131131696384000
131,131,696,384,000 is an even composite number composed of five prime numbers multiplied together.
131131696384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131131696384000:
211 × 53 × 13 × 73 × 539761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 73 × 539761)See below for interesting mathematical facts about the number 131131696384000 from the Numbermatics database.
Names of 131131696384000
- Cardinal: 131131696384000 can be written as One hundred thirty-one trillion, one hundred thirty-one billion, six hundred ninety-six million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.31131696384 × 1014
Factors of 131131696384000
Divisors of 131131696384000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 73 80 100 104 125 128 130 146 160 200 208 250 256 260 292 320 325 365 400 416 500 512 520 584 640 650 730 800 832 949 1000 1024 1040 1168 1280 1300 1460 1600 1625 1664 1825 1898 2000 2048 2080 2336 2560 2600 2920 3200 3250 3328 3650 3796 4000 4160 4672 4745 5120 5200 5840 6400 6500 6656 7300 7592 8000 8320 9125 9344 9490 10240 10400 11680 12800 13000 13312 14600 15184 16000 16640 18250 18688 18980 20800 23360 23725 25600 26000 26624 29200 30368 32000 33280 36500 37376 37960 41600 46720 47450 51200 52000 58400 60736 64000 66560 73000 74752 75920 83200 93440 94900 104000 116800 118625 121472 128000 133120 146000 149504 151840 166400 186880 189800 208000 233600 237250 242944 256000 292000 303680 332800 373760 379600 416000 467200 474500 485888 539761 584000 607360 665600 747520 759200 832000 934400 949000 971776 1079522 1168000 1214720 1518400 1664000 1868800 1898000 1943552 2159044 2336000 2429440 2698805 3036800 3328000 3737600 3796000 4318088 4672000 4858880 5397610 6073600 7016893 7592000 8636176 9344000 9717760 10795220 12147200 13494025 14033786 15184000 17272352 18688000 21590440 24294400 26988050 28067572 30368000 34544704 35084465 39402553 43180880 48588800 53976100 56135144 60736000 67470125 69089408 70168930 78805106 86361760 107952200 112270288 121472000 134940250 138178816 140337860 157610212 172723520 175422325 197012765 215904400 224540576 242944000 269880500 276357632 280675720 315220424 345447040 350844650 394025530 431808800 449081152 512233189 539761000 552715264 561351440 630440848 690894080 701689300 788051060 863617600 877111625 898162304 985063825 1024466378 1079522000 1105430528 1122702880 1260881696 1381788160 1403378600 1576102120 1727235200 1754223250 1796324608 1970127650 2048932756 2159044000 2245405760 2521763392 2561165945 2763576320 2806757200 3152204240 3454470400 3508446500 3592649216 3940255300 4097865512 4318088000 4490811520 4925319125 5043526784 5122331890 5527152640 5613514400 6304408480 6908940800 7016893000 7185298432 7880510600 8195731024 8636176000 8981623040 9850638250 10087053568 10244663780 11227028800 12608816960 12805829725 13817881600 14033786000 14370596864 15761021200 16391462048 17272352000 17963246080 19701276500 20174107136 20489327560 22454057600 25217633920 25611659450 27635763200 28067572000 31522042400 32782924096 34544704000 35926492160 39402553000 40348214272 40978655120 44908115200 50435267840 51223318900 56135144000 63044084800 64029148625 65565848192 69089408000 71852984320 78805106000 80696428544 81957310240 89816230400 100870535680 102446637800 112270288000 126088169600 128058297250 131131696384 138178816000 157610212000 163914620480 179632460800 201741071360 204893275600 224540576000 252176339200 256116594500 262263392768 315220424000 327829240960 359264921600 403482142720 409786551200 449081152000 504352678400 512233189000 524526785536 630440848000 655658481920 819573102400 898162304000 1008705356800 1024466378000 1049053571072 1260881696000 1311316963840 1639146204800 1796324608000 2017410713600 2048932756000 2521763392000 2622633927680 3278292409600 4097865512000 5043526784000 5245267855360 6556584819200 8195731024000 10087053568000 13113169638400 16391462048000 26226339276800 32782924096000 65565848192000 131131696384000
- Sum of all divisors σ(n): 357223948230240
- Sum of proper divisors (its aliquot sum) s(n): 226092251846240
- 131131696384000 is an abundant number, because the sum of its proper divisors (226092251846240) is greater than itself. Its abundance is 94960555462240
Bases of 131131696384000
- Binary: 111011101000011011110100010111010001000000000002
- Hexadecimal: 0x77437A2E8800
- Base-36: 1AHD2IB1TS
Squares and roots of 131131696384000
- 131131696384000 squared (1311316963840002) is 17195521796545558675456000000
- 131131696384000 cubed (1311316963840003) is 2254877943389066420253553384751104000000000
-
The
square root of 131131696384000 is 11451274.8802917137 -
The
cube root of 131131696384000 is 50804.5442521767
Scales and comparisons
How big is 131131696384000?- 131,131,696,384,000 seconds is equal to 4,169,582 years, 17 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 131,131,696,384,000 would take you about ten million, four hundred twenty-three thousand, nine hundred fifty-five 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 131131696384000 cubic inches would be around 4233.7 feet tall.
Recreational maths with 131131696384000
- 131131696384000 backwards is 000483696131131
- The number of decimal digits it has is: 15
- The sum of 131131696384000's digits is 46
- More coming soon!
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