138369515121024000
138,369,515,121,024,000 is an even composite number composed of five prime numbers multiplied together.
138369515121024000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138369515121024000:
210 × 3 × 53 × 118 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 41 × 41)See below for interesting mathematical facts about the number 138369515121024000 from the Numbermatics database.
Names of 138369515121024000
- Cardinal: 138369515121024000 can be written as One hundred thirty-eight quadrillion, three hundred sixty-nine trillion, five hundred fifteen billion, one hundred twenty-one million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.38369515121024 × 1017
Factors of 138369515121024000
Divisors of 138369515121024000
- Number of divisors d(n): 2376
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 41 44 48 50 55 60 64 66 75 80 82 88 96 100 110 120 121 123 125 128 132 150 160 164 165 176 192 200 205 220 240 242 246 250 256 264 275 300 320 328 330 352 363 375 384 400 410 440 451 480 484 492 500 512 528 550 600 605 615 640 656 660 704 726 750 768 800 820 825 880 902 960 968 984 1000 1024 1025 1056 1100 1200 1210 1230 1280 1312 1320 1331 1353 1375 1408 1452 1500 1536 1600 1640 1650 1681 1760 1804 1815 1920 1936 1968 2000 2050 2112 2200 2255 2400 2420 2460 2560 2624 2640 2662 2706 2750 2816 2904 3000 3025 3072 3075 3200 3280 3300 3362 3520 3608 3630 3840 3872 3936 3993 4000 4100 4125 4224 4400 4510 4800 4840 4920 4961 5043 5120 5125 5248 5280 5324 5412 5500 5632 5808 6000 6050 6150 6400 6560 6600 6655 6724 6765 7040 7216 7260 7680 7744 7872 7986 8000 8200 8250 8405 8448 8800 9020 9075 9600 9680 9840 9922 10086 10250 10496 10560 10648 10824 11000 11264 11275 11616 12000 12100 12300 12800 13120 13200 13310 13448 13530 14080 14432 14520 14641 14883 15125 15360 15375 15488 15744 15972 16000 16400 16500 16810 16896 17600 18040 18150 18491 19200 19360 19680 19844 19965 20172 20500 20992 21120 21296 21648 22000 22550 23232 24000 24200 24600 24805 25215 25600 26240 26400 26620 26896 27060 28160 28864 29040 29282 29766 30250 30750 30976 31488 31944 32000 32800 33000 33275 33620 33792 33825 35200 36080 36300 36982 38400 38720 39360 39688 39930 40344 41000 41984 42025 42240 42592 43296 43923 44000 45100 45375 46464 48000 48400 49200 49610 50430 52480 52800 53240 53792 54120 54571 55473 56320 56375 57728 58080 58564 59532 60500 61500 61952 62976 63888 64000 65600 66000 66550 67240 67650 70400 72160 72600 73205 73964 74415 76800 77440 78720 79376 79860 80688 82000 84050 84480 85184 86592 87846 88000 90200 90750 92455 92928 96000 96800 98400 99220 99825 100860 104960 105600 106480 107584 108240 109142 110946 112750 115456 116160 117128 119064 121000 123000 123904 124025 125952 126075 127776 128000 131200 132000 133100 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5717748558720 5765396463376 5955988082000 6136120404480 6289523414592 6391792088000 6497441544000 6551586890200 6591535590750 6749732444928 6859484192000 6930604313600 6972864096000 7030971296800 7147185698400 7206745579220 7483073664000 7623664744960 7670150505600 7861904268240 8189483612750 8231381030400 8386031219456 8437165556160 8648094695064 8663255392000 8788714121000 8933982123000 8999643259904 9008431974025 9148397693952 9297152128000 9450824064000 9529580931200 9587688132000 9827380335300 10226867340800 10289226288000 10395906470400 10482539024320 10546456945200 10810118368830 11249554074880 11435497117440 11530792926752 11911976164000 12272240808960 12284225419125 12579046829184 12783584176000 12994883088000 13103173780400 13183071181500 13499464889856 13718968384000 13945728192000 14061942593600 14294371396800 14413491158440 15247329489920 15340301011200 15723808536480 16378967225500 16462762060800 16772062438912 16874331112320 17296189390128 17326510784000 17577428242000 17867964246000 18016863948050 19059161862400 19175376264000 19654760670600 20453734681600 20578452576000 20791812940800 20965078048640 21092913890400 21620236737660 22499108149760 22870994234880 23061585853504 23823952328000 24568450838250 25158093658368 25567168352000 25989766176000 26206347560800 26366142363000 26998929779712 27025295922075 27437936768000 27891456384000 28123885187200 28588742793600 28826982316880 30680602022400 31447617072960 32757934451000 33544124877824 33748662224640 34592378780256 