230513472
230,513,472 is an even composite number composed of six prime numbers multiplied together.
230513472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 230513472:
26 × 33 × 7 × 17 × 19 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 19 × 59)See below for interesting mathematical facts about the number 230513472 from the Numbermatics database.
Names of 230513472
- Cardinal: 230513472 can be written as Two hundred thirty million, five hundred thirteen thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 2.30513472 × 108
Factors of 230513472
Divisors of 230513472
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 59 63 64 68 72 76 84 96 102 108 112 114 118 119 126 133 136 144 152 153 168 171 177 189 192 204 216 224 228 236 238 252 266 272 288 304 306 323 336 342 354 357 378 399 408 413 432 448 456 459 472 476 504 513 531 532 544 576 608 612 646 672 684 708 714 756 798 816 826 864 912 918 944 952 969 1003 1008 1026 1062 1064 1071 1088 1121 1197 1216 1224 1239 1292 1344 1368 1416 1428 1512 1593 1596 1632 1652 1728 1824 1836 1888 1904 1938 2006 2016 2052 2124 2128 2142 2242 2261 2394 2448 2478 2584 2736 2832 2856 2907 3009 3024 3186 3192 3213 3264 3304 3363 3591 3648 3672 3717 3776 3808 3876 4012 4032 4104 4248 4256 4284 4484 4522 4788 4896 4956 5168 5472 5664 5712 5814 6018 6048 6372 6384 6426 6608 6726 6783 7021 7182 7344 7434 7616 7752 7847 8024 8208 8496 8512 8568 8721 8968 9027 9044 9576 9792 9912 10089 10336 10944 11151 11328 11424 11628 12036 12096 12744 12768 12852 13216 13452 13566 14042 14364 14688 14868 15504 15694 16048 16416 16992 17136 17442 17936 18054 18088 19057 19152 19824 20178 20349 20672 21063 22302 22848 23256 23541 24072 25488 25536 25704 26432 26904 27081 27132 28084 28728 29376 29736 30267 31008 31388 32096 32832 33984 34272 34884 35872 36108 36176 38114 38304 39648 40356 40698 42126 44604 46512 47082 48144 50976 51408 53808 54162 54264 56168 57171 57456 59472 60534 61047 62016 62776 63189 64192 68544 69768 70623 71744 72216 72352 76228 76608 79296 80712 81396 84252 89208 93024 94164 96288 101952 102816 107616 108324 108528 112336 114342 114912 118944 121068 122094 125552 126378 133399 139536 141246 144432 144704 152456 161424 162792 168504 171513 178416 186048 188328 189567 192576 205632 211869 215232 216648 217056 224672 228684 229824 237888 242136 244188 251104 252756 266798 279072 282492 288864 304912 322848 325584 337008 343026 356832 376656 379134 400197 423738 433296 434112 449344 457368 484272 488376 502208 505512 514539 533596 558144 564984 577728 609824 645696 651168 674016 686052 713664 753312 758268 800394 847476 866592 914736 968544 976752 1011024 1029078 1067192 1129968 1200591 1219648 1302336 1348032 1372104 1506624 1516536 1600788 1694952 1733184 1829472 1937088 1953504 2022048 2058156 2134384 2259936 2401182 2744208 3033072 3201576 3389904 3601773 3658944 3907008 4044096 4116312 4268768 4519872 4802364 5488416 6066144 6403152 6779808 7203546 8232624 8537536 9604728 10976832 12132288 12806304 13559616 14407092 16465248 19209456 25612608 28814184 32930496 38418912 57628368 76837824 115256736 230513472
- Sum of all divisors σ(n): 877824000
- Sum of proper divisors (its aliquot sum) s(n): 647310528
- 230513472 is an abundant number, because the sum of its proper divisors (647310528) is greater than itself. Its abundance is 416797056
Bases of 230513472
- Binary: 11011011110101011011010000002
- Hexadecimal: 0xDBD5B40
- Base-36: 3T8PC0
Squares and roots of 230513472
- 230513472 squared (2305134722) is 53136460773494784
- 230513472 cubed (2305134723) is 12248670062690088233730048
-
The
square root of 230513472 is 15182.6701208977 -
The
cube root of 230513472 is 613.1481713695
Scales and comparisons
How big is 230513472?- 230,513,472 seconds is equal to 7 years, 17 weeks, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 230,513,472 would take you about ten 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 230513472 cubic inches would be around 51.1 feet tall.
Recreational maths with 230513472
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