138437191973376000
138,437,191,973,376,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138437191973376000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
138437191973376000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138437191973376000:
212 × 32 × 53 × 17 × 29 × 449 × 135721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 29 × 449 × 135721)See below for interesting mathematical facts about the number 138437191973376000 from the Numbermatics database.
Names of 138437191973376000
- Cardinal: 138437191973376000 can be written as One hundred thirty-eight quadrillion, four hundred thirty-seven trillion, one hundred ninety-one billion, nine hundred seventy-three million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38437191973376 × 1017
Factors of 138437191973376000
Divisors of 138437191973376000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 40 45 48 50 51 58 60 64 68 72 75 80 85 87 90 96 100 102 116 120 125 128 136 144 145 150 153 160 170 174 180 192 200 204 225 232 240 250 255 256 261 272 288 290 300 306 320 340 348 360 375 384 400 408 425 435 449 450 464 480 493 500 510 512 522 544 576 580 600 612 640 680 696 720 725 750 765 768 800 816 850 870 898 900 928 960 986 1000 1020 1024 1044 1088 1125 1152 1160 1200 1224 1275 1280 1305 1347 1360 1392 1440 1450 1479 1500 1530 1536 1600 1632 1700 1740 1796 1800 1856 1920 1972 2000 2040 2048 2088 2125 2175 2176 2245 2250 2304 2320 2400 2448 2465 2550 2560 2610 2694 2720 2784 2880 2900 2958 3000 3060 3072 3200 3264 3400 3480 3592 3600 3625 3712 3825 3840 3944 4000 4041 4080 4096 4176 4250 4350 4352 4437 4490 4500 4608 4640 4800 4896 4930 5100 5120 5220 5388 5440 5568 5760 5800 5916 6000 6120 6144 6375 6400 6525 6528 6735 6800 6960 7184 7200 7250 7395 7424 7633 7650 7680 7888 8000 8082 8160 8352 8500 8700 8704 8874 8980 9000 9216 9280 9600 9792 9860 10200 10240 10440 10776 10875 10880 11136 11225 11520 11600 11832 12000 12240 12288 12325 12750 12800 13021 13050 13056 13470 13600 13920 14368 14400 14500 14790 14848 15266 15300 15360 15776 16000 16164 16320 16704 17000 17400 17408 17748 17960 18000 18432 18560 19125 19200 19584 19720 20205 20400 20480 20880 21552 21750 21760 22185 22272 22450 22899 23040 23200 23664 24000 24480 24650 25500 25600 26042 26100 26112 26940 27200 27840 28736 28800 29000 29580 29696 30532 30600 30720 31552 32000 32328 32625 32640 33408 33675 34000 34800 34816 35496 35920 36000 36864 36975 37120 38165 38250 38400 39063 39168 39440 40410 40800 41760 43104 43500 43520 44370 44544 44900 45798 46080 46400 47328 48000 48960 49300 51000 51200 52084 52200 52224 53880 54400 55680 56125 57472 57600 58000 59160 59392 61064 61200 61440 61625 63104 64000 64656 65105 65250 65280 66816 67350 68000 68697 69600 69632 70992 71840 72000 73950 74240 76330 76500 76800 78126 78336 78880 80820 81600 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3510070790400 3534446282000 3543946752000 3605135207640 3619272992768 3627333734400 3729450214800 3744075509760 3755349174625 3845477554816 3854042092800 3900078656000 3976252067250 3978080229120 4071682116864 4110978232320 4143833572000 4241335538400 4243285577728 4282268992000 4326162249168 4387588488000 4506419009550 4524091240960 4534167168000 4661812768500 4680094387200 4773696274944 4806846943520 4817552616000 4972600286400 5089602646080 5138722790400 5301669423000 5304106972160 5315920128000 5407702811460 5428909489152 5616113264640 5655114051200 5768216332224 5850117984000 5967120343680 6008558679400 6045556224000 6166467348480 6215750358000 6240125849600 6362003307600 6364928366592 6423403488000 6630133715200 6759628514325 6786136861440 6851630387200 7020141580800 7068892564000 7210270415280 7238545985536 7458900429600 7510698349250 7690955109632 7708084185600 7800157312000 7952504134500 7956160458240 8143364233728 8287667144000 8482671076800 8564537984000 8652324498336 8775176976000 9012838019100 9048182481920 9068334336000 9323625537000 9360188774400 9547392549888 9613693887040 9635105232000 9945200572800 10179205292160 10277445580800 10603338846000 10608213944320 10631840256000 10815405622920 10857818978304 11232226529280 11266047523875 11310228102400 11536432664448 11700235968000 11934240687360 12017117358800 12332934696960 12431500716000 12724006615200 12729856733184 12846806976000 13260267430400 13519257028650 13572273722880 14040283161600 14137785128000 14420540830560 14917800859200 15021396698500 15381910219264 15416168371200 15600314624000 15905008269000 15912320916480 16286728467456 16575334288000 16965342153600 17129075968000 17304648996672 17550353952000 18025676038200 18096364963840 18136668672000 18647251074000 18720377548800 19094785099776 19227387774080 19270210464000 19890401145600 20358410584320 20554891161600 21206677692000 21216427888640 21630811245840 21715637956608 22532095047750 22620456204800 23072865328896 23400471936000 23868481374720 24034234717600 24863001432000 25448013230400 25693613952000 26520534860800 27038514057300 