230918688
230,918,688 is an even composite number composed of six prime numbers multiplied together.
230918688 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 230918688:
25 × 34 × 7 × 11 × 13 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 89)See below for interesting mathematical facts about the number 230918688 from the Numbermatics database.
Names of 230918688
- Cardinal: 230918688 can be written as Two hundred thirty million, nine hundred eighteen thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 2.30918688 × 108
Factors of 230918688
Divisors of 230918688
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 52 54 56 63 66 72 77 78 81 84 88 89 91 96 99 104 108 112 117 126 132 143 144 154 156 162 168 176 178 182 189 198 208 216 224 231 234 252 264 267 273 286 288 297 308 312 324 336 351 352 356 364 378 396 416 429 432 462 468 504 528 534 546 567 572 594 616 623 624 648 672 693 702 712 728 756 792 801 819 858 864 891 924 936 979 1001 1008 1053 1056 1068 1092 1134 1144 1157 1188 1232 1246 1248 1287 1296 1386 1404 1424 1456 1512 1584 1602 1638 1716 1782 1848 1869 1872 1958 2002 2016 2079 2106 2136 2184 2268 2288 2314 2376 2403 2457 2464 2492 2574 2592 2772 2808 2848 2912 2937 3003 3024 3168 3204 3276 3432 3471 3564 3696 3738 3744 3861 3916 4004 4158 4212 4272 4368 4536 4576 4628 4752 4806 4914 4984 5148 5544 5607 5616 5874 6006 6048 6237 6408 6552 6853 6864 6942 7128 7209 7371 7392 7476 7722 7832 8008 8099 8316 8424 8544 8736 8811 9009 9072 9256 9504 9612 9828 9968 10296 10413 11088 11214 11232 11583 11748 12012 12474 12727 12816 13104 13706 13728 13884 14256 14418 14742 14952 15444 15664 16016 16198 16632 16821 16848 17622 18018 18144 18512 19224 19656 19936 20559 20592 20826 22176 22428 23166 23496 24024 24297 24948 25454 25632 26208 26433 27027 27412 27768 28512 28836 29484 29904 30888 31239 31328 32032 32396 33264 33642 33696 35244 36036 37024 38181 38448 39312 41118 41184 41652 44856 46332 46992 48048 48594 49896 50463 50908 52866 54054 54824 55536 57672 58968 59808 61677 61776 62478 64792 66528 67284 70488 72072 72891 76362 76896 78624 79299 81081 82236 83304 89089 89712 92664 93717 93984 96096 97188 99792 100926 101816 105732 108108 109648 111072 114543 115344 117936 123354 123552 124956 129584 134568 140976 144144 145782 152724 158598 162162 164472 166608 178178 179424 185031 185328 187434 194376 199584 201852 203632 211464 216216 218673 219296 229086 230688 235872 246708 249912 259168 267267 269136 281952 288288 291564 305448 317196 324324 328944 333216 343629 356356 370062 370656 374868 388752 403704 407264 422928 432432 437346 458172 493416 499824 534534 538272 555093 583128 610896 634392 648648 656019 657888 687258 712712 740124 749736 777504 801801 807408 845856 864864 874692 916344 986832 999648 1030887 1069068 1110186 1166256 1221792 1268784 1297296 1312038 1374516 1425424 1480248 1499472 1603602 1614816 1749384 1832688 1973664 2061774 2138136 2220372 2332512 2405403 2537568 2594592 2624076 2749032 2850848 2960496 2998944 3207204 3498768 3665376 4123548 4276272 4440744 4810806 5248152 5498064 5920992 6414408 6997536 7216209 8247096 8552544 8881488 9621612 10496304 10996128 12828816 14432418 16494192 17762976 19243224 20992608 25657632 28864836 32988384 38486448 57729672 76972896 115459344 230918688
- Sum of all divisors σ(n): 922078080
- Sum of proper divisors (its aliquot sum) s(n): 691159392
- 230918688 is an abundant number, because the sum of its proper divisors (691159392) is greater than itself. Its abundance is 460240704
Bases of 230918688
- Binary: 11011100001110001010001000002
- Hexadecimal: 0xDC38A20
- Base-36: 3THE00
Squares and roots of 230918688
- 230918688 squared (2309186882) is 53323440467641344
- 230918688 cubed (2309186883) is 12313378912433845611036672
-
The
square root of 230918688 is 15196.0089497209 -
The
cube root of 230918688 is 613.5072422193
Scales and comparisons
How big is 230918688?- 230,918,688 seconds is equal to 7 years, 17 weeks, 5 days, 16 hours, 4 minutes, 48 seconds.
-
To count from 1 to 230,918,688 would take you about eleven 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 230918688 cubic inches would be around 51.1 feet tall.
Recreational maths with 230918688
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