138740538224066391360
138,740,538,224,066,391,360 is an even composite number composed of five prime numbers multiplied together.
What does the number 138740538224066391360 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 224 divisors.
138740538224066391360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138740538224066391360:
26 × 33 × 5 × 11 × 1459812060438409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 1459812060438409)See below for interesting mathematical facts about the number 138740538224066391360 from the Numbermatics database.
Names of 138740538224066391360
- Cardinal: 138740538224066391360 can be written as One hundred thirty-eight quintillion, seven hundred forty quadrillion, five hundred thirty-eight trillion, two hundred twenty-four billion, sixty-six million, three hundred ninety-one thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3874053822406639136 × 1020
Factors of 138740538224066391360
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1459812060438430
Divisors of 138740538224066391360
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 192 198 216 220 240 264 270 288 297 320 330 352 360 396 432 440 480 495 528 540 576 594 660 704 720 792 864 880 960 990 1056 1080 1188 1320 1440 1485 1584 1728 1760 1980 2112 2160 2376 2640 2880 2970 3168 3520 3960 4320 4752 5280 5940 6336 7920 8640 9504 10560 11880 15840 19008 23760 31680 47520 95040 1459812060438409 2919624120876818 4379436181315227 5839248241753636 7299060302192045 8758872362630454 11678496483507272 13138308543945681 14598120604384090 16057932664822499 17517744725260908 21897180906576135 23356992967014544 26276617087891362 29196241208768180 32115865329644998 35035489450521816 39414925631837043 43794361813152270 46713985934029088 48173797994467497 52553234175782724 58392482417536360 64231730659289996 65691542719728405 70070978901043632 78829851263674086 80289663324112495 87588723626304540 93427971868058176 96347595988934994 105106468351565448 116784964835072720 128463461318579992 131383085439456810 140141957802087264 144521393983402491 157659702527348172 160579326648224990 175177447252609080 192695191977869988 197074628159185215 210212936703130896 233569929670145440 240868989972337485 256926922637159984 262766170878913620 280283915604174528 289042787966804982 315319405054696344 321158653296449980 350354894505218160 385390383955739976 394149256318370430 420425873406261792 433564181950207473 467139859340290880 481737979944674970 513853845274319968 525532341757827240 578085575933609964 630638810109392688 642317306592899960 700709789010436320 722606969917012455 770780767911479952 788298512636740860 840851746812523584 867128363900414946 963475959889349940 1027707690548639936 1051064683515654480 1156171151867219928 1261277620218785376 1284634613185799920 1401419578020872640 1445213939834024910 1541561535822959904 1576597025273481720 1734256727800829892 1926951919778699880 2102129367031308960 2167820909751037365 2312342303734439856 2522555240437570752 2569269226371599840 2890427879668049820 3083123071645919808 3153194050546963440 3468513455601659784 3853903839557399760 4204258734062617920 4335641819502074730 4624684607468879712 5138538452743199680 5780855759336099640 6306388101093926880 6937026911203319568 7707807679114799520 8671283639004149460 9249369214937759424 11561711518672199280 12612776202187853760 13874053822406639136 15415615358229599040 17342567278008298920 23123423037344398560 27748107644813278272 34685134556016597840 46246846074688797120 69370269112033195680 138740538224066391360
- Sum of all divisors σ(n): 533940859225952841600
- Sum of proper divisors (its aliquot sum) s(n): 395200321001886450240
- 138740538224066391360 is an abundant number, because the sum of its proper divisors (395200321001886450240) is greater than itself. Its abundance is 256459782777820058880
Bases of 138740538224066391360
- Binary: 11110000101011010010110100001101111100101111111101101101101010000002
- Hexadecimal: 0x78569686F97FB6D40
- Base-36: TA32W6FC2CPC0
Squares and roots of 138740538224066391360
- 138740538224066391360 squared (1387405382240663913602) is 19248936946703627420215651097092682649600
- 138740538224066391360 cubed (1387405382240663913603) is 2670607872226778433996329952700596280987151873557555347456000
-
The
square root of 138740538224066391360 is 11778817352.5217034567 -
The
cube root of 138740538224066391360 is 5176876.3463507823
Scales and comparisons
How big is 138740538224066391360?- 138,740,538,224,066,391,360 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,740,538,224,066,391,360 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 138740538224066391360 cubic inches would be around 431406.4 feet tall.
Recreational maths with 138740538224066391360
- 138740538224066391360 backwards is 063193660422835047831
- The number of decimal digits it has is: 21
- The sum of 138740538224066391360's digits is 81
- More coming soon!
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