138803729989778952048
138,803,729,989,778,952,048 is an even composite number composed of six prime numbers multiplied together.
138803729989778952048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138803729989778952048:
24 × 32 × 17 × 12893 × 1657 × 2654075251
(2 × 2 × 2 × 2 × 3 × 3 × 17 × 12893 × 1657 × 2654075251)See below for interesting mathematical facts about the number 138803729989778952048 from the Numbermatics database.
Names of 138803729989778952048
- Cardinal: 138803729989778952048 can be written as One hundred thirty-eight quintillion, eight hundred three quadrillion, seven hundred twenty-nine trillion, nine hundred eighty-nine billion, seven hundred seventy-eight million, nine hundred fifty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38803729989778952048 × 1020
Factors of 138803729989778952048
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 2654089823
Divisors of 138803729989778952048
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1657 2448 3314 4971 6628 9942 12893 13256 14913 19884 25786 26512 28169 29826 38679 39768 51572 56338 59652 77358 79536 84507 103144 112676 116037 119304 154716 169014 206288 219181 225352 232074 238608 253521 309432 338028 438362 450704 464148 507042 618864 657543 676056 876724 928296 1014084 1315086 1352112 1753448 1856592 1972629 2028168 2630172 3506896 3945258 4056336 5260344 7890516 10520688 15781032 21363701 31562064 42727402 64091103 85454804 128182206 170909608 192273309 256364412 341819216 363182917 384546618 512728824 726365834 769093236 1025457648 1089548751 1452731668 1538186472 2179097502 2654075251 2905463336 3076372944 3268646253 4358195004 5308150502 5810926672 6537292506 7962225753 8716390008 10616301004 13074585012 15924451506 17432780016 21232602008 23886677259 26149170024 31848903012 42465204016 45119279267 47773354518 52298340048 63697806024 90238558534 95546709036 127395612048 135357837801 180477117068 191093418072 270715675602 360954234136 382186836144 406073513403 541431351204 721908468272 812147026806 1082862702408 1624294053612 2165725404816 3248588107224 4397802690907 6497176214448 8795605381814 13193408072721 17591210763628 26386816145442 34218992211143 35182421527256 39580224218163 52773632290884 68437984422286 70364843054512 74762645745419 79160448436326 102656976633429 105547264581768 136875968844572 149525291490838 158320896872652 205313953266858 211094529163536 224287937236257 273751937689144 299050582981676 307970929900287 316641793745304 410627906533716 448575874472514 547503875378288 581722867589431 598101165963352 615941859800574 633283587490608 672863811708771 821255813067432 897151748945028 1163445735178862 1196202331926704 1231883719601148 1345727623417542 1642511626134864 1745168602768293 1794303497890056 2326891470357724 2463767439202296 2691455246835084 3490337205536586 3588606995780112 4653782940715448 4927534878404592 5235505808304879 5382910493670168 6980674411073172 9307565881430896 10471011616609758 10765820987340336 13961348822146344 20942023233219516 27922697644292688 41884046466439032 56700870093863951 83768092932878064 113401740187727902 170102610281591853 226803480375455804 340205220563183706 453606960750911608 510307830844775559 680410441126367412 907213921501823216 963914791595687167 1020615661689551118 1360820882252734824 1927829583191374334 2041231323379102236 2721641764505469648 2891744374787061501 3855659166382748668 4082462646758204472 5783488749574123002 7711318332765497336 8164925293516408944 8675233124361184503 11566977499148246004 15422636665530994672 17350466248722369006 23133954998296492008 34700932497444738012 46267909996592984016 69401864994889476024 138803729989778952048
- Sum of all divisors σ(n): 411588257298848282016
- Sum of proper divisors (its aliquot sum) s(n): 272784527309069329968
- 138803729989778952048 is an abundant number, because the sum of its proper divisors (272784527309069329968) is greater than itself. Its abundance is 133980797319290377920
Bases of 138803729989778952048
- Binary: 11110000110010010011110100100000011000101000000001001001111011100002
- Hexadecimal: 0x78649E90314024F70
- Base-36: TAKD3SFQOKJG0
Squares and roots of 138803729989778952048
- 138803729989778952048 squared (1388037299897789520482) is 19266475459075460839611547901237083394304
- 138803729989778952048 cubed (1388037299897789520483) is 2674258657476212746473773100937210977298966764426195892334592
-
The
square root of 138803729989778952048 is 11781499479.6833459797 -
The
cube root of 138803729989778952048 is 5177662.1928605933
Scales and comparisons
How big is 138803729989778952048?- 138,803,729,989,778,952,048 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,803,729,989,778,952,048 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 138803729989778952048 cubic inches would be around 431471.8 feet tall.
Recreational maths with 138803729989778952048
- 138803729989778952048 backwards is 840259877989927308831
- The number of decimal digits it has is: 21
- The sum of 138803729989778952048's digits is 117
- More coming soon!
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