138433461350625
138,433,461,350,625 is an odd composite number composed of five prime numbers multiplied together.
138433461350625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 138433461350625:
32 × 54 × 72 × 732 × 3072
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 73 × 73 × 307 × 307)See below for interesting mathematical facts about the number 138433461350625 from the Numbermatics database.
Names of 138433461350625
- Cardinal: 138433461350625 can be written as One hundred thirty-eight trillion, four hundred thirty-three billion, four hundred sixty-one million, three hundred fifty thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38433461350625 × 1014
Factors of 138433461350625
Divisors of 138433461350625
- Number of divisors d(n): 405
-
Complete list of divisors:
1 3 5 7 9 15 21 25 35 45 49 63 73 75 105 125 147 175 219 225 245 307 315 365 375 441 511 525 625 657 735 875 921 1095 1125 1225 1533 1535 1575 1825 1875 2149 2205 2555 2625 2763 3285 3577 3675 4375 4599 4605 5329 5475 5625 6125 6447 7665 7675 7875 9125 10731 10745 11025 12775 13125 13815 15043 15987 16425 17885 18375 19341 22411 22995 23025 26645 27375 30625 32193 32235 37303 38325 38375 39375 45129 45625 47961 53655 53725 55125 63875 67233 69075 75215 79935 82125 89425 91875 94249 96705 111909 112055 114975 115125 133225 135387 136875 156877 160965 161175 186515 191625 191875 201699 225645 239805 261121 268275 268625 275625 282747 319375 335727 336165 345375 376075 399675 410625 447125 470631 471245 483525 559545 560275 574875 575625 659743 666125 676935 783363 784385 804825 805875 848241 932575 958125 1008495 1098139 1128225 1199025 1305605 1341375 1343125 1411893 1413735 1636003 1678635 1680825 1726875 1880375 1979229 1998375 2235625 2350089 2353155 2356225 2417625 2797725 2801375 2874375 3294417 3298715 3330625 3384675 3916815 3921925 4024125 4029375 4241205 4618201 4662875 4908009 5042475 5490695 5641125 5937687 5995125 6528025 6706875 6880177 7059465 7068675 8180015 8393175 8404125 9401875 9883251 9896145 9991875 11452021 11750445 11765775 11781125 12088125 13854603 13988625 14006875 14724027 16472085 16493575 16923375 19584075 19609625 20120625 20640531 21206025 23091005 23314375 24540045 25212375 27453475 28205625 29688435 29975625 32640125 34356063 34400885 35297325 35343375 40900075 41563809 41965875 42020625 48161239 49416255 49480725 57260105 58752225 58828875 58905625 61921593 69273015 69943125 73620135 80164147 82360425 82467875 84616875 97920375 98048125 103068189 103202655 106030125 115455025 122700225 126061875 137267375 144483717 148442175 163200625 171780315 172004425 176486625 176716875 204500375 207819045 209829375 240492441 240806195 247081275 247403625 286300525 293761125 294144375 309607965 337128673 346365075 368100675 400820735 411802125 412339375 433451151 489601875 502252921 515340945 516013275 530150625 577275125 613501125 686336875 721477323 722418585 742210875 858901575 860022125 882433125 1011386019 1022501875 1039095225 1202462205 1204030975 1235406375 1237018125 1431502625 1468805625 1506758763 1548039825 1685643365 1731825375 1840503375 2004103675 2059010625 2167255755 2511264605 2576704725 2580066375 2886375625 3034158057 3067505625 3515770447 3607386615 3612092925 3711054375 4294507875 4300110625 4520276289 5056930095 5195476125 6012311025 6020154875 6177031875 7157513125 7533793815 7740199125 8428216825 8659126875 9202516875 10020518375 10547311341 10836278775 12556323025 12883523625 12900331875 15170790285 17578852235 18036933075 18060464625 21472539375 22601381445 24610393129 25284650475 25977380625 30061555125 30100774375 31641934023 37668969075 38700995625 42141084125 50102591875 52736556705 54181393875 62781615125 64417618125 73831179387 75853951425 87894261175 90184665375 90302323125 113006907225 123051965645 126423252375 150307775625 158209670115 188344845375 210705420625 221493538161 263682783525 270906969375 313908075625 369155896935 379269757125 439471305875 450923326875 565034536125 615259828225 632116261875 791048350575 941724226875 1107467690805 1318413917625 1845779484675 1896348785625 2197356529375 2825172680625 3076299141125 3955241752875 5537338454025 6592069588125 9228897423375 15381495705625 19776208764375 27686692270125 46144487116875 138433461350625
- Sum of all divisors σ(n): 295663622988591
- Sum of proper divisors (its aliquot sum) s(n): 157230161637966
- 138433461350625 is an abundant number, because the sum of its proper divisors (157230161637966) is greater than itself. Its abundance is 18796700287341
Bases of 138433461350625
- Binary: 111110111100111100011010100100111110000111000012
- Hexadecimal: 0x7DE78D49F0E1
- Base-36: 1D2JGCN469
Squares and roots of 138433461350625
- 138433461350625 squared (1384334613506252) is 19163823221514985649187890625
- 138433461350625 cubed (1384334613506253) is 2652914381265804643826103381754707275390625
-
138433461350625 is a
perfect square number . Itssquare root is 11765775 -
The
cube root of 138433461350625 is 51730.5416790769
Scales and comparisons
How big is 138433461350625?- 138,433,461,350,625 seconds is equal to 4,401,755 years, 45 weeks, 1 day, 3 minutes, 45 seconds.
-
To count from 1 to 138,433,461,350,625 would take you about eleven million, four thousand, three hundred eighty-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 138433461350625 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138433461350625
- 138433461350625 backwards is 526053164334831
- The number of decimal digits it has is: 15
- The sum of 138433461350625's digits is 54
- More coming soon!
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