131730868396962000
131,730,868,396,962,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131730868396962000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
131730868396962000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 131730868396962000:
24 × 32 × 53 × 17 × 412 × 73 × 18732
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 41 × 41 × 73 × 1873 × 1873)See below for interesting mathematical facts about the number 131730868396962000 from the Numbermatics database.
Names of 131730868396962000
- Cardinal: 131730868396962000 can be written as One hundred thirty-one quadrillion, seven hundred thirty trillion, eight hundred sixty-eight billion, three hundred ninety-six million, nine hundred sixty-two thousand.
Scientific notation
- Scientific notation: 1.31730868396962 × 1017
Factors of 131730868396962000
Divisors of 131730868396962000
- Number of divisors d(n): 2160
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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 30 34 36 40 41 45 48 50 51 60 68 72 73 75 80 82 85 90 100 102 120 123 125 136 144 146 150 153 164 170 180 200 204 205 219 225 240 246 250 255 272 292 300 306 328 340 360 365 369 375 400 408 410 425 438 450 492 500 510 584 600 612 615 656 657 680 697 720 730 738 750 765 816 820 850 876 900 984 1000 1020 1025 1095 1125 1168 1200 1224 1230 1241 1275 1314 1360 1394 1460 1476 1500 1530 1640 1681 1700 1752 1800 1825 1845 1873 1968 2000 2040 2050 2091 2125 2190 2250 2448 2460 2482 2550 2628 2788 2920 2952 2993 3000 3060 3075 3280 3285 3362 3400 3485 3504 3600 3650 3690 3723 3746 3825 4080 4100 4182 4250 4380 4500 4920 4964 5043 5100 5125 5256 5475 5576 5619 5840 5904 5986 6000 6120 6150 6205 6273 6375 6570 6724 6800 6970 7300 7380 7446 7492 7650 8200 8364 8405 8500 8760 8979 9000 9125 9225 9365 9840 9928 10086 10200 10250 10455 10512 10950 11152 11169 11238 11972 12240 12300 12410 12546 12750 13140 13448 13940 14600 14760 14892 14965 14984 15129 15300 15375 16400 16425 16728 16810 16857 17000 17425 17520 17958 18000 18250 18450 18615 18730 19125 19856 20172 20400 20500 20910 21900 22338 22476 23944 24600 24820 25092 25215 25500 26280 26896 26937 27375 27880 28095 28577 29200 29520 29784 29930 29968 30258 30600 30750 31025 31365 31841 32850 33456 33620 33714 34000 34850 35916 36500 36900 37230 37460 38250 40344 41000 41820 42025 43800 44676 44895 44952 46125 46825 47888 49200 49640 50184 50430 50881 51000 52275 52560 53874 54750 55760 55845 56190 57154 59568 59860 60516 61200 61500 62050 62730 63682 65700 67240 67428 69700 71832 73000 73800 74460 74825 74920 75645 76500 76793 80688 82000 82125 83640 84050 84285 85731 87125 87600 89352 89790 89904 92250 93075 93650 95523 99280 100368 100860 101762 102000 104550 107748 109500 111690 112380 114308 119720 121032 122713 123000 124100 125460 126075 127364 131400 134480 134685 134856 136729 139400 140475 142885 143664 146000 147600 148920 149650 149840 151290 152643 153000 153586 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6425896019364 6457395509655 6530382133500 6634310455125 6887888543632 7033148339400 7076597818800 7139884465960 7218129775176 7318381577609 7335497739000 7518885182475 7559877669840 7748874611586 7814609266000 7836458560200 7874872572750 8020144194640 8032370024205 8567861359152 8609860679540 8707176178000 8791435424250 8802597286800 8845747273500 8924855582450 9022662218970 9449847087300 9795573200250 10025180243300 10331832815448 10499830097000 10614896728200 10709826698940 10762325849425 11003246608500 11721913899000 11794329698000 11812308859125 12030216291960 12531475304125 12599796116400 12851792038728 12914791019310 13060764267000 13268620910250 13387283373675 14066296678800 14279768931920 14436259550352 14636763155218 14670995478000 15037770364950 15497749223172 15672917120400 15749745145500 16064740048410 17219721359080 17582870848500 17691494547000 17849711164900 18045324437940 18899694174600 19372186528965 19591146400500 20050360486600 20663665630896 20999660194000 21229793456400 21419653397880 21524651698850 21955144732827 22006493217000 22312138956125 22556655547425 23443827798000 23624617718250 24060432583920 25062950608250 25703584077456 25829582038620 26121528534000 26537241820500 