131053680
131,053,680 is an even composite number composed of six prime numbers multiplied together.
131053680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 131053680:
24 × 33 × 5 × 17 × 43 × 83
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 43 × 83)See below for interesting mathematical facts about the number 131053680 from the Numbermatics database.
Names of 131053680
- Cardinal: 131053680 can be written as One hundred thirty-one million, fifty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3105368 × 108
Factors of 131053680
Divisors of 131053680
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 43 45 48 51 54 60 68 72 80 83 85 86 90 102 108 120 129 135 136 144 153 166 170 172 180 204 215 216 240 249 255 258 270 272 306 332 340 344 360 387 408 415 430 432 459 498 510 516 540 612 645 664 680 688 720 731 747 765 774 816 830 860 918 996 1020 1032 1080 1161 1224 1245 1290 1328 1360 1411 1462 1494 1530 1548 1660 1720 1836 1935 1992 2040 2064 2160 2193 2241 2295 2322 2448 2490 2580 2822 2924 2988 3060 3096 3320 3440 3569 3655 3672 3735 3870 3984 4080 4233 4386 4482 4590 4644 4980 5160 5644 5805 5848 5976 6120 6192 6579 6640 7055 7138 7310 7344 7470 7740 8466 8772 8964 9180 9288 9960 10320 10707 10965 11205 11288 11610 11696 11952 12240 12699 13158 14110 14276 14620 14940 15480 16932 17544 17845 17928 18360 18576 19737 19920 21165 21414 21930 22410 22576 23220 25398 26316 28220 28552 29240 29880 30960 32121 32895 33864 35088 35690 35856 36720 38097 39474 42330 42828 43860 44820 46440 50796 52632 53535 56440 57104 58480 59760 60673 63495 64242 65790 67728 71380 76194 78948 84660 85656 87720 89640 92880 96363 98685 101592 105264 107070 112880 121346 126990 128484 131580 142760 152388 157896 160605 169320 171312 175440 179280 182019 190485 192726 197370 203184 214140 242692 253980 256968 263160 285520 303365 304776 315792 321210 338640 364038 380970 385452 394740 428280 481815 485384 507960 513936 526320 546057 606730 609552 642420 728076 761940 770904 789480 856560 910095 963630 970768 1015920 1092114 1213460 1284840 1456152 1523880 1541808 1578960 1638171 1820190 1927260 2184228 2426920 2569680 2730285 2912304 3047760 3276342 3640380 3854520 4368456 4853840 5460570 6552684 7280760 7709040 8190855 8736912 10921140 13105368 14561520 16381710 21842280 26210736 32763420 43684560 65526840 131053680
- Sum of all divisors σ(n): 494968320
- Sum of proper divisors (its aliquot sum) s(n): 363914640
- 131053680 is an abundant number, because the sum of its proper divisors (363914640) is greater than itself. Its abundance is 232860960
Bases of 131053680
- Binary: 1111100111110111000011100002
- Hexadecimal: 0x7CFB870
- Base-36: 260XO0
Squares and roots of 131053680
- 131053680 squared (1310536802) is 17175067041542400
- 131053680 cubed (1310536803) is 2250855740040844396032000
-
The
square root of 131053680 is 11447.8679237665 -
The
cube root of 131053680 is 507.9446691965
Scales and comparisons
How big is 131053680?- 131,053,680 seconds is equal to 4 years, 8 weeks, 4 days, 19 hours, 48 minutes.
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To count from 1 to 131,053,680 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 131053680 cubic inches would be around 42.3 feet tall.
Recreational maths with 131053680
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