35784 38624 39984 40896 41748 43452 45696 47712 50694 53312 55664 56448 57936 59143 59976 62622 63616 67592 68544 71568 76041 77248 79968 81792 83496 86904 95424 101388 106624 111328 115872 118286 119952 125244 135184 137088 143136 152082 154496 159936 166992 173808 177429 190848 202776 222656 231744 236572 239904 250488 270368 286272 304164 319872 333984 347616 354858 405552 445312 463488 473144 479808 500976 532287 540736 572544 608328 667968 695232 709716 811104 946288 959616 1001952 1064574 1081472 1216656 1335936 1390464 1419432 1622208 1892576 2003904 2129148 2433312 2838864 3244416 3785152 4007808 4258296 4866624 5677728 7570304 8516592 9733248 11355456 17033184 22710912 34066368 68132736
- Sum of all divisors σ(n): 244885680
- Sum of proper divisors (its aliquot sum) s(n): 176752944
- 68132736 is an abundant number, because the sum of its proper divisors (176752944) is greater than itself. Its abundance is 108620208
Bases of 68132736
- Binary: 1000000111110011111100000002
- Hexadecimal: 0x40F9F80
- Base-36: 14KBK0
Squares and roots of 68132736
- 68132736 squared (681327362) is 4642069714845696
- 68132736 cubed (681327363) is 316276910375177086304256
-
The
square root of 68132736 is 8254.2556296739 -
The
cube root of 68132736 is 408.4309172669
Scales and comparisons
How big is 68132736?- 68,132,736 seconds is equal to 2 years, 8 weeks, 4 days, 13 hours, 45 minutes, 36 seconds.
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To count from 1 to 68,132,736 would take you about three 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 68132736 cubic inches would be around 34 feet tall.
Recreational maths with 68132736
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