131320800
131,320,800 is an even composite number composed of six prime numbers multiplied together.
131320800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 131320800:
25 × 32 × 52 × 13 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 23 × 61)See below for interesting mathematical facts about the number 131320800 from the Numbermatics database.
Names of 131320800
- Cardinal: 131320800 can be written as One hundred thirty-one million, three hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.313208 × 108
Factors of 131320800
Divisors of 131320800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 61 65 69 72 75 78 80 90 92 96 100 104 115 117 120 122 130 138 144 150 156 160 180 183 184 195 200 207 208 225 230 234 240 244 260 276 288 299 300 305 312 325 345 360 366 368 390 400 414 416 450 460 468 480 488 520 549 552 575 585 598 600 610 624 650 690 720 732 736 780 793 800 828 897 900 915 920 936 975 976 1035 1040 1098 1104 1150 1170 1196 1200 1220 1248 1300 1380 1403 1440 1464 1495 1525 1560 1586 1656 1725 1794 1800 1830 1840 1872 1950 1952 2070 2080 2196 2208 2300 2340 2379 2392 2400 2440 2600 2691 2745 2760 2806 2925 2928 2990 3050 3120 3172 3312 3450 3588 3600 3660 3680 3744 3900 3965 4140 4209 4392 4485 4575 4600 4680 4758 4784 4880 5175 5200 5382 5490 5520 5612 5850 5856 5980 6100 6240 6344 6624 6900 7015 7137 7176 7200 7320 7475 7800 7930 8280 8418 8784 8970 9150 9200 9360 9516 9568 9760 10350 10400 10764 10980 11040 11224 11700 11895 11960 12200 12627 12688 13455 13725 13800 14030 14274 14352 14640 14950 15600 15860 16560 16836 17568 17940 18239 18300 18400 18720 19032 19825 20700 21045 21528 21960 22425 22448 23400 23790 23920 24400 25254 25376 26910 27450 27600 28060 28548 28704 29280 29900 31200 31720 33120 33672 35075 35685 35880 36478 36600 38064 39650 41400 42090 43056 43920 44850 44896 46800 47580 47840 48800 50508 53820 54717 54900 55200 56120 57096 59475 59800 63135 63440 67275 67344 70150 71370 71760 72956 73200 76128 79300 82800 84180 86112 87840 89700 91195 93600 95160 101016 105225 107640 109434 109800 112240 114192 118950 119600 126270 126880 134550 134688 140300 142740 143520 145912 146400 158600 164151 165600 168360 178425 179400 182390 190320 202032 210450 215280 218868 219600 224480 228384 237900 239200 252540 269100 273585 280600 285480 291824 315675 317200 328302 336720 356850 358800 364780 380640 404064 420900 430560 437736 439200 455975 475800 505080 538200 547170 561200 570960 583648 631350 634400 656604 673440 713700 717600 729560 820755 841800 875472 911950 951600 1010160 1076400 1094340 1122400 1141920 1262700 1313208 1367925 1427400 1459120 1641510 1683600 1750944 1823900 1903200 2020320 2152800 2188680 2525400 2626416 2735850 2854800 2918240 3283020 3367200 3647800 4103775 4377360 5050800 5252832 5471700 5709600 6566040 7295600 8207550 8754720 10101600 10943400 13132080 14591200 16415100 21886800 26264160 32830200 43773600 65660400 131320800
- Sum of all divisors σ(n): 528903648
- Sum of proper divisors (its aliquot sum) s(n): 397582848
- 131320800 is an abundant number, because the sum of its proper divisors (397582848) is greater than itself. Its abundance is 266262048
Bases of 131320800
- Binary: 1111101001111001011111000002
- Hexadecimal: 0x7D3CBE0
- Base-36: 266NS0
Squares and roots of 131320800
- 131320800 squared (1313208002) is 17245152512640000
- 131320800 cubed (1313208003) is 2264647224081894912000000
-
The
square root of 131320800 is 11459.5287861237 -
The
cube root of 131320800 is 508.2895408541
Scales and comparisons
How big is 131320800?- 131,320,800 seconds is equal to 4 years, 9 weeks, 22 hours.
-
To count from 1 to 131,320,800 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 131320800 cubic inches would be around 42.4 feet tall.
Recreational maths with 131320800
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