138646106481424129000
138,646,106,481,424,129,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138646106481424129000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138646106481424129000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138646106481424129000:
23 × 53 × 74 × 372 × 596
(2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 37 × 37 × 59 × 59 × 59 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138646106481424129000 from the Numbermatics database.
Names of 138646106481424129000
- Cardinal: 138646106481424129000 can be written as One hundred thirty-eight quintillion, six hundred forty-six quadrillion, one hundred six trillion, four hundred eighty-one billion, four hundred twenty-four million, one hundred twenty-nine thousand.
Scientific notation
- Scientific notation: 1.38646106481424129 × 1020
Factors of 138646106481424129000
Divisors of 138646106481424129000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 7 8 10 14 20 25 28 35 37 40 49 50 56 59 70 74 98 100 118 125 140 148 175 185 196 200 236 245 250 259 280 295 296 343 350 370 392 413 472 490 500 518 590 686 700 740 826 875 925 980 1000 1036 1180 1225 1295 1369 1372 1400 1475 1480 1652 1715 1750 1813 1850 1960 2065 2072 2183 2360 2401 2450 2590 2738 2744 2891 2950 3304 3430 3481 3500 3626 3700 4130 4366 4625 4802 4900 5180 5476 5782 5900 6125 6475 6845 6860 6962 7000 7252 7375 7400 8260 8575 8732 9065 9250 9583 9604 9800 10325 10360 10915 10952 11564 11800 12005 12250 12691 12950 13690 13720 13924 14455 14504 14750 15281 16520 17150 17405 17464 18130 18500 19166 19208 20237 20650 21830 23128 24010 24367 24500 25382 25900 27380 27848 28910 29500 30562 32375 34225 34300 34810 36260 37000 38332 40474 41300 42875 43660 45325 47915 48020 48734 49000 50764 51625 51800 54575 54760 57820 59000 60025 61124 63455 64750 67081 68450 68600 69620 72275 72520 76405 76664 80771 80948 82600 85750 87025 87320 88837 90650 95830 96040 97468 101185 101528 103250 106967 109150 115640 120050 121835 122248 126910 128797 129500 134162 136900 139240 141659 144550 152810 161542 161896 170569 171125 171500 174050 177674 181300 191660 194936 202370 205379 206500 213934 218300 226625 239575 240100 243670 253820 257594 259000 268324 272875 273800 283318 289100 300125 305620 317275 323084 335405 341138 342250 343000 348100 355348 361375 362600 382025 383320 403855 404740 410758 413000 427868 435125 436600 444185 453250 469567 479150 480200 487340 505925 507640 515188 534835 536648 545750 565397 566636 578200 600250 609175 611240 634550 643985 646168 670810 682276 684500 696200 708295 710696 722750 748769 764050 807710 809480 821516 852845 855736 870250 888370 901579 906500 939134 958300 974680 1011850 1026895 1030376 1069670 1091500 1130794 1133272 1193983 1197875 1200500 1218350 1269100 1287970 1341620 1364552 1369000 1416590 1437653 1445500 1497538 1528100 1586375 1615420 1643032 1677025 1705690 1740500 1776740 1803158 1813000 1878268 1910125 1916600 2019275 2023700 2053790 2139340 2183000 2220925 2261588 2347835 2387966 2395750 2401000 2436700 2529625 2538200 2575940 2674175 2683240 2826985 2833180 2875306 2891000 2995076 3045875 3056200 3172750 3219925 3230840 3286969 3354050 3411380 3481000 3541475 3553480 3606316 3743845 3756536 3820250 3957779 4038550 4047400 4107580 4264225 4278680 4441850 4507895 4523176 4695670 4765489 4775932 4791500 4873400 5059250 5134475 5151880 5241383 5348350 5653970 5666360 5750612 5969915 5990152 6091750 6311053 6345500 6439850 6573938 6708100 6822760 7082950 7188265 7212632 7487690 7599023 7640500 7915558 8077100 8215160 8357881 8385125 8528450 8883700 9015790 9391340 9530978 9551864 9583000 10063571 10096375 10118500 10268950 10482766 10696700 11104625 11307940 11501224 11739175 11939830 12117361 12183500 12622106 12691000 12879700 13147876 13370875 13416200 14134925 14165900 14376530 14975380 15198046 15281000 15831116 16099625 16154200 16434845 16715762 16770250 17056900 17707375 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7938966243782875 7965877993761800 8084321077634060 8392621457713325 9073104278609000 9399736032638924 