137147472
137,147,472 is an even composite number composed of six prime numbers multiplied together.
137147472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137147472:
24 × 33 × 72 × 11 × 19 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 19 × 31)See below for interesting mathematical facts about the number 137147472 from the Numbermatics database.
Names of 137147472
- Cardinal: 137147472 can be written as One hundred thirty-seven million, one hundred forty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.37147472 × 108
Factors of 137147472
Divisors of 137147472
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 31 33 36 38 42 44 48 49 54 56 57 62 63 66 72 76 77 84 88 93 98 99 108 112 114 124 126 132 133 144 147 152 154 168 171 176 186 189 196 198 209 216 217 228 231 248 252 264 266 279 294 297 304 308 336 341 342 372 378 392 396 399 418 432 434 441 456 462 496 504 513 528 532 539 558 588 589 594 616 627 651 682 684 693 744 756 784 792 798 836 837 868 882 912 924 931 1008 1023 1026 1064 1078 1116 1176 1178 1188 1197 1232 1254 1302 1323 1364 1368 1386 1463 1488 1512 1519 1584 1596 1617 1672 1674 1736 1764 1767 1848 1862 1881 1953 2046 2052 2079 2128 2156 2232 2352 2356 2376 2387 2394 2508 2604 2646 2728 2736 2772 2793 2926 3024 3038 3069 3192 3234 3344 3348 3472 3528 3534 3591 3696 3724 3762 3906 4092 4104 4123 4158 4312 4389 4464 4557 4712 4752 4774 4788 4851 5016 5208 5292 5301 5456 5544 5586 5643 5852 5859 6076 6138 6384 6468 6479 6696 7056 7068 7161 7182 7448 7524 7812 8184 8208 8246 8316 8379 8624 8778 9114 9207 9424 9548 9576 9702 10032 10241 10416 10584 10602 11088 11172 11286 11704 11718 12152 12276 12369 12936 12958 13167 13392 13671 14136 14322 14364 14553 14896 15048 15624 15903 16368 16492 16632 16709 16758 17556 18228 18414 19096 19152 19404 19437 20482 21168 21204 21483 22344 22572 23408 23436 24304 24552 24738 25137 25872 25916 26334 27342 28272 28644 28728 28861 29106 30096 30723 31248 31806 32984 33264 33418 33516 35112 36456 36828 37107 38192 38808 38874 39501 40964 41013 42408 42966 44688 45144 45353 46872 49104 49476 50127 50274 51832 52668 54684 57288 57456 57722 58212 58311 61446 63612 64449 65968 66836 67032 70224 72912 73656 74214 77616 77748 79002 81928 82026 84816 85932 86583 90288 90706 92169 93744 98952 100254 100548 103664 105336 109368 111321 114576 115444 116424 116622 122892 127224 128898 133672 134064 136059 147312 148428 150381 155496 158004 163856 164052 171864 173166 174933 181412 184338 197904 200508 201096 210672 218736 222642 230888 232848 233244 245784 254448 257796 259749 267344 272118 276507 296856 300762 310992 316008 317471 328104 343728 346332 349866 362824 368676 401016 402192 408177 445284 451143 461776 466488 491568 515592 519498 544236 553014 593712 601524 632016 634942 656208 692664 699732 725648 737352 779247 802032 816354 890568 902286 932976 952413 1031184 1038996 1088472 1106028 1203048 1224531 1269884 1385328 1399464 1474704 1558494 1632708 1781136 1804572 1904826 2077992 2176944 2212056 2406096 2449062 2539768 2798928 2857239 3116988 3265416 3609144 3809652 4155984 4424112 4898124 5079536 5714478 6233976 6530832 7218288 7619304 8571717 9796248 11428956 12467952 15238608 17143434 19592496 22857912 34286868 45715824 68573736 137147472
- Sum of all divisors σ(n): 542822400
- Sum of proper divisors (its aliquot sum) s(n): 405674928
- 137147472 is an abundant number, because the sum of its proper divisors (405674928) is greater than itself. Its abundance is 268527456
Bases of 137147472
- Binary: 10000010110010110100010100002
- Hexadecimal: 0x82CB450
- Base-36: 29NJO0
Squares and roots of 137147472
- 137147472 squared (1371474722) is 18809429075990784
- 137147472 cubed (1371474723) is 2579665647535431920898048
-
The
square root of 137147472 is 11710.9979079497 -
The
cube root of 137147472 is 515.6985800451
Scales and comparisons
How big is 137147472?- 137,147,472 seconds is equal to 4 years, 18 weeks, 5 days, 8 hours, 31 minutes, 12 seconds.
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To count from 1 to 137,147,472 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 137147472 cubic inches would be around 43 feet tall.
Recreational maths with 137147472
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