230369040
230,369,040 is an even composite number composed of seven prime numbers multiplied together.
230369040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 230369040:
24 × 32 × 5 × 11 × 17 × 29 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 17 × 29 × 59)See below for interesting mathematical facts about the number 230369040 from the Numbermatics database.
Names of 230369040
- Cardinal: 230369040 can be written as Two hundred thirty million, three hundred sixty-nine thousand and forty.
Scientific notation
- Scientific notation: 2.3036904 × 108
Factors of 230369040
Divisors of 230369040
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 29 30 33 34 36 40 44 45 48 51 55 58 59 60 66 68 72 80 85 87 88 90 99 102 110 116 118 120 132 136 144 145 153 165 170 174 176 177 180 187 198 204 220 232 236 240 255 261 264 272 290 295 306 319 330 340 348 354 360 374 396 408 435 440 464 472 493 495 510 522 528 531 561 580 590 612 638 649 660 680 696 708 720 748 765 792 816 870 880 885 935 944 957 986 990 1003 1020 1044 1062 1122 1160 1180 1224 1276 1298 1305 1320 1360 1392 1416 1479 1496 1530 1584 1595 1683 1711 1740 1770 1870 1914 1947 1972 1980 2006 2040 2088 2124 2244 2320 2360 2448 2465 2552 2596 2610 2640 2655 2805 2832 2871 2958 2992 3009 3060 3190 3245 3366 3422 3480 3540 3740 3828 3894 3944 3960 4012 4080 4176 4248 4437 4488 4720 4785 4930 5015 5104 5133 5192 5220 5310 5423 5610 5742 5841 5916 6018 6120 6380 6490 6732 6844 6960 7080 7395 7480 7656 7788 7888 7920 8024 8415 8496 8555 8874 8976 9027 9570 9735 9860 10030 10266 10384 10440 10620 10846 11033 11220 11484 11682 11832 12036 12240 12760 12980 13464 13688 14160 14355 14790 14960 15045 15312 15399 15576 16048 16269 16830 17110 17748 18054 18821 19140 19470 19720 20060 20532 20880 21240 21692 22066 22185 22440 22968 23364 23664 24072 25520 25665 25960 26928 27115 27376 28710 29087 29205 29580 30090 30798 31152 32538 33099 33660 34220 35496 36108 37642 38280 38940 39440 40120 41064 42480 43384 44132 44370 44880 45135 45936 46728 48144 48807 51330 51920 54230 55165 56463 57420 58174 58410 59160 60180 61596 65076 66198 67320 68440 70992 72216 75284 76560 76995 77880 80240 81345 82128 86768 87261 88264 88740 90270 93456 94105 97614 99297 102660 108460 110330 112926 114840 116348 116820 118320 120360 123192 130152 132396 134640 136880 144432 145435 150568 153990 155760 162690 165495 169389 174522 176528 177480 180540 188210 195228 198594 205320 216920 220660 225852 229680 232696 233640 240720 244035 246384 260304 261783 264792 282315 290870 301136 307980 319957 325380 330990 338778 349044 354960 361080 376420 390456 397188 410640 433840 436305 441320 451704 465392 467280 488070 496485 523566 529584 564630 581740 615960 639914 650760 661980 677556 698088 722160 752840 780912 794376 846945 872610 882640 903408 959871 976140 992970 1047132 1129260 1163480 1231920 1279828 1301520 1308915 1323960 1355112 1396176 1505680 1588752 1599785 1693890 1745220 1919742 1952280 1985940 2094264 2258520 2326960 2559656 2617830 2647920 2710224 2879613 3199570 3387780 3490440 3839484 3904560 3971880 4188528 4517040 4799355 5119312 5235660 5759226 6399140 6775560 6980880 7678968 7943760 9598710 10471320 11518452 12798280 13551120 14398065 15357936 19197420 20942640 23036904 25596560 28796130 38394840 46073808 57592260 76789680 115184520 230369040
- Sum of all divisors σ(n): 940118400
- Sum of proper divisors (its aliquot sum) s(n): 709749360
- 230369040 is an abundant number, because the sum of its proper divisors (709749360) is greater than itself. Its abundance is 479380320
Bases of 230369040
- Binary: 11011011101100100111000100002
- Hexadecimal: 0xDBB2710
- Base-36: 3T5LW0
Squares and roots of 230369040
- 230369040 squared (2303690402) is 53069894590521600
- 230369040 cubed (2303690403) is 12225660669719654091264000
-
The
square root of 230369040 is 15177.9129000003 -
The
cube root of 230369040 is 613.0200852635
Scales and comparisons
How big is 230369040?- 230,369,040 seconds is equal to 7 years, 16 weeks, 6 days, 7 hours, 24 minutes.
-
To count from 1 to 230,369,040 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 230369040 cubic inches would be around 51.1 feet tall.
Recreational maths with 230369040
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