137213813268900000
137,213,813,268,900,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137213813268900000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2916 divisors.
137213813268900000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 137213813268900000:
25 × 32 × 55 × 372 × 612 × 1732
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 37 × 37 × 61 × 61 × 173 × 173)See below for interesting mathematical facts about the number 137213813268900000 from the Numbermatics database.
Names of 137213813268900000
- Cardinal: 137213813268900000 can be written as One hundred thirty-seven quadrillion, two hundred thirteen trillion, eight hundred thirteen billion, two hundred sixty-eight million, nine hundred thousand.
Scientific notation
- Scientific notation: 1.372138132689 × 1017
Factors of 137213813268900000
Divisors of 137213813268900000
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 61 72 74 75 80 90 96 100 111 120 122 125 144 148 150 160 173 180 183 185 200 222 225 240 244 250 288 296 300 305 333 346 360 366 370 375 400 444 450 480 488 500 519 549 555 592 600 610 625 666 692 720 732 740 750 800 865 888 900 915 925 976 1000 1038 1098 1110 1125 1184 1200 1220 1250 1332 1369 1384 1440 1464 1480 1500 1525 1557 1665 1730 1776 1800 1830 1850 1875 1952 2000 2076 2196 2220 2250 2257 2400 2440 2500 2595 2664 2738 2745 2768 2775 2928 2960 3000 3050 3114 3125 3330 3460 3552 3600 3660 3700 3721 3750 4000 4107 4152 4325 4392 4440 4500 4514 4575 4625 4880 5000 5190 5328 5476 5490 5536 5550 5625 5856 5920 6000 6100 6228 6250 6401 6660 6771 6845 6920 7200 7320 7400 7442 7500 7625 7785 8214 8304 8325 8650 8784 8880 9000 9028 9150 9250 9375 9760 10000 10380 10553 10656 10952 10980 11100 11163 11250 11285 12000 12200 12321 12456 12500 12802 12975 13320 13542 13690 13725 13840 13875 14640 14800 14884 15000 15250 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29667851517600 29992090332000 30397388850000 30491958504200 30904011997500 31241760762500 31725737172000 33047642887500 33409742700000 34303453317225 36590350205040 36875520900000 37084814397000 37490112915000 38114948130250 38630014996875 39657171465000 41205349330000 43908420246048 44063523850000 44988135498000 45737937756300 46356017996250 46862641143750 49446419196000 49571464331250 49986817220000 50114614050000 51506686662500 52876228620000 54885525307560 56235169372500 57172422195375 60794777700000 60983917008400 61808023995000 62483521525000 66095285775000 68606906634450 70293961715625 73180700410080 74169628794000 74980225830000 76229896260500 77260029993750 79314342930000 82410698660000 88127047700000 89976270996000 91475875512600 92712035992500 93725282287500 95287370325625 99142928662500 100229228100000 103013373325000 109771050615120 112470338745000 114344844390750 115890044990625 121967834016800 123616047990000 124967043050000 132190571550000 137213813268900 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2249406774900000 2286896887815000 2744276265378000 2858621109768750 3049195850420000 3430345331722500 3708481439700000 3811494813025000 4287931664653125 4573793775630000 5488552530756000 5717242219537500 6860690663445000 7622989626050000 8575863329306250 9147587551260000 11434484439075000 13721381326890000 15245979252100000 17151726658612500 22868968878150000 27442762653780000 34303453317225000 45737937756300000 68606906634450000 137213813268900000
- Sum of all divisors σ(n): 512573746192783002
- Sum of proper divisors (its aliquot sum) s(n): 375359932923883002
- 137213813268900000 is an abundant number, because the sum of its proper divisors (375359932923883002) is greater than itself. Its abundance is 238146119654983002
Bases of 137213813268900000
- Binary: 1111001110111101100111100011101100010101101101000101000002
- Hexadecimal: 0x1E77B3C762B68A0
- Base-36: 11J28JLSMP40
Squares and roots of 137213813268900000
- 137213813268900000 squared (1372138132689000002) is 18827630551792557703707210000000000
- 137213813268900000 cubed (1372138132689000003) is 2583410982829500682925209286218598769000000000000000
-
The
square root of 137213813268900000 is 370423829.2401016687 -
The
cube root of 137213813268900000 is 515781.7182484321
Scales and comparisons
How big is 137213813268900000?- 137,213,813,268,900,000 seconds is equal to 4,362,974,831 years, 39 weeks, 3 days, 10 hours.
-
To count from 1 to 137,213,813,268,900,000 would take you about thirteen billion, eighty-eight million, nine hundred twenty-four thousand, four hundred ninety-five 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 137213813268900000 cubic inches would be around 42981.8 feet tall.
Recreational maths with 137213813268900000
- 137213813268900000 backwards is 000009862318312731
- The number of decimal digits it has is: 18
- The sum of 137213813268900000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 137213813268900000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 137213813268900000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137213813268900000/
Chicago style:
Numbermatics. 2024. "Number 137213813268900000 - Facts about the integer". https://numbermatics.com/n/137213813268900000/
The information we have on file for 137213813268900000 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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