146642201982362320
146,642,201,982,362,320 is an even composite number composed of six prime numbers multiplied together.
146642201982362320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 146642201982362320:
24 × 5 × 13 × 47 × 109 × 27523349071
(2 × 2 × 2 × 2 × 5 × 13 × 47 × 109 × 27523349071)See below for interesting mathematical facts about the number 146642201982362320 from the Numbermatics database.
Names of 146642201982362320
- Cardinal: 146642201982362320 can be written as One hundred forty-six quadrillion, six hundred forty-two trillion, two hundred one billion, nine hundred eighty-two million, three hundred sixty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.4664220198236232 × 1017
Factors of 146642201982362320
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 27523349247
Divisors of 146642201982362320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 109 130 188 208 218 235 260 376 436 470 520 545 611 752 872 940 1040 1090 1222 1417 1744 1880 2180 2444 2834 3055 3760 4360 4888 5123 5668 6110 7085 8720 9776 10246 11336 12220 14170 20492 22672 24440 25615 28340 40984 48880 51230 56680 66599 81968 102460 113360 133198 204920 266396 332995 409840 532792 665990 1065584 1331980 2663960 5327920 27523349071 55046698142 110093396284 137616745355 220186792568 275233490710 357803537923 440373585136 550466981420 715607075846 1100933962840 1293597406337 1431214151692 1789017689615 2201867925680 2587194812674 2862428303384 3000045048739 3578035379230 5174389625348 5724856606768 6000090097478 6467987031685 7156070758460 10348779250696 12000180194956 12935974063370 14312141516920 15000225243695 16816766282381 20697558501392 24000360389912 25871948126740 28624283033840 30000450487390 33633532564762 39000585633607 48000720779824 51743896253480 60000900974780 67267065129524 78001171267214 84083831411905 103487792506960 120001801949560 134534130259048 141002117290733 156002342534428 168167662823810 195002928168035 240003603899120 269068260518096 282004234581466 312004685068856 336335325647620 390005856336070 564008469162932 624009370137712 672670651295240 705010586453665 780011712672140 1128016938325864 1345341302590480 1410021172907330 1560023425344280 1833027524779529 2256033876651728 2820042345814660 3120046850688560 3666055049559058 5640084691629320 7332110099118116 9165137623897645 11280169383258640 14664220198236232 18330275247795290 29328440396472464 36660550495590580 73321100991181160 146642201982362320
- Sum of all divisors σ(n): 378421829192816640
- Sum of proper divisors (its aliquot sum) s(n): 231779627210454320
- 146642201982362320 is an abundant number, because the sum of its proper divisors (231779627210454320) is greater than itself. Its abundance is 85137425228092000
Bases of 146642201982362320
- Binary: 10000010001111101001001110010001100011110101100010110100002
- Hexadecimal: 0x208FA4E463D62D0
- Base-36: 143WBLL2UCWG
Squares and roots of 146642201982362320
- 146642201982362320 squared (1466422019823623202) is 21503935402235947533568367755782400
- 146642201982362320 cubed (1466422019823623203) is 3153384438670355538513625438159861240245991879168000
-
The
square root of 146642201982362320 is 382938901.1087308169 -
The
cube root of 146642201982362320 is 527334.6690089847
Scales and comparisons
How big is 146642201982362320?- 146,642,201,982,362,320 seconds is equal to 4,662,768,428 years, 48 weeks, 1 day, 4 hours, 38 minutes, 40 seconds.
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To count from 1 to 146,642,201,982,362,320 would take you about thirteen billion, nine hundred eighty-eight million, three hundred five thousand, two hundred eighty-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 146642201982362320 cubic inches would be around 43944.6 feet tall.
Recreational maths with 146642201982362320
- 146642201982362320 backwards is 023263289102246641
- The number of decimal digits it has is: 18
- The sum of 146642201982362320's digits is 61
- More coming soon!
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