138764066652848000
138,764,066,652,848,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138764066652848000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
138764066652848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138764066652848000:
27 × 53 × 7 × 133 × 31 × 2633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 31 × 263 × 263 × 263)See below for interesting mathematical facts about the number 138764066652848000 from the Numbermatics database.
Names of 138764066652848000
- Cardinal: 138764066652848000 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-four trillion, sixty-six billion, six hundred fifty-two million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38764066652848 × 1017
Factors of 138764066652848000
Divisors of 138764066652848000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 70 80 91 100 104 112 124 125 128 130 140 155 160 169 175 182 200 208 217 224 248 250 260 263 280 310 320 325 338 350 364 400 403 416 434 448 455 496 500 520 526 560 620 640 650 676 700 728 775 800 806 832 845 868 875 896 910 992 1000 1040 1052 1085 1120 1183 1240 1300 1315 1352 1400 1456 1550 1600 1612 1625 1664 1690 1736 1750 1820 1841 1984 2000 2015 2080 2104 2170 2197 2240 2275 2366 2480 2600 2630 2704 2800 2821 2912 3100 3200 3224 3250 3380 3419 3472 3500 3640 3682 3875 3968 4000 4030 4160 4208 4225 4340 4394 4480 4550 4732 4960 5200 5239 5260 5408 5425 5600 5642 5824 5915 6200 6448 6500 6575 6760 6838 6944 7000 7280 7364 7750 8000 8060 8153 8320 8416 8450 8680 8788 9100 9205 9464 9920 10075 10400 10478 10520 10816 10850 10985 11200 11284 11375 11648 11830 12400 12896 13000 13150 13520 13676 13888 14000 14105 14560 14728 15379 15500 16000 16120 16306 16832 16900 17095 17360 17576 18200 18410 18928 19840 20150 20800 20956 21040 21125 21632 21700 21970 22400 22568 22750 23660 23933 24800 25792 26000 26195 26300 27040 27125 27352 27776 28000 28210 29120 29456 29575 30758 31000 32240 32612 32875 33664 33800 34190 34720 35152 36400 36673 36820 37856 40300 40765 41600 41912 42080 42250 43400 43940 44447 45136 45500 46025 47320 47866 49600 50375 51584 52000 52390 52600 54080 54250 54704 54925 56000 56420 57071 58240 58912 59150 61516 62000 64480 65224 65750 67600 68107 68380 69169 69440 70304 70525 72800 73346 73640 75712 76895 80600 81530 83824 84160 84500 85475 86800 87880 88894 90272 91000 92050 94640 95732 99200 100750 104000 104780 105200 105989 108160 108500 109408 109850 112000 112840 114142 117824 118300 119665 123032 124000 128960 130448 130975 131500 135200 136214 136760 138338 138880 140608 141050 145600 146692 147280 147875 151424 153790 161200 163060 167648 168320 169000 170950 173600 175760 177788 180544 182000 183365 184100 189280 191464 201500 203825 208000 209560 210400 211978 217000 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76243992666400 79293752373056 79933218118000 82108915179200 83391866978875 85393271786368 86081927204000 86727541658030 89525204292160 95304990833000 99117190466320 102636143974000 105524005059200 106741589732960 111906505365200 117298450256000 123896488082900 127893148988800 131905006324000 133426987166200 138764066652848 139883131706500 152487985332800 154870610103625 158587504746112 159866436236000 164217830358400 166783733957750 172163854408000 173455083316060 179050408584320 190609981666000 198234380932640 205272287948000 213483179465920 216818854145075 223813010730400 247792976165800 263810012648000 266853974332400 277528133305696 279766263413000 304975970665600 309741220207250 319732872472000 333567467915500 344327708816000 346910166632120 381219963332000 396468761865280 410544575896000 426966358931840 433637708290150 447626021460800 495585952331600 527620025296000 533707948664800 555056266611392 559532526826000 619482440414500 639465744944000 667134935831000 693820333264240 762439926664000 792937523730560 821089151792000 867275416580300 895252042921600 991171904663200 1067415897329600 1084094270725375 1110112533222784 1119065053652000 1238964880829000 1334269871662000 1387640666528480 1524879853328000 1734550833160600 1982343809326400 2134831794659200 2168188541450750 2238130107304000 2477929761658000 2668539743324000 2775281333056960 3469101666321200 3964687618652800 4336377082901500 4476260214608000 4955859523316000 5337079486648000 5550562666113920 6938203332642400 8672754165803000 9911719046632000 10674158973296000 13876406665284800 17345508331606000 19823438093264000 27752813330569600 34691016663212000 69382033326424000 138764066652848000
- Sum of all divisors σ(n): 442591841083392000
- Sum of proper divisors (its aliquot sum) s(n): 303827774430544000
- 138764066652848000 is an abundant number, because the sum of its proper divisors (303827774430544000) is greater than itself. Its abundance is 165063707777696000
Bases of 138764066652848000
- Binary: 1111011001111110100101110111101000110111001111111100000002
- Hexadecimal: 0x1ECFD2EF46E7F80
- Base-36: 11YBR86F2RNK
Squares and roots of 138764066652848000
- 138764066652848000 squared (1387640666528480002) is 19255466194036042346146511104000000
- 138764066652848000 cubed (1387640666528480003) is 2671966794380878780343511486102246345224192000000000
-
The
square root of 138764066652848000 is 372510492.0037125613 -
The
cube root of 138764066652848000 is 517716.8971426905
Scales and comparisons
How big is 138764066652848000?- 138,764,066,652,848,000 seconds is equal to 4,412,268,094 years, 6 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,764,066,652,848,000 would take you about thirteen billion, two hundred thirty-six million, eight hundred four thousand, two hundred eighty-two 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 138764066652848000 cubic inches would be around 43143.1 feet tall.
Recreational maths with 138764066652848000
- 138764066652848000 backwards is 000848256660467831
- The number of decimal digits it has is: 18
- The sum of 138764066652848000's digits is 74
- More coming soon!
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"Number 138764066652848000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138764066652848000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138764066652848000/
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The information we have on file for 138764066652848000 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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