142974216
142,974,216 is an even composite number composed of seven prime numbers multiplied together.
142974216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 142974216:
23 × 32 × 7 × 11 × 17 × 37 × 41
(2 × 2 × 2 × 3 × 3 × 7 × 11 × 17 × 37 × 41)See below for interesting mathematical facts about the number 142974216 from the Numbermatics database.
Names of 142974216
- Cardinal: 142974216 can be written as One hundred forty-two million, nine hundred seventy-four thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.42974216 × 108
Factors of 142974216
Divisors of 142974216
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 17 18 21 22 24 28 33 34 36 37 41 42 44 51 56 63 66 68 72 74 77 82 84 88 99 102 111 119 123 126 132 136 148 153 154 164 168 187 198 204 222 231 238 246 252 259 264 287 296 306 308 328 333 357 369 374 396 407 408 444 451 462 476 492 504 518 561 574 612 616 629 666 693 697 714 738 748 777 792 814 861 888 902 924 952 984 1036 1071 1122 1148 1221 1224 1258 1309 1332 1353 1386 1394 1428 1476 1496 1517 1554 1628 1683 1722 1804 1848 1887 2072 2091 2142 2244 2296 2331 2442 2516 2583 2618 2664 2706 2772 2788 2849 2856 2952 3034 3108 3157 3256 3366 3444 3608 3663 3774 3927 4059 4182 4284 4403 4488 4551 4662 4879 4884 5032 5166 5236 5412 5544 5576 5661 5698 6068 6216 6273 6314 6732 6888 6919 7326 7548 7667 7854 8118 8364 8547 8568 8806 9102 9324 9471 9758 9768 10332 10472 10619 10824 11322 11396 11781 12136 12546 12628 13209 13464 13653 13838 14637 14652 15096 15334 15708 16236 16687 16728 17094 17612 18204 18648 18942 19516 20664 20757 21238 22644 22792 23001 23562 25092 25256 25641 25789 26418 27306 27676 28413 29274 29304 30668 31416 31857 32472 33374 34188 35224 36408 37884 39032 39627 41514 42476 43911 45288 46002 47124 48433 50061 50184 51282 51578 52836 53669 54612 55352 56826 58548 61336 62271 63714 66748 68376 69003 75768 77367 79254 83028 84952 87822 92004 94248 95571 96866 100122 102564 103156 105672 107338 109224 113652 116809 117096 124542 127428 133496 138006 145299 150183 154734 158508 161007 166056 175644 180523 184008 191142 193732 200244 205128 206312 214676 227304 232101 233618 249084 254856 276012 283679 290598 300366 309468 317016 322014 350427 351288 361046 382284 387464 400488 429352 435897 464202 467236 483021 498168 541569 552024 567358 581196 600732 618936 644028 700854 722092 764568 851037 871794 928404 934472 966042 1051281 1083138 1134716 1162392 1201464 1288056 1401708 1444184 1624707 1702074 1743588 1856808 1932084 1985753 2102562 2166276 2269432 2553111 2803416 3249414 3404148 3487176 3864168 3971506 4205124 4332552 5106222 5957259 6498828 6808296 7943012 8410248 10212444 11914518 12997656 15886024 17871777 20424888 23829036 35743554 47658072 71487108 142974216
- Sum of all divisors σ(n): 537788160
- Sum of proper divisors (its aliquot sum) s(n): 394813944
- 142974216 is an abundant number, because the sum of its proper divisors (394813944) is greater than itself. Its abundance is 251839728
Bases of 142974216
- Binary: 10001000010110011101000010002
- Hexadecimal: 0x8859D08
- Base-36: 2D4FM0
Squares and roots of 142974216
- 142974216 squared (1429742162) is 20441626440814656
- 142974216 cubed (1429742163) is 2922625514140345842909696
-
The
square root of 142974216 is 11957.1826113009 -
The
cube root of 142974216 is 522.9007217233
Scales and comparisons
How big is 142974216?- 142,974,216 seconds is equal to 4 years, 28 weeks, 2 days, 19 hours, 3 minutes, 36 seconds.
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To count from 1 to 142,974,216 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 142974216 cubic inches would be around 43.6 feet tall.
Recreational maths with 142974216
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