138938694364767744000
138,938,694,364,767,744,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138938694364767744000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1872 divisors.
138938694364767744000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 138938694364767744000:
212 × 311 × 53 × 391392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 39139 × 39139)See below for interesting mathematical facts about the number 138938694364767744000 from the Numbermatics database.
Names of 138938694364767744000
- Cardinal: 138938694364767744000 can be written as One hundred thirty-eight quintillion, nine hundred thirty-eight quadrillion, six hundred ninety-four trillion, three hundred sixty-four billion, seven hundred sixty-seven million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38938694364767744 × 1020
Factors of 138938694364767744000
Divisors of 138938694364767744000
- Number of divisors d(n): 1872
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 576 600 640 648 675 720 729 750 768 800 810 864 900 960 972 1000 1024 1080 1125 1152 1200 1215 1280 1296 1350 1440 1458 1500 1536 1600 1620 1728 1800 1920 1944 2000 2025 2048 2160 2187 2250 2304 2400 2430 2560 2592 2700 2880 2916 3000 3072 3200 3240 3375 3456 3600 3645 3840 3888 4000 4050 4096 4320 4374 4500 4608 4800 4860 5120 5184 5400 5760 5832 6000 6075 6144 6400 6480 6561 6750 6912 7200 7290 7680 7776 8000 8100 8640 8748 9000 9216 9600 9720 10125 10240 10368 10800 10935 11520 11664 12000 12150 12288 12800 12960 13122 13500 13824 14400 14580 15360 15552 16000 16200 17280 17496 18000 18225 18432 19200 19440 19683 20250 20480 20736 21600 21870 23040 23328 24000 24300 25600 25920 26244 27000 27648 28800 29160 30375 30720 31104 32000 32400 32805 34560 34992 36000 36450 36864 38400 38880 39139 39366 40500 41472 43200 43740 46080 46656 48000 48600 51200 51840 52488 54000 54675 55296 57600 58320 59049 60750 61440 62208 64000 64800 65610 69120 69984 72000 72900 76800 77760 78278 78732 81000 82944 86400 87480 91125 92160 93312 96000 97200 98415 102400 103680 104976 108000 109350 110592 115200 116640 117417 118098 121500 124416 128000 129600 131220 138240 139968 144000 145800 153600 155520 156556 157464 162000 164025 165888 172800 174960 177147 182250 184320 186624 192000 194400 195695 196830 207360 209952 216000 218700 230400 233280 234834 236196 243000 248832 256000 259200 262440 273375 276480 279936 288000 291600 295245 307200 311040 313112 314928 324000 328050 331776 345600 349920 352251 354294 364500 373248 384000 388800 391390 393660 414720 419904 432000 437400 460800 466560 469668 472392 486000 492075 497664 512000 518400 524880 546750 552960 559872 576000 583200 587085 590490 622080 626224 629856 648000 656100 691200 699840 704502 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115782245303973120 120606505524972000 123501061657571328 128646939226636800 135682318715593500 138938694364767744 142941043585152000 144727806629966400 154376327071964160 160808674033296000 171529252302182400 173673367955959680 180909758287458000 185251592486356992 190588058113536000 192970408839955200 205835102762618880 214411565377728000 217091709944949600 231564490607946240 241213011049944000 257293878453273600 271364637431187000 277877388729535488 285882087170304000 289455613259932800 308752654143928320 321617348066592000 343058504604364800 347346735911919360 361819516574916000 370503184972713984 385940817679910400 428823130755456000 434183419889899200 463128981215892480 482426022099888000 514587756906547200 542729274862374000 555754777459070976 571764174340608000 578911226519865600 617505308287856640 643234696133184000 694693471823838720 723639033149832000 771881635359820800 857646261510912000 868366839779798400 926257962431784960 964852044199776000 1029175513813094400 1085458549724748000 1111509554918141952 1157822453039731200 1286469392266368000 1389386943647677440 1447278066299664000 1543763270719641600 1715292523021824000 1736733679559596800 1852515924863569920 1929704088399552000 2170917099449496000 2315644906079462400 2572938784532736000 2778773887295354880 2894556132599328000 3087526541439283200 3473467359119193600 3859408176799104000 4341834198898992000 4631289812158924800 5145877569065472000 5557547774590709760 5789112265198656000 6946934718238387200 7718816353598208000 8683668397797984000 9262579624317849600 11578224530397312000 13893869436476774400 15437632707196416000 17367336795595968000 23156449060794624000 27787738872953548800 34734673591191936000 46312898121589248000 69469347182383872000 138938694364767744000
- Sum of all divisors σ(n): 520135283110602388320
- Sum of proper divisors (its aliquot sum) s(n): 381196588745834644320
- 138938694364767744000 is an abundant number, because the sum of its proper divisors (381196588745834644320) is greater than itself. Its abundance is 242257894381066900320
Bases of 138938694364767744000
- Binary: 11110001000001010010110011001100101011000001000110001110000000000002
- Hexadecimal: 0x788296665608C7000
- Base-36: TBLA0O1O00000
Squares and roots of 138938694364767744000
- 138938694364767744000 squared (1389386943647677440002) is 19303960791786344062428179062849536000000
- 138938694364767744000 cubed (1389386943647677440003) is 2682067108479462799352784121450180489129643458166784000000000
-
The
square root of 138938694364767744000 is 11787225897.7576120771 -
The
cube root of 138938694364767744000 is 5179339.7980512161
Scales and comparisons
How big is 138938694364767744000?- 138,938,694,364,767,744,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,938,694,364,767,744,000 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 138938694364767744000 cubic inches would be around 431611.6 feet tall.
Recreational maths with 138938694364767744000
- 138938694364767744000 backwards is 000447767463496839831
- The number of decimal digits it has is: 21
- The sum of 138938694364767744000's digits is 99
- More coming soon!
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The information we have on file for 138938694364767744000 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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