138107536971068857680
138,107,536,971,068,857,680 is an even composite number composed of five prime numbers multiplied together.
138107536971068857680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138107536971068857680:
24 × 32 × 5 × 29 × 6614345640376861
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 6614345640376861)See below for interesting mathematical facts about the number 138107536971068857680 from the Numbermatics database.
Names of 138107536971068857680
- Cardinal: 138107536971068857680 can be written as One hundred thirty-eight quintillion, one hundred seven quadrillion, five hundred thirty-six trillion, nine hundred seventy-one billion, sixty-eight million, eight hundred fifty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3810753697106885768 × 1020
Factors of 138107536971068857680
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 6614345640376900
Divisors of 138107536971068857680
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 6614345640376861 13228691280753722 19843036921130583 26457382561507444 33071728201884305 39686073842261166 52914765123014888 59529110763391749 66143456403768610 79372147684522332 99215184605652915 105829530246029776 119058221526783498 132286912807537220 158744295369044664 191816023570928969 198430369211305830 238116443053566996 264573825615074440 297645553816958745 317488590738089328 383632047141857938 396860738422611660 476232886107133992 529147651230148880 575448070712786907 595291107633917490 767264094283715876 793721476845223320 952465772214267984 959080117854644845 1150896141425573814 1190582215267834980 1534528188567431752 1587442953690446640 1726344212138360721 1918160235709289690 2301792282851147628 2381164430535669960 2877240353563934535 3069056377134863504 3452688424276721442 3836320471418579380 4603584565702295256 4762328861071339920 5754480707127869070 6905376848553442884 7672640942837158760 8631721060691803605 9207169131404590512 11508961414255738140 13810753697106885768 15345281885674317520 17263442121383607210 23017922828511476280 27621507394213771536 34526884242767214420 46035845657022952560 69053768485534428840 138107536971068857680
- Sum of all divisors σ(n): 479804632752937569480
- Sum of proper divisors (its aliquot sum) s(n): 341697095781868711800
- 138107536971068857680 is an abundant number, because the sum of its proper divisors (341697095781868711800) is greater than itself. Its abundance is 203589558810799854120
Bases of 138107536971068857680
- Binary: 11101111100101000001000100100100110011011001010111111011101010100002
- Hexadecimal: 0x77CA089266CAFDD50
- Base-36: T59Y3YM7BNAS0
Squares and roots of 138107536971068857680
- 138107536971068857680 squared (1381075369710688576802) is 19073691768215151384013679315940094982400
- 138107536971068857680 cubed (1381075369710688576803) is 2634220591053545752614225427561086628449019216269867704832000
-
The
square root of 138107536971068857680 is 11751916310.5881952021 -
The
cube root of 138107536971068857680 is 5168991.2066231137
Scales and comparisons
How big is 138107536971068857680?- 138,107,536,971,068,857,680 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,107,536,971,068,857,680 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138107536971068857680 cubic inches would be around 430749.3 feet tall.
Recreational maths with 138107536971068857680
- 138107536971068857680 backwards is 086758860179635701831
- The number of decimal digits it has is: 21
- The sum of 138107536971068857680's digits is 99
- More coming soon!
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