71668948096000
71,668,948,096,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 71668948096000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 352 divisors.
71668948096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 71668948096000:
210 × 53 × 137 × 373 × 10957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 137 × 373 × 10957)See below for interesting mathematical facts about the number 71668948096000 from the Numbermatics database.
Names of 71668948096000
- Cardinal: 71668948096000 can be written as Seventy-one trillion, six hundred sixty-eight billion, nine hundred forty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 7.1668948096 × 1013
Factors of 71668948096000
Divisors of 71668948096000
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 137 160 200 250 256 274 320 373 400 500 512 548 640 685 746 800 1000 1024 1096 1280 1370 1492 1600 1865 2000 2192 2560 2740 2984 3200 3425 3730 4000 4384 5120 5480 5968 6400 6850 7460 8000 8768 9325 10957 10960 11936 12800 13700 14920 16000 17125 17536 18650 21914 21920 23872 25600 27400 29840 32000 34250 35072 37300 43828 43840 46625 47744 51101 54785 54800 59680 64000 68500 70144 74600 87656 87680 93250 95488 102202 109570 109600 119360 128000 137000 140288 149200 175312 175360 186500 190976 204404 219140 219200 238720 255505 273925 274000 298400 350624 350720 373000 381952 408808 438280 438400 477440 511010 547850 548000 596800 701248 701440 746000 817616 876560 876800 954880 1022020 1095700 1096000 1193600 1277525 1369625 1402496 1492000 1501109 1635232 1753120 1753600 1909760 2044040 2191400 2192000 2387200 2555050 2739250 2804992 2984000 3002218 3270464 3506240 3507200 4086961 4088080 4382800 4384000 4774400 5110100 5478500 5609984 5968000 6004436 6387625 6540928 7012480 7505545 8173922 8176160 8765600 8768000 9548800 10220200 10957000 11219968 11936000 12008872 12775250 13081856 14024960 15011090 16347844 16352320 17531200 17536000 20434805 20440400 21914000 23872000 24017744 25550500 26163712 28049920 30022180 32695688 32704640 35062400 37527725 40869610 40880800 43828000 47744000 48035488 51101000 52327424 56099840 60044360 65391376 65409280 70124800 75055450 81739220 81761600 87656000 96070976 102174025 102202000 120088720 130782752 130818560 140249600 150110900 163478440 163523200 175312000 187638625 192141952 204348050 204404000 240177440 261565504 261637120 280499200 300221800 326956880 327046400 350624000 375277250 384283904 408696100 408808000 480354880 510870125 523131008 559913657 600443600 653913760 654092800 701248000 750554500 768567808 817392200 817616000 960709760 1021740250 1046262016 1119827314 1200887200 1307827520 1308185600 1402496000 1501109000 1537135616 1634784400 1635232000 1921419520 2043480500 2092524032 2239654628 2401774400 2615655040 2799568285 3002218000 3269568800 3270464000 3842839040 4086961000 4185048064 4479309256 4803548800 5231310080 5599136570 6004436000 6539137600 6540928000 7685678080 8173922000 8958618512 9607097600 10462620160 11198273140 12008872000 13078275200 13997841425 16347844000 17917237024 19214195200 20925240320 22396546280 24017744000 26156550400 27995682850 32695688000 35834474048 38428390400 44793092560 48035488000 52313100800 55991365700 65391376000 69989207125 71668948096 89586185120 96070976000 104626201600 111982731400 130782752000 139978414250 143337896192 179172370240 192141952000 223965462800 261565504000 279956828500 286675792384 358344740480 447930925600 523131008000 559913657000 573351584768 716689480960 895861851200 1119827314000 1433378961920 1791723702400 2239654628000 2866757923840 3583447404800 4479309256000 7166894809600 8958618512000 14333789619200 17917237024000 35834474048000 71668948096000
- Sum of all divisors σ(n): 180602777770272
- Sum of proper divisors (its aliquot sum) s(n): 108933829674272
- 71668948096000 is an abundant number, because the sum of its proper divisors (108933829674272) is greater than itself. Its abundance is 37264881578272
Bases of 71668948096000
- Binary: 100000100101110101110100011000101010100000000002
- Hexadecimal: 0x412EBA315400
- Base-36: PEK9D9BLS
Squares and roots of 71668948096000
- 71668948096000 squared (716689480960002) is 5136438121187142025216000000
- 71668948096000 cubed (716689480960003) is 368123117105677039707785827188736000000000
-
The
square root of 71668948096000 is 8465751.4785162457 -
The
cube root of 71668948096000 is 41537.8177740361
Scales and comparisons
How big is 71668948096000?- 71,668,948,096,000 seconds is equal to 2,278,850 years, 44 weeks, 6 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 71,668,948,096,000 would take you about five million, six hundred ninety-seven thousand, one hundred twenty-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 71668948096000 cubic inches would be around 3461.5 feet tall.
Recreational maths with 71668948096000
- 71668948096000 backwards is 00069084986617
- 71668948096000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 71668948096000's digits is 64
- More coming soon!
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