138805936695746776048
138,805,936,695,746,776,048 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138805936695746776048 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138805936695746776048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138805936695746776048:
24 × 192 × 31 × 37 × 43 × 103 × 4730551321
(2 × 2 × 2 × 2 × 19 × 19 × 31 × 37 × 43 × 103 × 4730551321)See below for interesting mathematical facts about the number 138805936695746776048 from the Numbermatics database.
Names of 138805936695746776048
- Cardinal: 138805936695746776048 can be written as One hundred thirty-eight quintillion, eight hundred five quadrillion, nine hundred thirty-six trillion, six hundred ninety-five billion, seven hundred forty-six million, seven hundred seventy-six thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38805936695746776048 × 1020
Factors of 138805936695746776048
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 4730551556
Divisors of 138805936695746776048
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 8 16 19 31 37 38 43 62 74 76 86 103 124 148 152 172 206 248 296 304 344 361 412 496 589 592 688 703 722 817 824 1147 1178 1333 1406 1444 1591 1634 1648 1957 2294 2356 2666 2812 2888 3182 3193 3268 3811 3914 4429 4588 4712 5332 5624 5776 6364 6386 6536 7622 7828 8858 9176 9424 10664 11191 11248 12728 12772 13072 13357 15244 15523 15656 17716 18352 21328 21793 22382 25327 25456 25544 26714 30229 30488 31046 31312 35432 37183 43586 44764 49321 50654 51088 53428 60458 60667 60976 62092 70864 72409 74366 84151 87172 89528 98642 101308 106856 118141 120916 121334 124184 137299 144818 148732 163873 168302 174344 179056 197284 202616 213712 236282 241832 242668 248368 274598 289636 297464 327746 336604 348688 394568 405232 414067 472564 481213 483664 485336 549196 574351 579272 594928 655492 673208 789136 828134 937099 945128 962426 970672 1098392 1148702 1152673 1158544 1310984 1346416 1375771 1598869 1656268 1874198 1890256 1924852 2196784 2244679 2297404 2305346 2608681 2621968 2751542 3113587 3197738 3312536 3748396 3849704 4489358 4594808 4610692 5080063 5217362 5503084 6227174 6395476 6625072 7496792 7699408 8978716 9189616 9221384 10160126 10434724 11006168 12454348 12790952 14993584 17804881 17957432 18442768 20320252 20869448 22012336 24908696 25581904 35609762 35914864 40640504 41738896 42648901 49564939 49817392 59158153 71219524 81281008 85297802 96521197 99129878 118316306 142439048 170595604 193042394 198259756 236632612 284878096 341191208 386084788 396519512 473265224 682382416 772169576 793039024 946530448 1544339152 1833902743 3667805486 4730551321 7335610972 9461102642 14671221944 18922205284 29342443888 37844410568 75688821136 89880475099 146647090951 175030398877 179760950198 203413706803 293294181902 350060797754 359521900396 406827413606 487246786063 586588363804 700121595508 719043800792 813654827212 974493572126 1173176727608 1400243191016 1438087601584 1627309654424 1707729026881 1948987144252 2346353455216 2786294728069 2800486382032 3254619308848 3325577578663 3415458053762 3864860429257 3897974288504 5425942365187 5572589456138 6305824910893 6651155157326 6830916107524 7526307151711 7729720858514 7795948577008 9257688935197 10851884730374 11145178912276 12611649821786 13302310314652 13661832215048 15052614303422 15104650367953 15459441717028 18028131084331 18515377870394 20951611800709 21703769460748 22290357824552 25223299643572 26604620629304 27323664430096 30105228606844 30209300735906 30918883434056 36056262168662 37030755740788 41903223601418 43407538921496 44580715649104 50446599287144 52939599833311 53209241258608 60210457213688 60418601471812 61837766868112 63185973994597 72112524337324 73432348155883 74061511481576 83806447202836 86815077842992 100893198574288 103092904938553 105879199666622 119810673306967 120420914427376 120837202943624 126371947989194 142999835882509 144225048674648 146864696311766 148123022963152 167612894405672 175896089768743 206185809877106 211758399333244 233315521703041 239621346613934 241674405887248 252743895978388 285999671765018 