107005140
107,005,140 is an even composite number composed of five prime numbers multiplied together.
107005140 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 107005140:
22 × 32 × 5 × 112 × 173
(2 × 2 × 3 × 3 × 5 × 11 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 107005140 from the Numbermatics database.
Names of 107005140
- Cardinal: 107005140 can be written as One hundred seven million, five thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.0700514 × 108
Factors of 107005140
Divisors of 107005140
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 121 132 153 165 170 180 187 198 204 220 242 255 289 306 330 340 363 374 396 484 495 510 561 578 605 612 660 726 748 765 867 935 990 1020 1089 1122 1156 1210 1445 1452 1530 1683 1734 1815 1870 1980 2057 2178 2244 2420 2601 2805 2890 3060 3179 3366 3468 3630 3740 4114 4335 4356 4913 5202 5445 5610 5780 6171 6358 6732 7260 8228 8415 8670 9537 9826 10285 10404 10890 11220 12342 12716 13005 14739 15895 16830 17340 18513 19074 19652 20570 21780 24565 24684 26010 28611 29478 30855 31790 33660 34969 37026 38148 41140 44217 47685 49130 52020 54043 57222 58956 61710 63580 69938 73695 74052 88434 92565 95370 98260 104907 108086 114444 123420 139876 143055 147390 162129 174845 176868 185130 190740 209814 216172 221085 270215 286110 294780 314721 324258 349690 370260 419628 442170 486387 524535 540430 572220 594473 629442 648516 699380 810645 884340 972774 1049070 1080860 1188946 1258884 1573605 1621290 1783419 1945548 2098140 2377892 2431935 2972365 3147210 3242580 3566838 4863870 5350257 5944730 6294420 7133676 8917095 9727740 10700514 11889460 17834190 21401028 26751285 35668380 53502570 107005140
- Sum of all divisors σ(n): 379065960
- Sum of proper divisors (its aliquot sum) s(n): 272060820
- 107005140 is an abundant number, because the sum of its proper divisors (272060820) is greater than itself. Its abundance is 165055680
Bases of 107005140
- Binary: 1100110000011000100110101002
- Hexadecimal: 0x660C4D4
- Base-36: 1RPHP0
Squares and roots of 107005140
- 107005140 squared (1070051402) is 11450099986419600
- 107005140 cubed (1070051403) is 1225219552060827396744000
-
The
square root of 107005140 is 10344.3288810827 -
The
cube root of 107005140 is 474.7535415813
Scales and comparisons
How big is 107005140?- 107,005,140 seconds is equal to 3 years, 20 weeks, 6 days, 11 hours, 39 minutes.
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To count from 1 to 107,005,140 would take you about five 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 107005140 cubic inches would be around 39.6 feet tall.
Recreational maths with 107005140
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Keywords: Divisors of 107005140, math, Factors of 107005140, curriculum, school, college, exams, university, Prime factorization of 107005140, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven million, five thousand, one hundred forty.