230615424
230,615,424 is an even composite number composed of five prime numbers multiplied together.
230615424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 230615424:
27 × 34 × 13 × 29 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 29 × 59)See below for interesting mathematical facts about the number 230615424 from the Numbermatics database.
Names of 230615424
- Cardinal: 230615424 can be written as Two hundred thirty million, six hundred fifteen thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 2.30615424 × 108
Factors of 230615424
Divisors of 230615424
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 59 64 72 78 81 87 96 104 108 116 117 118 128 144 156 162 174 177 192 208 216 232 234 236 261 288 312 324 348 351 354 377 384 416 432 464 468 472 522 531 576 624 648 696 702 708 754 767 783 832 864 928 936 944 1044 1053 1062 1131 1152 1248 1296 1392 1404 1416 1508 1534 1566 1593 1664 1711 1728 1856 1872 1888 2088 2106 2124 2262 2301 2349 2496 2592 2784 2808 2832 3016 3068 3132 3186 3393 3422 3456 3712 3744 3776 4176 4212 4248 4524 4602 4698 4779 4992 5133 5184 5568 5616 5664 6032 6136 6264 6372 6786 6844 6903 7488 7552 8352 8424 8496 9048 9204 9396 9558 10179 10266 10368 11136 11232 11328 12064 12272 12528 12744 13572 13688 13806 14976 15399 16704 16848 16992 18096 18408 18792 19116 20358 20532 20709 22243 22464 22656 24128 24544 25056 25488 27144 27376 27612 30537 30798 33408 33696 33984 36192 36816 37584 38232 40716 41064 41418 44486 44928 46197 48256 49088 50112 50976 54288 54752 55224 61074 61596 62127 66729 67392 67968 72384 73632 75168 76464 81432 82128 82836 88972 92394 98176 100224 101952 108576 109504 110448 122148 123192 124254 133458 134784 138591 144768 147264 150336 152928 162864 164256 165672 177944 184788 200187 203904 217152 219008 220896 244296 246384 248508 266916 277182 294528 300672 305856 325728 328512 331344 355888 369576 400374 434304 441792 488592 492768 497016 533832 554364 600561 611712 651456 657024 662688 711776 739152 800748 883584 977184 985536 994032 1067664 1108728 1201122 1302912 1325376 1423552 1478304 1601496 1801683 1954368 1971072 1988064 2135328 2217456 2402244 2650752 2847104 2956608 3202992 3603366 3908736 3976128 4270656 4434912 4804488 5913216 6405984 7206732 7952256 8541312 8869824 9608976 12811968 14413464 17739648 19217952 25623936 28826928 38435904 57653856 76871808 115307712 230615424
- Sum of all divisors σ(n): 777546000
- Sum of proper divisors (its aliquot sum) s(n): 546930576
- 230615424 is an abundant number, because the sum of its proper divisors (546930576) is greater than itself. Its abundance is 316315152
Bases of 230615424
- Binary: 11011011111011101001100000002
- Hexadecimal: 0xDBEE980
- Base-36: 3TAW00
Squares and roots of 230615424
- 230615424 squared (2306154242) is 53183473786699776
- 230615424 cubed (2306154243) is 12264929357112654402945024
-
The
square root of 230615424 is 15186.0272619273 -
The
cube root of 230615424 is 613.2385528819
Scales and comparisons
How big is 230615424?- 230,615,424 seconds is equal to 7 years, 17 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 230,615,424 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 230615424 cubic inches would be around 51.1 feet tall.
Recreational maths with 230615424
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