131335200
131,335,200 is an even composite number composed of six prime numbers multiplied together.
131335200 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 131335200:
25 × 32 × 52 × 17 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 29 × 37)See below for interesting mathematical facts about the number 131335200 from the Numbermatics database.
Names of 131335200
- Cardinal: 131335200 can be written as One hundred thirty-one million, three hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.313352 × 108
Factors of 131335200
Divisors of 131335200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 37 40 45 48 50 51 58 60 68 72 74 75 80 85 87 90 96 100 102 111 116 120 136 144 145 148 150 153 160 170 174 180 185 200 204 222 225 232 240 255 261 272 288 290 296 300 306 333 340 348 360 370 400 408 425 435 444 450 464 480 493 510 522 544 555 580 592 600 612 629 666 680 696 720 725 740 765 800 816 850 870 888 900 925 928 986 1020 1044 1073 1110 1160 1184 1200 1224 1258 1275 1305 1332 1360 1392 1440 1450 1479 1480 1530 1632 1665 1700 1740 1776 1800 1850 1887 1972 2040 2088 2146 2175 2220 2320 2400 2448 2465 2516 2550 2610 2664 2720 2775 2784 2900 2958 2960 3060 3145 3219 3330 3400 3480 3552 3600 3700 3774 3825 3944 4080 4176 4292 4350 4437 4440 4640 4896 4930 5032 5100 5220 5328 5365 5550 5661 5800 5916 5920 6120 6290 6438 6525 6660 6800 6960 7200 7395 7400 7548 7650 7888 8160 8325 8352 8584 8700 8874 8880 9435 9657 9860 10064 10200 10440 10656 10730 11100 11322 11600 11832 12240 12325 12580 12876 13050 13320 13600 13920 14790 14800 15096 15300 15725 15776 16095 16650 17168 17400 17748 17760 18241 18870 19314 19720 20128 20400 20880 21460 22185 22200 22644 23200 23664 24480 24650 25160 25752 26100 26640 26825 28305 29580 29600 30192 30600 31450 32190 33300 34336 34800 35496 36482 36975 37740 38628 39440 40800 41760 42920 44370 44400 45288 47175 47328 48285 49300 50320 51504 52200 53280 53650 54723 56610 59160 60384 61200 62900 64380 66600 69600 70992 72964 73950 75480 77256 78880 80475 85840 88740 88800 90576 91205 94350 96570 98600 100640 103008 104400 107300 109446 110925 113220 118320 122400 125800 128760 133200 141525 141984 145928 147900 150960 154512 160950 164169 171680 177480 181152 182410 188700 193140 197200 208800 214600 218892 221850 226440 236640 241425 251600 257520 266400 273615 283050 291856 295800 301920 309024 321900 328338 354960 364820 377400 386280 394400 429200 437784 443700 452880 456025 482850 503200 515040 547230 566100 583712 591600 643800 656676 709920 729640 754800 772560 820845 858400 875568 887400 905760 912050 965700 1094460 1132200 1183200 1287600 1313352 1368075 1459280 1509600 1545120 1641690 1751136 1774800 1824100 1931400 2188920 2264400 2575200 2626704 2736150 2918560 3283380 3549600 3648200 3862800 4104225 4377840 4528800 5253408 5472300 6566760 7296400 7725600 8208450 8755680 10944600 13133520 14592800 16416900 21889200 26267040 32833800 43778400 65667600 131335200
- Sum of all divisors σ(n): 520982280
- Sum of proper divisors (its aliquot sum) s(n): 389647080
- 131335200 is an abundant number, because the sum of its proper divisors (389647080) is greater than itself. Its abundance is 258311880
Bases of 131335200
- Binary: 1111101010000000100001000002
- Hexadecimal: 0x7D40420
- Base-36: 266YW0
Squares and roots of 131335200
- 131335200 squared (1313352002) is 17248934759040000
- 131335200 cubed (1313352003) is 2265392296365470208000000
-
The
square root of 131335200 is 11460.1570669865 -
The
cube root of 131335200 is 508.3081190277
Scales and comparisons
How big is 131335200?- 131,335,200 seconds is equal to 4 years, 9 weeks, 1 day, 2 hours.
-
To count from 1 to 131,335,200 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 131335200 cubic inches would be around 42.4 feet tall.
Recreational maths with 131335200
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