132257664
132,257,664 is an even composite number composed of five prime numbers multiplied together.
132257664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132257664:
27 × 33 × 72 × 11 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 71)See below for interesting mathematical facts about the number 132257664 from the Numbermatics database.
Names of 132257664
- Cardinal: 132257664 can be written as One hundred thirty-two million, two hundred fifty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.32257664 × 108
Factors of 132257664
Divisors of 132257664
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 71 72 77 84 88 96 98 99 108 112 126 128 132 142 144 147 154 168 176 189 192 196 198 213 216 224 231 252 264 284 288 294 297 308 336 352 378 384 392 396 426 432 441 448 462 497 504 528 539 568 576 588 594 616 639 672 693 704 756 781 784 792 852 864 882 896 924 994 1008 1056 1078 1136 1152 1176 1188 1232 1278 1323 1344 1386 1408 1491 1512 1562 1568 1584 1617 1704 1728 1764 1848 1917 1988 2016 2079 2112 2156 2272 2343 2352 2376 2464 2556 2646 2688 2772 2982 3024 3124 3136 3168 3234 3408 3456 3479 3528 3696 3834 3976 4032 4158 4224 4312 4473 4544 4686 4704 4752 4851 4928 5112 5292 5467 5544 5964 6048 6248 6272 6336 6468 6816 6958 7029 7056 7392 7668 7952 8064 8316 8624 8946 9088 9372 9408 9504 9702 9856 10224 10437 10584 10934 11088 11928 12096 12496 12672 12936 13419 13632 13916 14058 14112 14553 14784 15336 15904 16401 16632 17248 17892 18744 18816 19008 19404 20448 20874 21087 21168 21868 22176 23856 24192 24992 25872 26838 27264 27832 28116 28224 29106 29568 30672 31311 31808 32802 33264 34496 35784 37488 38016 38269 38808 40896 41748 42174 42336 43736 44352 47712 49203 49984 51744 53676 55664 56232 56448 58212 61344 62622 63616 65604 66528 68992 71568 74976 76538 77616 81792 83496 84348 84672 87472 88704 93933 95424 98406 99968 103488 107352 111328 112464 114807 116424 122688 125244 131208 133056 143136 147609 149952 153076 155232 166992 168696 169344 174944 187866 190848 196812 206976 214704 222656 224928 229614 232848 245376 250488 262416 266112 286272 295218 299904 306152 310464 333984 337392 344421 349888 375732 393624 429408 445312 449856 459228 465696 500976 524832 572544 590436 612304 620928 667968 674784 688842 699776 751464 787248 858816 899712 918456 931392 1001952 1033263 1049664 1180872 1224608 1335936 1349568 1377684 1502928 1574496 1717632 1836912 1862784 2003904 2066526 2099328 2361744 2449216 2699136 2755368 3005856 3148992 3673824 4007808 4133052 4723488 4898432 5510736 6011712 6297984 7347648 8266104 9446976 11021472 12023424 14695296 16532208 18893952 22042944 33064416 44085888 66128832 132257664
- Sum of all divisors σ(n): 502329600
- Sum of proper divisors (its aliquot sum) s(n): 370071936
- 132257664 is an abundant number, because the sum of its proper divisors (370071936) is greater than itself. Its abundance is 237814272
Bases of 132257664
- Binary: 1111110001000010111100000002
- Hexadecimal: 0x7E21780
- Base-36: 26QQO0
Squares and roots of 132257664
- 132257664 squared (1322576642) is 17492089686736896
- 132257664 cubed (1322576643) is 2313462920446313647570944
-
The
square root of 132257664 is 11500.3332125639 -
The
cube root of 132257664 is 509.4954178979
Scales and comparisons
How big is 132257664?- 132,257,664 seconds is equal to 4 years, 10 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 132,257,664 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 132257664 cubic inches would be around 42.5 feet tall.
Recreational maths with 132257664
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