26774566747350 29273526310436 30075540729900 30995498446344 31499490291000 32129480096820 32286977548275 34439442718160 35165741697000 35382989094000 35699422329800 36090648875880 36591907888045 37594425912375 37799388349200 38744373057930 39182292801000 40100720973200 40161850121025 42839306795760 43049303397700 43910289465654 44012986434000 44624277912250 45113311094850 47249235436500 50125901216500 51659164077240 53074483641000 53549133494700 53811629247125 58547052620872 60151081459800 61990996892688 62998980582000 64258960193640 64573955096550 65865434198481 66936416868375 70331483394000 71398844659600 72181297751760 73183815776090 75188851824750 77488746115860 78364585602000 80323700242050 86098606795400 87820578931308 89248555824500 90226622189700 94498470873000 96860932644825 100251802433000 103318328154480 106148967282000 107098266989400 107623258494250 109775723664135 112783277737125 117094105241744 120302162919600 128517920387280 129147910193100 131730868396962 133872833736750 146367631552180 150377703649500 154977492231720 160647400484100 161434887741375 172197213590800 175641157862616 178497111649000 180453244379400 182959539440225 188996941746000 193721865289650 200503604866000 200809250605125 214196533978800 215246516988500 219551447328270 225566555474250 258295820386200 263461736793924 267745667473500 292735263104360 300755407299000 309954984463440 321294800968200 322869775482750 329327170992405 351282315725232 356994223298000 360906488758800 365919078880450 387443730579300 401618501210250 430493033977000 439102894656540 451133110948500 484304663224125 516591640772400 526923473587848 535491334947000 548878618320675 585470526208720 601510814598000 642589601936400 645739550965500 658654341984810 731838157760900 774887461158600 803237002420500 860986067954000 878205789313080 902266221897000 914797697201125 968609326448250 1053846947175696 1070982669894000 1097757236641350 1291479101931000 1317308683969620 1463676315521800 1549774922317200 1606474004841000 1646635854962025 1756411578626160 1804532443794000 1829595394402250 1937218652896500 2195514473282700 2582958203862000 2634617367939240 2744393091603375 2927352631043600 3212948009682000 3293271709924050 3659190788804500 3874437305793000 4391028946565400 5269234735878480 5488786183206750 6586543419848100 7318381577609000 7748874611586000 8233179274810125 8782057893130800 10977572366413500 13173086839696200 14636763155218000 16466358549620250 21955144732827000 26346173679392400 32932717099240500 43910289465654000 65865434198481000 131730868396962000
- Sum of all divisors σ(n): 506438407453449744
- Sum of proper divisors (its aliquot sum) s(n): 374707539056487744
- 131730868396962000 is an abundant number, because the sum of its proper divisors (374707539056487744) is greater than itself. Its abundance is 242976670659525744
Bases of 131730868396962000
- Binary: 1110101000000000010000110111000001100000100110000110100002
- Hexadecimal: 0x1D40086E0C130D0
- Base-36: 1012P1I5BIS0
Squares and roots of 131730868396962000
- 131730868396962000 squared (1317308683969620002) is 17353021688617721803610829444000000
- 131730868396962000 cubed (1317308683969620003) is 2285928616352928408929248179463039469749128000000000
-
The
square root of 131730868396962000 is 362947473.3304559045 -
The
cube root of 131730868396962000 is 508818.0605760371
Scales and comparisons
How big is 131730868396962000?- 131,730,868,396,962,000 seconds is equal to 4,188,634,144 years, 36 weeks, 13 hours.
-
To count from 1 to 131,730,868,396,962,000 would take you about twelve billion, five hundred sixty-five million, nine hundred two thousand, four hundred thirty-four 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 131730868396962000 cubic inches would be around 42401.5 feet tall.
Recreational maths with 131730868396962000
- 131730868396962000 backwards is 000269693868037131
- 131730868396962000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131730868396962000's digits is 72
- More coming soon!
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The information we have on file for 131730868396962000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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