138131045724847500
138,131,045,724,847,500 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138131045724847500 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
138131045724847500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138131045724847500:
22 × 32 × 54 × 132 × 31 × 89 × 757 × 17393
(2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 89 × 757 × 17393)See below for interesting mathematical facts about the number 138131045724847500 from the Numbermatics database.
Names of 138131045724847500
- Cardinal: 138131045724847500 can be written as One hundred thirty-eight quadrillion, one hundred thirty-one trillion, forty-five billion, seven hundred twenty-four million, eight hundred forty-seven thousand, five hundred.
Scientific notation
- Scientific notation: 1.381310457248475 × 1017
Factors of 138131045724847500
Divisors of 138131045724847500
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 31 36 39 45 50 52 60 62 65 75 78 89 90 93 100 117 124 125 130 150 155 156 169 178 180 186 195 225 234 250 260 267 279 300 310 325 338 356 372 375 390 403 445 450 465 468 500 507 534 558 585 620 625 650 676 750 757 775 780 801 806 845 890 900 930 975 1014 1068 1116 1125 1157 1170 1209 1250 1300 1335 1395 1500 1514 1521 1550 1602 1612 1625 1690 1780 1860 1875 1950 2015 2028 2225 2250 2271 2314 2325 2340 2418 2500 2535 2670 2759 2790 2925 3028 3042 3100 3204 3250 3380 3471 3627 3750 3785 3875 3900 4005 4030 4225 4450 4500 4542 4628 4650 4836 4875 5070 5239 5340 5518 5580 5625 5785 5850 6045 6084 6500 6675 6813 6942 6975 7254 7500 7570 7605 7750 8010 8060 8125 8277 8450 8900 9084 9300 9750 9841 10075 10140 10413 10478 11036 11125 11250 11355 11570 11625 11700 12090 12675 13350 13626 13795 13884 13950 14508 14625 15041 15140 15210 15500 15717 16020 16250 16554 16900 17355 17393 18135 18925 19375 19500 19682 20025 20150 20826 20956 21125 22250 22500 22710 23140 23250 23467 24180 24375 24831 25350 26195 26700 27252 27590 27900 28925 29250 29523 30082 30225 30420 31434 32500 33108 33375 34065 34710 34786 34875 35867 36270 37850 38025 38750 39364 40050 40300 41385 41652 42250 44500 45123 45420 46500 46934 47151 48750 49205 49662 50375 50700 52065 52179 52390 55180 55625 56775 57850 58125 58500 59046 60164 60450 62868 63375 66750 67373 68130 68975 69420 69572 69750 70401 71734 72540 73125 75205 75700 76050 77500 78585 80100 82770 84500 86775 86965 88569 90246 90675 93868 94302 94625 97500 98410 99324 100125 100750 104130 104358 104780 105625 107601 111250 113550 115700 116250 117335 118092 120900 124155 126750 127933 130975 133500 134746 135369 136260 137950 139500 140802 143468 144625 146250 147615 150410 151125 152100 156537 157170 165540 166875 170325 173550 173930 174375 177138 179335 180492 181350 188604 189250 190125 196820 200250 201500 202119 206925 208260 208716 211203 211250 215202 222500 225615 226109 227100 232500 234670 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59411202462300 59693623908750 60823886272500 61391575877710 62081368865100 68111955485625 68551387456500 70836433705050 73669891053252 74264003077875 77601711081375 81734346582750 85003720446060 85689234320625 86224123423750 89116803693450 90815940647500 91235829408750 92087363816565 99018670770500 103468948108500 106254650557575 110504836579878 114252312427500 118060722841750 119387247817500 122783151755420 123773338463125 129336185135625 136223910971250 141672867410100 148528006155750 153478939694275 155203422162750 163468693165500 171378468641250 172448246847500 177091084262625 178233607386900 182471658817500 184174727633130 204335866456875 212509301115150 221009673159756 222792009233625 236121445683500 247546676926250 258672370271250 272447821942500 276262091449695 295151807104375 297056012311500 306957879388550 310406844325500 342756937282500 354182168525250 368349455266260 371320015389375 388008555406875 408671732913750 425018602230300 445584018467250 460436819082825 495093353852500 517344740542500 531273252787875 552524182899390 590303614208750 613915758777100 708364337050500 742640030778750 767394698471375 776017110813750 817343465827500 885455421313125 891168036934500 920873638165650 1062546505575750 1105048365798780 1113960046168125 1180607228417500 1381310457248475 1485280061557500 1534789396942750 1552034221627500 1770910842626250 1841747276331300 2125093011151500 2227920092336250 2302184095414125 2656366263939375 2762620914496950 3069578793885500 3541821685252500 3836973492356875 4455840184672500 4604368190828250 5312732527878750 5525241828993900 6906552286242375 7673946984713750 9208736381656500 10625465055757500 11510920477070625 13813104572484750 15347893969427500 23021840954141250 27626209144969500 34532761431211875 46043681908282500 69065522862423750 138131045724847500
- Sum of all divisors σ(n): 493860935863975680
- Sum of proper divisors (its aliquot sum) s(n): 355729890139128180
- 138131045724847500 is an abundant number, because the sum of its proper divisors (355729890139128180) is greater than itself. Its abundance is 217598844414280680
Bases of 138131045724847500
- Binary: 1111010101011110101110100010010001110000111111101100011002
- Hexadecimal: 0x1EABD7448E1FD8C
- Base-36: 11S3DADMNT70
Squares and roots of 138131045724847500
- 138131045724847500 squared (1381310457248475002) is 19080185793039910806678898256250000
- 138131045724847500 cubed (1381310457248475003) is 2635566016216981578053845944028672985047171875000000
-
The
square root of 138131045724847500 is 371659852.1832126813 -
The
cube root of 138131045724847500 is 516928.4479652723
Scales and comparisons
How big is 138131045724847500?- 138,131,045,724,847,500 seconds is equal to 4,392,139,986 years, 34 weeks, 6 days, 16 hours, 45 minutes.
-
To count from 1 to 138,131,045,724,847,500 would take you about thirteen billion, one hundred seventy-six million, four hundred nineteen thousand, nine hundred sixty 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 138131045724847500 cubic inches would be around 43077.4 feet tall.
Recreational maths with 138131045724847500
- 138131045724847500 backwards is 005748427540131831
- The number of decimal digits it has is: 18
- The sum of 138131045724847500's digits is 63
- More coming soon!
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"Number 138131045724847500 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138131045724847500 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138131045724847500/
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The information we have on file for 138131045724847500 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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