71314320
71,314,320 is an even composite number composed of seven prime numbers multiplied together.
71314320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 71314320:
24 × 3 × 5 × 7 × 11 × 17 × 227
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 17 × 227)See below for interesting mathematical facts about the number 71314320 from the Numbermatics database.
Names of 71314320
- Cardinal: 71314320 can be written as Seventy-one million, three hundred fourteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 7.131432 × 107
Factors of 71314320
Divisors of 71314320
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 33 34 35 40 42 44 48 51 55 56 60 66 68 70 77 80 84 85 88 102 105 110 112 119 120 132 136 140 154 165 168 170 176 187 204 210 220 227 231 238 240 255 264 272 280 308 330 336 340 357 374 385 408 420 440 454 462 476 510 528 560 561 595 616 660 680 681 714 748 770 816 840 880 908 924 935 952 1020 1122 1135 1155 1190 1232 1309 1320 1360 1362 1428 1496 1540 1589 1680 1785 1816 1848 1870 1904 2040 2244 2270 2310 2380 2497 2618 2640 2724 2805 2856 2992 3080 3178 3405 3570 3632 3696 3740 3859 3927 4080 4488 4540 4620 4760 4767 4994 5236 5448 5610 5712 6160 6356 6545 6810 7140 7480 7491 7718 7854 7945 8976 9080 9240 9520 9534 9988 10472 10896 11220 11577 12485 12712 13090 13620 14280 14960 14982 15436 15708 15890 17479 18160 18480 19068 19295 19635 19976 20944 22440 23154 23835 24970 25424 26180 27013 27240 28560 29964 30872 31416 31780 34958 37455 38136 38590 39270 39952 42449 44880 46308 47670 49940 52360 52437 54026 54480 57885 59928 61744 62832 63560 69916 74910 76272 77180 78540 81039 84898 87395 92616 95340 99880 104720 104874 108052 115770 119856 127120 127347 135065 139832 149820 154360 157080 162078 169796 174790 185232 190680 199760 209748 212245 216104 231540 254694 262185 270130 279664 297143 299640 308720 314160 324156 339592 349580 381360 405195 419496 424490 432208 463080 509388 524370 540260 594286 599280 636735 648312 679184 699160 810390 838992 848980 891429 926160 1018776 1048740 1080520 1188572 1273470 1296624 1398320 1485715 1620780 1697960 1782858 2037552 2097480 2161040 2377144 2546940 2971430 3241560 3395920 3565716 4194960 4457145 4754288 5093880 5942860 6483120 7131432 8914290 10187760 11885720 14262864 17828580 23771440 35657160 71314320
- Sum of all divisors σ(n): 293124096
- Sum of proper divisors (its aliquot sum) s(n): 221809776
- 71314320 is an abundant number, because the sum of its proper divisors (221809776) is greater than itself. Its abundance is 150495456
Bases of 71314320
- Binary: 1000100000000101011100100002
- Hexadecimal: 0x4402B90
- Base-36: 16GIHC
Squares and roots of 71314320
- 71314320 squared (713143202) is 5085732237062400
- 71314320 cubed (713143203) is 362685536188183853568000
-
The
square root of 71314320 is 8444.7806365825 -
The
cube root of 71314320 is 414.6919279395
Scales and comparisons
How big is 71314320?- 71,314,320 seconds is equal to 2 years, 13 weeks, 6 days, 9 hours, 32 minutes.
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To count from 1 to 71,314,320 would take you about three 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 71314320 cubic inches would be around 34.6 feet tall.
Recreational maths with 71314320
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