138947575431360000
138,947,575,431,360,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138947575431360000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138947575431360000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138947575431360000:
29 × 3 × 54 × 172 × 43 × 257 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 43 × 257 × 45319)See below for interesting mathematical facts about the number 138947575431360000 from the Numbermatics database.
Names of 138947575431360000
- Cardinal: 138947575431360000 can be written as One hundred thirty-eight quadrillion, nine hundred forty-seven trillion, five hundred seventy-five billion, four hundred thirty-one million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3894757543136 × 1017
Factors of 138947575431360000
Divisors of 138947575431360000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 43 48 50 51 60 64 68 75 80 85 86 96 100 102 120 125 128 129 136 150 160 170 172 192 200 204 215 240 250 255 256 257 258 272 289 300 320 340 344 375 384 400 408 425 430 480 500 510 512 514 516 544 578 600 625 640 645 680 688 731 750 768 771 800 816 850 860 867 960 1000 1020 1028 1032 1075 1088 1156 1200 1250 1275 1280 1285 1290 1360 1376 1445 1462 1500 1536 1542 1600 1632 1700 1720 1734 1875 1920 2000 2040 2056 2064 2125 2150 2176 2193 2312 2400 2500 2550 2560 2570 2580 2720 2752 2890 2924 3000 3084 3200 3225 3264 3400 3440 3468 3655 3750 3840 3855 4000 4080 4112 4128 4250 4300 4335 4352 4369 4386 4624 4800 5000 5100 5140 5160 5375 5440 5504 5780 5848 6000 6168 6375 6400 6425 6450 6528 6800 6880 6936 7225 7310 7500 7680 7710 8000 8160 8224 8256 8500 8600 8670 8704 8738 8772 9248 9600 10000 10200 10280 10320 10625 10750 10880 10965 11008 11051 11560 11696 12000 12336 12427 12750 12800 12850 12900 13056 13107 13600 13760 13872 14450 14620 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217105586611500 222316120690176 231579292385600 240393729120000 255418337190000 269278246960000 270326022240000 271381983264375 272446226336000 277895150862720 289474115482000 323133896352000 326935471603200 340557782920000 347368938578400 361842644352500 370526867816960 403917370440000 408669339504000 434211173223000 463158584771200 480787458240000 510836674380000 538556493920000 540652044480000 542763966528750 544892452672000 555790301725440 578948230964000 646267792704000 681115565840000 694737877156800 723685288705000 807834740880000 817338679008000 868422346446000 926317169542400 1021673348760000 1077112987840000 1085527933057500 1111580603450880 1157896461928000 1362231131680000 1389475754313600 1447370577410000 1615669481760000 1634677358016000 1736844692892000 1852634339084800 2043346697520000 2171055866115000 2315792923856000 2724462263360000 2778951508627200 2894741154820000 3231338963520000 3473689385784000 4086693395040000 4342111732230000 4631585847712000 5557903017254400 5789482309640000 6947378771568000 8173386790080000 8684223464460000 9263171695424000 11578964619280000 13894757543136000 17368446928920000 23157929238560000 27789515086272000 34736893857840000 46315858477120000 69473787715680000 138947575431360000
- Sum of all divisors σ(n): 504762773555208960
- Sum of proper divisors (its aliquot sum) s(n): 365815198123848960
- 138947575431360000 is an abundant number, because the sum of its proper divisors (365815198123848960) is greater than itself. Its abundance is 226867622692488960
Bases of 138947575431360000
- Binary: 1111011011010010000010101011010111111110011101110000000002
- Hexadecimal: 0x1EDA4156BFCEE00
- Base-36: 1204SYY3QVPC
Squares and roots of 138947575431360000
- 138947575431360000 squared (1389475754313600002) is 19306428718253477090071449600000000
- 138947575431360000 cubed (1389475754313600003) is 2682581460639699968889304376227940499456000000000000
-
The
square root of 138947575431360000 is 372756724.1933537541 -
The
cube root of 138947575431360000 is 517945.0151474399
Scales and comparisons
How big is 138947575431360000?- 138,947,575,431,360,000 seconds is equal to 4,418,103,105 years, 33 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 138,947,575,431,360,000 would take you about thirteen billion, two hundred fifty-four million, three hundred nine thousand, three hundred sixteen 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 138947575431360000 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138947575431360000
- 138947575431360000 backwards is 000063134575749831
- The number of decimal digits it has is: 18
- The sum of 138947575431360000's digits is 66
- More coming soon!
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"Number 138947575431360000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138947575431360000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138947575431360000/
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The information we have on file for 138947575431360000 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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