1138366485120000
1,138,366,485,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138366485120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
1138366485120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 1138366485120000:
210 × 3 × 54 × 31 × 37 × 732 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 31 × 37 × 73 × 73 × 97)See below for interesting mathematical facts about the number 1138366485120000 from the Numbermatics database.
Names of 1138366485120000
- Cardinal: 1138366485120000 can be written as One quadrillion, one hundred thirty-eight trillion, three hundred sixty-six billion, four hundred eighty-five million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.13836648512 × 1015
Factors of 1138366485120000
Divisors of 1138366485120000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 37 40 48 50 60 62 64 73 74 75 80 93 96 97 100 111 120 124 125 128 146 148 150 155 160 185 186 192 194 200 219 222 240 248 250 256 291 292 296 300 310 320 365 370 372 375 384 388 400 438 444 465 480 485 496 500 512 555 582 584 592 600 620 625 640 730 740 744 750 768 775 776 800 876 888 925 930 960 970 992 1000 1024 1095 1110 1147 1164 1168 1184 1200 1240 1250 1280 1455 1460 1480 1488 1500 1536 1550 1552 1600 1752 1776 1825 1850 1860 1875 1920 1940 1984 2000 2190 2220 2263 2294 2325 2328 2336 2368 2400 2425 2480 2500 2560 2701 2775 2910 2920 2960 2976 3000 3007 3072 3100 3104 3200 3441 3504 3552 3589 3650 3700 3720 3750 3840 3875 3880 3968 4000 4380 4440 4526 4588 4625 4650 4656 4672 4736 4800 4850 4960 5000 5120 5329 5402 5475 5550 5735 5820 5840 5920 5952 6000 6014 6200 6208 6400 6789 6882 7008 7081 7104 7178 7275 7300 7400 7440 7500 7680 7750 7760 7936 8000 8103 8760 8880 9021 9052 9125 9176 9250 9300 9312 9344 9472 9600 9700 9920 10000 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3118812288000 3557395266000 3672149952000 3794554950400 3845832720000 3898515360000 3911912320000 4446744082500 4553465940480 4590187440000 4743193688000 5127776960000 5198020480000 5691832425600 5867868480000 5928992110000 6120249920000 6153332352000 7114790532000 7344299904000 7589109900800 7691665440000 7797030720000 8893488165000 9106931880960 9180374880000 9486387376000 10255553920000 11383664851200 11735736960000 11857984220000 12240499840000 14229581064000 15178219801600 15383330880000 15594061440000 17786976330000 18360749760000 18972774752000 22767329702400 23715968440000 28459162128000 30766661760000 35573952660000 36721499520000 37945549504000 45534659404800 47431936880000 56918324256000 71147905320000 75891099008000 94863873760000 113836648512000 142295810640000 189727747520000 227673297024000 284591621280000 379455495040000 569183242560000 1138366485120000
- Sum of all divisors σ(n): 4117404037350912
- Sum of proper divisors (its aliquot sum) s(n): 2979037552230912
- 1138366485120000 is an abundant number, because the sum of its proper divisors (2979037552230912) is greater than itself. Its abundance is 1840671067110912
Bases of 1138366485120000
- Binary: 1000000101101010110100110011111100001000100000000002
- Hexadecimal: 0x40B5699F84400
- Base-36: B7IMCDHLHC
Squares and roots of 1138366485120000
- 1138366485120000 squared (11383664851200002) is 1295878254444463181414400000000
- 1138366485120000 cubed (11383664851200003) is 1475184373655384570071963438153728000000000000
-
The
square root of 1138366485120000 is 33739687.0927991861 -
The
cube root of 1138366485120000 is 104414.4728838125
Scales and comparisons
How big is 1138366485120000?- 1,138,366,485,120,000 seconds is equal to 36,196,533 years, 1 week, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 1,138,366,485,120,000 would take you about one hundred eight million, five hundred eighty-nine thousand, five hundred ninety-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 1138366485120000 cubic inches would be around 8701.2 feet tall.
Recreational maths with 1138366485120000
- 1138366485120000 backwards is 0000215846638311
- 1138366485120000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1138366485120000's digits is 48
- More coming soon!
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"Number 1138366485120000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 1138366485120000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1138366485120000/
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The information we have on file for 1138366485120000 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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