138788305086642243480
138,788,305,086,642,243,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138788305086642243480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
138788305086642243480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138788305086642243480:
23 × 32 × 5 × 7 × 25646167 × 2147483647
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 25646167 × 2147483647)See below for interesting mathematical facts about the number 138788305086642243480 from the Numbermatics database.
Names of 138788305086642243480
- Cardinal: 138788305086642243480 can be written as One hundred thirty-eight quintillion, seven hundred eighty-eight quadrillion, three hundred five trillion, eighty-six billion, six hundred forty-two million, two hundred forty-three thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3878830508664224348 × 1020
Factors of 138788305086642243480
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 2173129831
Divisors of 138788305086642243480
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 25646167 51292334 76938501 102584668 128230835 153877002 179523169 205169336 230815503 256461670 307754004 359046338 384692505 461631006 512923340 538569507 615508008 718092676 769385010 897615845 923262012 1025846680 1077139014 1154077515 1436185352 1538770020 1615708521 1795231690 1846524024 2147483647 2154278028 2308155030 2692847535 3077540040 3231417042 3590463380 4294967294 4308556056 4616310060 5385695070 6442450941 6462834084 7180926760 8078542605 8589934588 9232620120 10737418235 10771390140 12884901882 12925668168 15032385529 16157085210 17179869176 19327352823 21474836470 21542780280 25769803764 30064771058 32212254705 32314170420 38654705646 42949672940 45097156587 51539607528 60129542116 64424509410 64628340840 75161927645 77309411292 85899345880 90194313174 96636764115 120259084232 128849018820 135291469761 150323855290 154618822584 180388626348 193273528230 225485782935 257698037640 270582939522 300647710580 360777252696 386547056460 450971565870 541165879044 601295421160 676457348805 773094112920 901943131740 1082331758088 1352914697610 1803886263480 2705829395220 5411658790440 55074724240731049 110149448481462098 165224172722193147 220298896962924196 275373621203655245 330448345444386294 385523069685117343 440597793925848392 495672518166579441 550747242407310490 660896690888772588 771046139370234686 826120863610965735 991345036333158882 1101494484814620980 1156569209055352029 1321793381777545176 1542092278740469372 1652241727221931470 1927615348425586715 1982690072666317764 2202988969629241960 2313138418110704058 2478362590832897205 3084184557480938744 3304483454443862940 3469707627166056087 3855230696851173430 3965380145332635528 4626276836221408116 4956725181665794410 5782846045276760145 6608966908887725880 6939415254332112174 7710461393702346860 9252553672442816232 9913450363331588820 11565692090553520290 13878830508664224348 15420922787404693720 17348538135830280435 19826900726663177640 23131384181107040580 27757661017328448696 34697076271660560870 46262768362214081160 69394152543321121740 138788305086642243480
- Sum of all divisors σ(n): 515499439233737687040
- Sum of proper divisors (its aliquot sum) s(n): 376711134147095443560
- 138788305086642243480 is an abundant number, because the sum of its proper divisors (376711134147095443560) is greater than itself. Its abundance is 237922829060453200080
Bases of 138788305086642243480
- Binary: 11110000110000100110001110000100100111100111101100111000111100110002
- Hexadecimal: 0x786131C24F3D9C798
- Base-36: TAG58492C65Y0
Squares and roots of 138788305086642243480
- 138788305086642243480 squared (1387883050866422434802) is 19262193628822885235479881155247602510400
- 138788305086642243480 cubed (1387883050866422434803) is 2673367205995047057389155735506801605426587328392336032192000
-
The
square root of 138788305086642243480 is 11780844837.5590722523 -
The
cube root of 138788305086642243480 is 5177470.3923079151
Scales and comparisons
How big is 138788305086642243480?- 138,788,305,086,642,243,480 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,788,305,086,642,243,480 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 138788305086642243480 cubic inches would be around 431455.9 feet tall.
Recreational maths with 138788305086642243480
- 138788305086642243480 backwards is 084342246680503887831
- 138788305086642243480 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138788305086642243480's digits is 90
- More coming soon!
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