132868736
132,868,736 is an even composite number composed of six prime numbers multiplied together.
132868736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 132868736:
27 × 7 × 11 × 13 × 17 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 61)See below for interesting mathematical facts about the number 132868736 from the Numbermatics database.
Names of 132868736
- Cardinal: 132868736 can be written as One hundred thirty-two million, eight hundred sixty-eight thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.32868736 × 108
Factors of 132868736
Divisors of 132868736
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 61 64 68 77 88 91 104 112 119 122 128 136 143 154 176 182 187 208 221 224 238 244 272 286 308 352 364 374 416 427 442 448 476 488 544 572 616 671 704 728 748 793 832 854 884 896 952 976 1001 1037 1088 1144 1232 1309 1342 1408 1456 1496 1547 1586 1664 1708 1768 1904 1952 2002 2074 2176 2288 2431 2464 2618 2684 2912 2992 3094 3172 3416 3536 3808 3904 4004 4148 4576 4697 4862 4928 5236 5368 5551 5824 5984 6188 6344 6832 7072 7259 7616 7808 8008 8296 8723 9152 9394 9724 9856 10472 10736 11102 11407 11648 11968 12376 12688 13481 13664 14144 14518 15232 16016 16592 17017 17446 18304 18788 19448 20944 21472 22204 22814 23936 24752 25376 26962 27328 28288 29036 32032 33184 34034 34892 37576 38896 41888 42944 44408 45628 49504 50752 53924 54656 58072 61061 64064 66368 68068 69784 75152 77792 79849 83776 85888 88816 91256 94367 99008 101504 107848 116144 122122 128128 132736 136136 139568 148291 150304 155584 159698 167552 177632 182512 188734 198016 215696 232288 244244 272272 279136 296582 300608 311168 319396 355264 365024 377468 431392 464576 488488 544544 558272 593164 601216 638792 710528 730048 754936 862784 929152 976976 1038037 1089088 1116544 1186328 1277584 1460096 1509872 1725568 1953952 2076074 2178176 2372656 2555168 3019744 3907904 4152148 4745312 5110336 6039488 7815808 8304296 9490624 10220672 12078976 16608592 18981248 33217184 66434368 132868736
- Sum of all divisors σ(n): 382475520
- Sum of proper divisors (its aliquot sum) s(n): 249606784
- 132868736 is an abundant number, because the sum of its proper divisors (249606784) is greater than itself. Its abundance is 116738048
Bases of 132868736
- Binary: 1111110101101101010100000002
- Hexadecimal: 0x7EB6A80
- Base-36: 273U68
Squares and roots of 132868736
- 132868736 squared (1328687362) is 17654101006237696
- 132868736 cubed (1328687363) is 2345678085915130783072256
-
The
square root of 132868736 is 11526.8701736421 -
The
cube root of 132868736 is 510.2788888587
Scales and comparisons
How big is 132868736?- 132,868,736 seconds is equal to 4 years, 11 weeks, 4 days, 19 hours, 58 minutes, 56 seconds.
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To count from 1 to 132,868,736 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 132868736 cubic inches would be around 42.5 feet tall.
Recreational maths with 132868736
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