27144547445760 28080566323200 28275570256000 28841081661120 29835601718400 30042793397000 30763820438528 30832336742400 31200629248000 31810016538000 31824641832960 32573456934912 33150668576000 33798142571625 33930684307200 34258151936000 34609297993344 35100707904000 36051352076400 36192729927680 37294502148000 38189570199552 38454775548160 38540420928000 39780802291200 40716821168640 42413355384000 43261622491680 45064190095500 45240912409600 46145730657792 46800943872000 47736962749440 48068469435200 49726002864000 50896026460800 51387227904000 53041069721600 54077028114600 54289094891520 56161132646400 56551140512000 57682163322240 59671203436800 60085586794000 61527640877056 61664673484800 63620033076000 63649283665920 65146913869824 66301337152000 67596285143250 67861368614400 69218595986688 70201415808000 72102704152800 74589004296000 76909551096320 77080841856000 79561604582400 81433642337280 84826710768000 86523244983360 90128380191000 90481824819200 92291461315584 93601887744000 95473925498880 96136938870400 99452005728000 101792052921600 102774455808000 106082139443200 108154056229200 108578189783040 113102281024000 115364326644480 119342406873600 120171173588000 123055281754112 127240066152000 132602674304000 135192570286500 135722737228800 138437191973376 140402831616000 144205408305600 149178008592000 153819102192640 154161683712000 159123209164800 162867284674560 169653421536000 173046489966720 180256760382000 180963649638400 184582922631168 190947850997760 192273877740800 198904011456000 203584105843200 216308112458400 226204562048000 230728653288960 238684813747200 240342347176000 254480132304000 265205348608000 270385140573000 271445474457600 276874383946752 280805663232000 288410816611200 298356017184000 307638204385280 308323367424000 318246418329600 325734569349120 339306843072000 346092979933440 360513520764000 369165845262336 384547755481600 397808022912000 407168211686400 432616224916800 452409124096000 461457306577920 477369627494400 480684694352000 508960264608000 530410697216000 540770281146000 542890948915200 553748767893504 576821633222400 596712034368000 615276408770560 678613686144000 692185959866880 721027041528000 769095510963200 795616045824000 814336423372800 865232449833600 904818248192000 922914613155840 954739254988800 961369388704000 1017920529216000 1081540562292000 1107497535787008 1153643266444800 1193424068736000 1357227372288000 1384371919733760 1442054083056000 1538191021926400 1591232091648000 1628672846745600 1730464899667200 1845829226311680 1922738777408000 2035841058432000 2163081124584000 2307286532889600 2386848137472000 2714454744576000 2768743839467520 2884108166112000 3076382043852800 3460929799334400 3845477554816000 4071682116864000 4326162249168000 4614573065779200 4773696274944000 5537487678935040 5768216332224000 6921859598668800 7690955109632000 8143364233728000 8652324498336000 9229146131558400 11536432664448000 13843719197337600 15381910219264000 17304648996672000 23072865328896000 27687438394675200 34609297993344000 46145730657792000 69218595986688000 138437191973376000
- Sum of all divisors σ(n): 547849665701208000
- Sum of proper divisors (its aliquot sum) s(n): 409412473727832000
- 138437191973376000 is an abundant number, because the sum of its proper divisors (409412473727832000) is greater than itself. Its abundance is 270975281754456000
Bases of 138437191973376000
- Binary: 1111010111101001111100100100000110100011010010000000000002
- Hexadecimal: 0x1EBD3E483469000
- Base-36: 11V3W00UKN40
Squares and roots of 138437191973376000
- 138437191973376000 squared (1384371919733760002) is 19164856121473360401092837376000000
- 138437191973376000 cubed (1384371919733760003) is 2653128866030537787353179390327392489701376000000000
-
The
square root of 138437191973376000 is 372071487.7189274767 -
The
cube root of 138437191973376000 is 517310.0636779247
Scales and comparisons
How big is 138437191973376000?- 138,437,191,973,376,000 seconds is equal to 4,401,874,490 years, 20 weeks, 6 days, 16 hours.
-
To count from 1 to 138,437,191,973,376,000 would take you about thirteen billion, two hundred five million, six hundred twenty-three thousand, four hundred seventy-one 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 138437191973376000 cubic inches would be around 43109.2 feet tall.
Recreational maths with 138437191973376000
- 138437191973376000 backwards is 000673379191734831
- 138437191973376000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138437191973376000's digits is 72
- More coming soon!
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"Number 138437191973376000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138437191973376000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138437191973376000/
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The information we have on file for 138437191973376000 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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