45868680
45,868,680 is an even composite number composed of five prime numbers multiplied together.
45868680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 45868680:
23 × 36 × 5 × 112 × 13
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13)See below for interesting mathematical facts about the number 45868680 from the Numbermatics database.
Names of 45868680
- Cardinal: 45868680 can be written as Forty-five million, eight hundred sixty-eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.586868 × 107
Factors of 45868680
Divisors of 45868680
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 33 36 39 40 44 45 52 54 55 60 65 66 72 78 81 88 90 99 104 108 110 117 120 121 130 132 135 143 156 162 165 180 195 198 216 220 234 242 243 260 264 270 286 297 312 324 330 351 360 363 390 396 405 429 440 468 484 486 495 520 540 572 585 594 605 648 660 702 715 726 729 780 792 810 858 891 936 968 972 990 1053 1080 1089 1144 1170 1188 1210 1215 1287 1320 1404 1430 1452 1458 1485 1560 1573 1620 1716 1755 1782 1815 1944 1980 2106 2145 2178 2340 2376 2420 2430 2574 2673 2808 2860 2904 2916 2970 3146 3159 3240 3267 3432 3510 3564 3630 3645 3861 3960 4212 4290 4356 4455 4680 4719 4840 4860 5148 5265 5346 5445 5720 5832 5940 6292 6318 6435 6534 7020 7128 7260 7290 7722 7865 8019 8424 8580 8712 8910 9438 9477 9720 9801 10296 10530 10692 10890 11583 11880 12584 12636 12870 13068 13365 14040 14157 14520 14580 15444 15730 15795 16038 16335 17160 17820 18876 18954 19305 19602 21060 21384 21780 23166 23595 25272 25740 26136 26730 28314 29160 29403 30888 31460 31590 32076 32670 34749 35640 37752 37908 38610 39204 40095 42120 42471 43560 46332 47190 47385 49005 51480 53460 56628 57915 58806 62920 63180 64152 65340 69498 70785 75816 77220 78408 80190 84942 88209 92664 94380 94770 98010 104247 106920 113256 115830 117612 126360 127413 130680 138996 141570 147015 154440 160380 169884 173745 176418 188760 189540 196020 208494 212355 231660 235224 254826 277992 283140 294030 320760 339768 347490 352836 379080 382239 392040 416988 424710 441045 463320 509652 521235 566280 588060 637065 694980 705672 764478 833976 849420 882090 1019304 1042470 1146717 1176120 1274130 1389960 1528956 1698840 1764180 1911195 2084940 2293434 2548260 3057912 3528360 3822390 4169880 4586868 5096520 5733585 7644780 9173736 11467170 15289560 22934340 45868680
- Sum of all divisors σ(n): 183164940
- Sum of proper divisors (its aliquot sum) s(n): 137296260
- 45868680 is an abundant number, because the sum of its proper divisors (137296260) is greater than itself. Its abundance is 91427580
Bases of 45868680
- Binary: 101011101111100110100010002
- Hexadecimal: 0x2BBE688
- Base-36: RB4I0
Squares and roots of 45868680
- 45868680 squared (458686802) is 2103935804942400
- 45868680 cubed (458686803) is 96504758177445364032000
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The
square root of 45868680 is 6772.6420250889 -
The
cube root of 45868680 is 357.9635013715
Scales and comparisons
How big is 45868680?- 45,868,680 seconds is equal to 1 year, 23 weeks, 5 days, 21 hours, 18 minutes.
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To count from 1 to 45,868,680 would take you about two 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 45868680 cubic inches would be around 29.8 feet tall.
Recreational maths with 45868680
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The information we have on file for 45868680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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