131412380400
131,412,380,400 is an even composite number composed of six prime numbers multiplied together.
131412380400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131412380400:
24 × 33 × 52 × 7 × 89 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 89 × 19531)See below for interesting mathematical facts about the number 131412380400 from the Numbermatics database.
Names of 131412380400
- Cardinal: 131412380400 can be written as One hundred thirty-one billion, four hundred twelve million, three hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.314123804 × 1011
Factors of 131412380400
Divisors of 131412380400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 89 90 100 105 108 112 120 126 135 140 144 150 168 175 178 180 189 200 210 216 225 240 252 267 270 280 300 315 336 350 356 360 378 400 420 432 445 450 504 525 534 540 560 600 623 630 675 700 712 720 756 801 840 890 900 945 1008 1050 1068 1080 1200 1246 1260 1335 1350 1400 1424 1512 1575 1602 1680 1780 1800 1869 1890 2100 2136 2160 2225 2403 2492 2520 2670 2700 2800 3024 3115 3150 3204 3560 3600 3738 3780 4005 4200 4272 4450 4725 4806 4984 5040 5340 5400 5607 6230 6300 6408 6675 7120 7476 7560 8010 8400 8900 9345 9450 9612 9968 10680 10800 11214 12015 12460 12600 12816 13350 14952 15120 15575 16020 16821 17800 18690 18900 19224 19531 20025 21360 22428 24030 24920 25200 26700 28035 29904 31150 32040 33642 35600 37380 37800 38448 39062 40050 44856 46725 48060 49840 53400 56070 58593 60075 62300 64080 67284 74760 75600 78124 80100 84105 89712 93450 96120 97655 106800 112140 117186 120150 124600 134568 136717 140175 149520 156248 160200 168210 175779 186900 192240 195310 224280 234372 240300 249200 269136 273434 280350 292965 312496 320400 336420 351558 373800 390620 410151 420525 448560 468744 480600 488275 527337 546868 560700 585930 672840 683585 703116 747600 781240 820302 841050 878895 937488 961200 976550 1054674 1093736 1121400 1171860 1230453 1345680 1367170 1406232 1464825 1562480 1640604 1682100 1738259 1757790 1953100 2050755 2109348 2187472 2242800 2343720 2460906 2636685 2734340 2812464 2929650 3281208 3364200 3417925 3476518 3515580 3691359 3906200 4101510 4218696 4394475 4687440 4921812 5214777 5273370 5468680 5859300 6152265 6562416 6728400 6835850 6953036 7031160 7382718 7812400 8203020 8437392 8691295 8788950 9843624 10253775 10429554 10546740 10937360 11718600 12167813 12304530 13183425 13671700 13906072 14062320 14765436 15644331 16406040 17382590 17577900 18456795 19687248 20507550 20859108 21093480 23437200 24335626 24609060 26073885 26366850 27343400 27812144 29530872 30761325 31288662 32812080 34765180 35155800 36503439 36913590 41015100 41718216 42186960 43456475 46932993 48671252 49218120 52147770 52733700 54686800 59061744 60839065 61522650 62577324 69530360 70311600 73006878 73827180 78221655 82030200 83436432 86912950 92283975 93865986 97342504 98436240 104295540 105467400 109510317 121678130 123045300 125154648 130369425 139060720 146013756 147654360 156443310 164060400 173825900 182517195 184567950 187731972 194685008 208591080 210934800 219020634 234664965 243356260 246090600 250309296 260738850 292027512 295308720 304195325 312886620 328530951 347651800 365034390 369135900 375463944 391108275 417182160 438041268 469329930 486712520 492181200 521477700 547551585 584055024 608390650 625773240 657061902 695303600 730068780 738271800 750927888 782216550 876082536 912585975 938659860 973425040 1042955400 1095103170 1173324825 1216781300 1251546480 1314123804 1460137560 1476543600 1564433100 1642654755 1752165072 1825171950 1877319720 2085910800 2190206340 2346649650 2433562600 2628247608 2737757925 2920275120 3128866200 3285309510 3650343900 3754639440 4380412680 4693299300 4867125200 5256495216 5475515850 6257732400 6570619020 7300687800 8213273775 8760825360 9386598600 10951031700 13141238040 14601375600 16426547550 18773197200 21902063400 26282476080 32853095100 43804126800 65706190200 131412380400
- Sum of all divisors σ(n): 540583257600
- Sum of proper divisors (its aliquot sum) s(n): 409170877200
- 131412380400 is an abundant number, because the sum of its proper divisors (409170877200) is greater than itself. Its abundance is 277758496800
Bases of 131412380400
- Binary: 11110100110001100100111001010111100002
- Hexadecimal: 0x1E98C9CAF0
- Base-36: 1ODBJDO0
Squares and roots of 131412380400
- 131412380400 squared (1314123804002) is 17269213722394304160000
- 131412380400 cubed (1314123804003) is 2269388482896180297067222464000000
-
The
square root of 131412380400 is 362508.4556255205 -
The
cube root of 131412380400 is 5084.0767025623
Scales and comparisons
How big is 131412380400?- 131,412,380,400 seconds is equal to 4,178 years, 26 weeks, 2 days, 15 hours.
-
To count from 1 to 131,412,380,400 would take you about eight thousand, three hundred fifty-seven 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 131412380400 cubic inches would be around 423.7 feet tall.
Recreational maths with 131412380400
- 131412380400 backwards is 004083214131
- 131412380400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131412380400's digits is 27
- More coming soon!
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