34653021568000 35154856484000 35735928492000 36033727896100 38118323724800 38350752528000 39309521341200 41156905152000 41930156097280 42185827780800 43240473475320 44998216299520 45042159870125 45741988469760 46123171707008 47647904656000 49136901676500 50316187316736 51134336704000 51979532352000 52412695121600 52732284726000 54050591844150 56247770374400 57177485587200 57653964633760 61361204044800 62895234145920 65515868902000 67497324449280 69184757560512 70309712968000 71471856984000 72067455792200 76236647449600 76701505056000 78619042682400 82313810304000 83860312194560 84371655561600 86480946950640 90084319740250 92246343414016 95295809312000 98273803353000 100632374633472 102268673408000 103959064704000 104825390243200 105464569452000 108101183688300 112495540748800 114354971174400 115307929267520 125790468291840 131031737804000 134994648898560 135126479610375 138369515121024 140619425936000 142943713968000 144134911584400 153403010112000 157238085364800 167720624389120 168743311123200 172961893901280 180168639480500 184492686828032 190591618624000 196547606706000 209650780486400 210929138904000 216202367376600 224991081497600 228709942348800 230615858535040 251580936583680 262063475608000 270252959220750 276739030242048 281238851872000 285887427936000 288269823168800 306806020224000 314476170729600 337486622246400 345923787802560 360337278961000 368985373656064 381183237248000 393095213412000 419301560972800 421858277808000 432404734753200 461231717070080 503161873167360 524126951216000 540505918441500 553478060484096 562477703744000 571774855872000 576539646337600 628952341459200 674973244492800 691847575605120 720674557922000 786190426824000 838603121945600 843716555616000 864809469506400 922463434140160 1048253902432000 1081011836883000 1106956120968192 1124955407488000 1143549711744000 1153079292675200 1257904682918400 1383695151210240 1441349115844000 1572380853648000 1687433111232000 1729618939012800 1844926868280320 2096507804864000 2162023673766000 2306158585350400 2515809365836800 2767390302420480 2882698231688000 3144761707296000 3374866222464000 3459237878025600 4193015609728000 4324047347532000 4612317170700800 5534780604840960 5765396463376000 6289523414592000 6918475756051200 8648094695064000 9224634341401600 11530792926752000 12579046829184000 13836951512102400 17296189390128000 23061585853504000 27673903024204800 34592378780256000 46123171707008000 69184757560512000 138369515121024000
- Sum of all divisors σ(n): 518945650181330736
- Sum of proper divisors (its aliquot sum) s(n): 380576135060306736
- 138369515121024000 is an abundant number, because the sum of its proper divisors (380576135060306736) is greater than itself. Its abundance is 242206619939282736
Bases of 138369515121024000
- Binary: 1111010111001011001010111010001001000100000011100000000002
- Hexadecimal: 0x1EB965744881C00
- Base-36: 11UFWDPG1PMO
Squares and roots of 138369515121024000
- 138369515121024000 squared (1383695151210240002) is 19146122714827289381366808576000000
- 138369515121024000 cubed (1383695151210240003) is 2649239716498275695903633209849497281101824000000000
-
The
square root of 138369515121024000 is 371980530.5671575065 -
The
cube root of 138369515121024000 is 517225.7519818387
Scales and comparisons
How big is 138369515121024000?- 138,369,515,121,024,000 seconds is equal to 4,399,722,575 years, 43 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 138,369,515,121,024,000 would take you about thirteen billion, one hundred ninety-nine million, one hundred sixty-seven thousand, seven hundred twenty-seven 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 138369515121024000 cubic inches would be around 43102.1 feet tall.
Recreational maths with 138369515121024000
- 138369515121024000 backwards is 000420121515963831
- The number of decimal digits it has is: 18
- The sum of 138369515121024000's digits is 51
- More coming soon!
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"Number 138369515121024000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138369515121024000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138369515121024000/
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The information we have on file for 138369515121024000 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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