138461456941117440000
138,461,456,941,117,440,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138461456941117440000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
138461456941117440000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138461456941117440000:
215 × 3 × 54 × 132 × 372 × 31212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 37 × 37 × 3121 × 3121)See below for interesting mathematical facts about the number 138461456941117440000 from the Numbermatics database.
Names of 138461456941117440000
- Cardinal: 138461456941117440000 can be written as One hundred thirty-eight quintillion, four hundred sixty-one quadrillion, four hundred fifty-six trillion, nine hundred forty-one billion, one hundred seventeen million, four hundred forty thousand.
Scientific notation
- Scientific notation: 1.3846145694111744 × 1020
Factors of 138461456941117440000
Divisors of 138461456941117440000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 370 375 384 390 400 416 444 480 481 500 507 512 520 555 592 600 624 625 640 650 676 740 750 768 780 800 832 845 888 925 960 962 975 1000 1014 1024 1040 1110 1184 1200 1248 1250 1280 1300 1352 1369 1443 1480 1500 1536 1560 1600 1625 1664 1690 1776 1850 1875 1920 1924 1950 2000 2028 2048 2080 2220 2368 2400 2405 2496 2500 2535 2560 2600 2704 2738 2775 2886 2960 3000 3072 3120 3121 3200 3250 3328 3380 3552 3700 3750 3840 3848 3900 4000 4056 4096 4107 4160 4225 4440 4625 4736 4800 4810 4875 4992 5000 5070 5120 5200 5408 5476 5550 5772 5920 6000 6144 6240 6242 6253 6400 6500 6656 6760 6845 7104 7215 7400 7500 7680 7696 7800 8000 8112 8125 8192 8214 8320 8450 8880 9250 9363 9472 9600 9620 9750 9984 10000 10140 10240 10400 10816 10952 11100 11544 11840 12000 12025 12288 12480 12484 12506 12675 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426035252126515200 432692052940992000 443786720965120000 461538189803724800 467775192368640000 532544065158144000 540865066176240000 553845827764469760 576922737254656000 623700256491520000 665680081447680000 692307284705587200 710058753544192000 721153421568320000 748440307789824000 819298561781760000 865384105881984000 887573441930240000 923076379607449600 935550384737280000 1065088130316288000 1081730132352480000 1107691655528939520 1153845474509312000 1247400512983040000 1331360162895360000 1384614569411174400 1442306843136640000 1730768211763968000 1775146883860480000 1846152759214899200 1871100769474560000 2130176260632576000 2163460264704960000 2307690949018624000 2662720325790720000 2769229138822348800 2884613686273280000 3461536423527936000 3550293767720960000 3742201538949120000 4326920529409920000 4615381898037248000 5325440651581440000 5538458277644697600 5769227372546560000 6923072847055872000 8653841058819840000 9230763796074496000 10650881303162880000 11538454745093120000 13846145694111744000 17307682117639680000 23076909490186240000 27692291388223488000 34615364235279360000 46153818980372480000 69230728470558720000 138461456941117440000
- Sum of all divisors σ(n): 513636914105891134020
- Sum of proper divisors (its aliquot sum) s(n): 375175457164773694020
- 138461456941117440000 is an abundant number, because the sum of its proper divisors (375175457164773694020) is greater than itself. Its abundance is 236714000223656254020
Bases of 138461456941117440000
- Binary: 11110000001100010011110100101111100110110100101100110000000000000002
- Hexadecimal: 0x78189E97CDA598000
- Base-36: T7YQY4BVRQNEO
Squares and roots of 138461456941117440000
- 138461456941117440000 squared (1384614569411174400002) is 19171575058256918904487315872153600000000
- 138461456941117440000 cubed (1384614569411174400003) is 2654524214422241453183841070869004537714163318784000000000000
-
The
square root of 138461456941117440000 is 11766964644.3387191815 -
The
cube root of 138461456941117440000 is 5173402.8623711719
Scales and comparisons
How big is 138461456941117440000?- 138,461,456,941,117,440,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,461,456,941,117,440,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138461456941117440000 cubic inches would be around 431116.9 feet tall.
Recreational maths with 138461456941117440000
- 138461456941117440000 backwards is 000044711149654164831
- The number of decimal digits it has is: 21
- The sum of 138461456941117440000's digits is 69
- More coming soon!
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"Number 138461456941117440000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138461456941117440000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138461456941117440000/
Chicago style:
Numbermatics. 2024. "Number 138461456941117440000 - Facts about the integer". https://numbermatics.com/n/138461456941117440000/
The information we have on file for 138461456941117440000 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!
Keywords: Divisors of 138461456941117440000, math, Factors of 138461456941117440000, curriculum, school, college, exams, university, Prime factorization of 138461456941117440000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred sixty-one quadrillion, four hundred fifty-six trillion, nine hundred forty-one billion, one hundred seventeen million, four hundred forty thousand.