286988356991107 288450097349296 293729392623532 335225788811344 342534490602289 351792179537486 398080624213471 412371619754212 423516798666488 466631043406082 479242693227868 505487791956776 558872063614261 571999343530036 573976713982214 587458785247064 649499965821979 685068981204578 703584359074972 775209636626233 796161248426942 824743239508424 847033597332976 933262086812164 958485386455736 1010975583913552 1117744127228522 1143998687060072 1147953427964428 1174917570494128 1298999931643958 1370137962409156 1407168718149944 1550419273252466 1592322496853884 1649486479016848 1866524173624328 1916970772911472 1958765193832507 2235488254457044 2276402792832373 2287997374120144 2295906855928856 2597999863287916 2716996881767671 2740275924818312 2814337436299888 3100838546504932 3184644993707768 3733048347248656 3917530387665014 4432994912357779 4470976508914088 4552805585664746 4591813711857712 5195999726575832 5433993763535342 5452778782831033 5480551849636624 6201677093009864 6369289987415536 6508155321443491 7563531860055949 7835060775330028 8865989824715558 8941953017828176 9105611171329492 10391999453151664 10618569208670959 10867987527070684 10905557565662066 12340499350617601 12403354186019728 13016310642886982 14728983095898427 15127063720111898 15670121550660056 17731979649431116 18211222342658984 21237138417341918 21735975054141368 21811115131324132 24031498735413223 24680998701235202 26032621285773964 29457966191796854 30254127440223796 31340243101320112 35463959298862232 36422444685317968 42474276834683836 43471950108282736 43622230262648264 48062997470826446 49361997402470404 52065242571547928 58915932383593708 60508254880447592 70927918597724464 84226903334797801 84948553669367672 87244460525296528 96125994941652892 98723994804940808 104130485143095856 117831864767187416 121016509760895184 168453806669595602 169897107338735344 192251989883305784 197447989609881616 201752814964748221 234469487661734419 235663729534374832 279850678822070113 336907613339191204 384503979766611568 403505629929496442 456598475972851237 468938975323468838 559701357644140226 673815226678382408 807011259858992884 913196951945702474 937877950646937676 1119402715288280452 1347630453356764816 1614022519717985768 1826393903891404948 1875755901293875352 2238805430576560904 3228045039435971536 3652787807782809896 3751511802587750704 4477610861153121808 7305575615565619792 8675371043484173503 17350742086968347006 34701484173936694012 69402968347873388024 138805936695746776048
- Sum of all divisors σ(n): 310898064796618371072
- Sum of proper divisors (its aliquot sum) s(n): 172092128100871595024
- 138805936695746776048 is an abundant number, because the sum of its proper divisors (172092128100871595024) is greater than itself. Its abundance is 33286191405124818976
Bases of 138805936695746776048
- Binary: 11110000110010100011011111111111111110110010101100001001011111100002
- Hexadecimal: 0x78651BFFFD9584BF0
- Base-36: TAKYU02GUCPV4
Squares and roots of 138805936695746776048
- 138805936695746776048 squared (1388059366957467760482) is 19267088061983661420713618237185866498304
- 138805936695746776048 cubed (1388059366957467760483) is 2674386205843082543167284392471549461279252736890339059822592
-
The
square root of 138805936695746776048 is 11781593130.6316454397 -
The
cube root of 138805936695746776048 is 5177689.6309261113
Scales and comparisons
How big is 138805936695746776048?- 138,805,936,695,746,776,048 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,805,936,695,746,776,048 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 138805936695746776048 cubic inches would be around 431474.1 feet tall.
Recreational maths with 138805936695746776048
- 138805936695746776048 backwards is 840677647596639508831
- The number of decimal digits it has is: 21
- The sum of 138805936695746776048's digits is 112
- More coming soon!
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The information we have on file for 138805936695746776048 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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