142968672
142,968,672 is an even composite number composed of five prime numbers multiplied together.
142968672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 142968672:
25 × 33 × 72 × 11 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 307)See below for interesting mathematical facts about the number 142968672 from the Numbermatics database.
Names of 142968672
- Cardinal: 142968672 can be written as One hundred forty-two million, nine hundred sixty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.42968672 × 108
Factors of 142968672
Divisors of 142968672
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 84 88 96 98 99 108 112 126 132 144 147 154 168 176 189 196 198 216 224 231 252 264 288 294 297 307 308 336 352 378 392 396 432 441 462 504 528 539 588 594 614 616 672 693 756 784 792 864 882 921 924 1008 1056 1078 1176 1188 1228 1232 1323 1386 1512 1568 1584 1617 1764 1842 1848 2016 2079 2149 2156 2352 2376 2456 2464 2646 2763 2772 3024 3168 3234 3377 3528 3684 3696 4158 4298 4312 4704 4752 4851 4912 5292 5526 5544 6048 6447 6468 6754 7056 7368 7392 8289 8316 8596 8624 9504 9702 9824 10131 10584 11052 11088 12894 12936 13508 14112 14553 14736 15043 16578 16632 17192 17248 19341 19404 20262 21168 22104 22176 23639 25788 25872 27016 29106 29472 30086 30393 33156 33264 34384 38682 38808 40524 42336 44208 45129 47278 51576 51744 54032 58023 58212 60172 60786 66312 66528 68768 70917 77364 77616 81048 88416 90258 91179 94556 103152 108064 116046 116424 120344 121572 132624 135387 141834 154728 155232 162096 165473 180516 182358 189112 206304 212751 232092 232848 240688 243144 265248 270774 283668 309456 324192 330946 361032 364716 378224 406161 425502 464184 465696 481376 486288 496419 541548 567336 618912 638253 661892 722064 729432 756448 812322 851004 928368 972576 992838 1083096 1134672 1276506 1323784 1444128 1458864 1489257 1624644 1702008 1856736 1985676 2166192 2269344 2553012 2647568 2917728 2978514 3249288 3404016 3971352 4332384 4467771 5106024 5295136 5957028 6498576 6808032 7942704 8935542 10212048 11914056 12997152 15885408 17871084 20424096 23828112 35742168 47656224 71484336 142968672
- Sum of all divisors σ(n): 530893440
- Sum of proper divisors (its aliquot sum) s(n): 387924768
- 142968672 is an abundant number, because the sum of its proper divisors (387924768) is greater than itself. Its abundance is 244956096
Bases of 142968672
- Binary: 10001000010110000111011000002
- Hexadecimal: 0x8858760
- Base-36: 2D4BC0
Squares and roots of 142968672
- 142968672 squared (1429686722) is 20440041173443584
- 142968672 cubed (1429686723) is 2922285542192550871400448
-
The
square root of 142968672 is 11956.9507818675 -
The
cube root of 142968672 is 522.8939629307
Scales and comparisons
How big is 142968672?- 142,968,672 seconds is equal to 4 years, 28 weeks, 2 days, 17 hours, 31 minutes, 12 seconds.
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To count from 1 to 142,968,672 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 142968672 cubic inches would be around 43.6 feet tall.
Recreational maths with 142968672
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