12538248642120438944000
12,538,248,642,120,438,944,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12538248642120438944000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
12538248642120438944000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12538248642120438944000:
28 × 53 × 7 × 109 × 513525910964959
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 109 × 513525910964959)See below for interesting mathematical facts about the number 12538248642120438944000 from the Numbermatics database.
Names of 12538248642120438944000
- Cardinal: 12538248642120438944000 can be written as Twelve sextillion, five hundred thirty-eight quintillion, two hundred forty-eight quadrillion, six hundred forty-two trillion, one hundred twenty billion, four hundred thirty-eight million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.2538248642120438944 × 1022
Factors of 12538248642120438944000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 513525910965082
Divisors of 12538248642120438944000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 109 112 125 128 140 160 175 200 218 224 250 256 280 320 350 400 436 448 500 545 560 640 700 763 800 872 875 896 1000 1090 1120 1280 1400 1526 1600 1744 1750 1792 2000 2180 2240 2725 2800 3052 3200 3488 3500 3815 4000 4360 4480 5450 5600 6104 6400 6976 7000 7630 8000 8720 8960 10900 11200 12208 13625 13952 14000 15260 16000 17440 19075 21800 22400 24416 27250 27904 28000 30520 32000 34880 38150 43600 44800 48832 54500 56000 61040 69760 76300 87200 95375 97664 109000 112000 122080 139520 152600 174400 190750 195328 218000 224000 244160 305200 348800 381500 436000 488320 610400 697600 763000 872000 976640 1220800 1526000 1744000 2441600 3052000 3488000 4883200 6104000 12208000 24416000 513525910964959 1027051821929918 2054103643859836 2567629554824795 3594681376754713 4108207287719672 5135259109649590 7189362753509426 8216414575439344 10270518219299180 12838147774123975 14378725507018852 16432829150878688 17973406883773565 20541036438598360 25676295548247950 28757451014037704 32865658301757376 35946813767547130 41082072877196720 51352591096495900 55974324295180531 57514902028075408 64190738870619875 65731316603514752 71893627535094260 82164145754393440 89867034418867825 102705182192991800 111948648590361062 115029804056150816 128381477741239750 131462633207029504 143787255070188520 164328291508786880 179734068837735650 205410364385983600 223897297180722124 230059608112301632 256762955482479500 279871621475902655 287574510140377040 328656583017573760 359468137675471300 391820270066263717 410820728771967200 447794594361444248 449335172094339125 460119216224603264 513525910964959000 559743242951805310 575149020280754080 657313166035147520 718936275350942600 783640540132527434 821641457543934400 895589188722888496 898670344188678250 920238432449206528 1027051821929918000 1119486485903610620 1150298040561508160 1399358107379513275 1437872550701885200 1567281080265054868 1643282915087868800 1791178377445776992 1797340688377356500 1959101350331318585 2054103643859836000 2238972971807221240 2300596081123016320 2798716214759026550 2875745101403770400 3134562160530109736 3286565830175737600 3582356754891553984 3594681376754713000 3918202700662637170 4108207287719672000 4477945943614442480 4601192162246032640 5597432429518053100 5751490202807540800 6269124321060219472 6996790536897566375 7164713509783107968 7189362753509426000 7836405401325274340 8216414575439344000 8955891887228884960 9795506751656592925 11194864859036106200 11502980405615081600 12538248642120438944 13993581073795132750 14329427019566215936 14378725507018852000 15672810802650548680 16432829150878688000 17911783774457769920 19591013503313185850 22389729718072212400 23005960811230163200 25076497284240877888 27987162147590265500 28757451014037704000 31345621605301097360 35823567548915539840 39182027006626371700 44779459436144424800 48977533758282964625 50152994568481755776 55974324295180531000 57514902028075408000 62691243210602194720 71647135097831079680 78364054013252743400 89558918872288849600 97955067516565929250 100305989136963511552 111948648590361062000 115029804056150816000 125382486421204389440 156728108026505486800 179117837744577699200 195910135033131858500 223897297180722124000 250764972842408778880 313456216053010973600 358235675489155398400 391820270066263717000 447794594361444248000 501529945684817557760 626912432106021947200 783640540132527434000 895589188722888496000 1253824864212043894400 1567281080265054868000 1791178377445776992000 2507649728424087788800 3134562160530109736000 6269124321060219472000 12538248642120438944000
- Sum of all divisors σ(n): 36023883736264821196800
- Sum of proper divisors (its aliquot sum) s(n): 23485635094144382252800
- 12538248642120438944000 is an abundant number, because the sum of its proper divisors (23485635094144382252800) is greater than itself. Its abundance is 10947386452023943308800
Bases of 12538248642120438944000
- Binary: 101010011110110011001001110111010110000101001010001001111010010001000000002
- Hexadecimal: 0x2A7B3277585289E9100
- Base-36: 21I3QGP2LG5PSE8
Squares and roots of 12538248642120438944000
- 12538248642120438944000 squared (125382486421204389440002) is 157207679011635031016118333635231835136000000
- 12538248642120438944000 cubed (125382486421204389440003) is 1971108967898538756686325863662237019331186888730961936384000000000
-
The
square root of 12538248642120438944000 is 111974321351.4618223069 -
The
cube root of 12538248642120438944000 is 23231591.3278815531
Scales and comparisons
How big is 12538248642120438944000?- 12,538,248,642,120,438,944,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,538,248,642,120,438,944,000 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 12538248642120438944000 cubic inches would be around 1935965.9 feet tall.
Recreational maths with 12538248642120438944000
- 12538248642120438944000 backwards is 00044983402124684283521
- 12538248642120438944000 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 12538248642120438944000's digits is 80
- More coming soon!
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The information we have on file for 12538248642120438944000 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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