9559163436391625 9591567380243800 9957347492202250 10105401347042575 10127546127204100 10706263048758620 10924758213019000 11318049508687684 11549030110905800 11749670040798655 11989459225304750 12659432659005125 12702345990052600 13382828810948275 13428194332341320 14147561885859605 14436287638632250 14467923038863000 14988768268262068 15294661498226600 15877932487565750 16168642155268120 16785242915426650 18735960335327585 18799472065277848 19118326872783250 19806586640203447 19914694984404500 20210802694085150 20255092254408200 21412526097517240 22636099017375368 23499340081597310 23978918450609500 25318865318010250 26765657621896550 28295123771719210 28872575277264500 29977536536524136 31755864975131500 33570485830853300 37471920670655170 38236653745566500 39613173280406894 39829389968809000 40421605388170300 41963107288566625 46998680163194620 47957836901219000 50527006735212875 50637730636020500 53531315243793100 56590247543438420 57745150554529000 58748350203993275 63511729950263000 66914144054741375 67140971661706600 70737809429298025 74943841341310340 76473307491133000 79226346560813788 80843210776340600 83926214577133250 93679801676637925 93997360326389240 99032933201017235 101054013470425750 101275461272041000 107062630487586200 113180495086876840 117496700407986550 133828288109482750 138646106481424129 141475618858596050 149887682682620680 158452693121627576 167852429154266500 187359603353275850 198065866402034470 202108026940851500 234993400815973100 267656576218965500 277292212962848258 282951237717192100 293741751019966375 335704858308533000 353689047146490125 374719206706551700 396131732804068940 404216053881703000 468399008383189625 469986801631946200 495164666005086175 535313152437931000 554584425925696516 565902475434384200 587483502039932750 693230532407120645 707378094292980250 749438413413103400 792263465608137880 936798016766379250 990329332010172350 1109168851851393032 1174967004079865500 1386461064814241290 1414756188585960500 1873596033532758500 1980658664020344700 2349934008159731000 2475823330025430875 2772922129628482580 2829512377171921000 3466152662035603225 3747192067065517000 3961317328040689400 4951646660050861750 5545844259256965160 6932305324071206450 9903293320101723500 13864610648142412900 17330763310178016125 19806586640203447000 27729221296284825800 34661526620356032250 69323053240712064500 138646106481424129000
- Sum of all divisors σ(n): 395693714448514279980
- Sum of proper divisors (its aliquot sum) s(n): 257047607967090150980
- 138646106481424129000 is an abundant number, because the sum of its proper divisors (257047607967090150980) is greater than itself. Its abundance is 118401501485666021980
Bases of 138646106481424129000
- Binary: 11110000100000110011110101101000100001011000100010011011011111010002
- Hexadecimal: 0x78419EB442C44DBE8
- Base-36: T9D92X3NGHQEG
Squares and roots of 138646106481424129000
- 138646106481424129000 squared (1386461064814241290002) is 19222742842458397872352539983408641000000
- 138646106481424129000 cubed (1386461064814241290003) is 2665158451000520561921883142341687423852125444498689000000000
-
The
square root of 138646106481424129000 is 11774808129.2827922241 -
The
cube root of 138646106481424129000 is 5175701.5577484779 - Being both a perfect square and a perfect cube, 138646106481424129000 is also a
perfect sixth number .
Scales and comparisons
How big is 138646106481424129000?- 138,646,106,481,424,129,000 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 138,646,106,481,424,129,000 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 138646106481424129000 cubic inches would be around 431308.5 feet tall.
Recreational maths with 138646106481424129000
- 138646106481424129000 backwards is 000921424184601646831
- 138646106481424129000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138646106481424129000's digits is 70
- More coming soon!
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The information we have on file for 138646106481424129000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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