5138407214640000
5,138,407,214,640,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 5138407214640000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
5138407214640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 5138407214640000:
27 × 33 × 54 × 72 × 172 × 31 × 5419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 31 × 5419)See below for interesting mathematical facts about the number 5138407214640000 from the Numbermatics database.
Names of 5138407214640000
- Cardinal: 5138407214640000 can be written as Five quadrillion, one hundred thirty-eight trillion, four hundred seven billion, two hundred fourteen million, six hundred forty thousand.
Scientific notation
- Scientific notation: 5.13840721464 × 1015
Factors of 5138407214640000
Divisors of 5138407214640000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 31 32 34 35 36 40 42 45 48 49 50 51 54 56 60 62 63 64 68 70 72 75 80 84 85 90 93 96 98 100 102 105 108 112 119 120 124 125 126 128 135 136 140 144 147 150 153 155 160 168 170 175 180 186 189 192 196 200 204 210 216 217 224 225 238 240 245 248 250 252 255 270 272 279 280 288 289 294 300 306 310 315 320 336 340 350 357 360 372 375 378 384 392 400 408 420 425 432 434 441 448 450 459 465 476 480 490 496 500 504 510 525 527 540 544 558 560 576 578 588 595 600 612 620 625 630 640 651 672 675 680 700 714 720 735 744 750 756 765 775 784 800 816 833 837 840 850 864 867 868 875 882 896 900 918 930 945 952 960 980 992 1000 1008 1020 1050 1054 1071 1080 1085 1088 1116 1120 1125 1152 1156 1176 1190 1200 1224 1225 1240 1250 1260 1275 1302 1323 1344 1350 1360 1395 1400 1428 1440 1445 1470 1488 1500 1512 1519 1530 1550 1568 1575 1581 1600 1632 1666 1674 1680 1700 1728 1734 1736 1750 1764 1785 1800 1836 1860 1875 1890 1904 1920 1953 1960 1984 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41107257717120 41438767860000 42820060122000 43179892560000 45878635845000 47577844580000 48937211568000 50376541320000 51384072146400 52432726680000 53525075152500 55251690480000 57093413496000 60451849584000 61171514460000 64230090183000 68512096195200 71366766870000 73405817352000 75564811980000 80287612728750 81562019280000 82877535720000 85640120244000 91757271690000 95155689160000 100753082640000 102768144292800 104865453360000 107050150305000 114186826992000 122343028920000 128460180366000 142733533740000 146811634704000 151129623960000 160575225457500 165755071440000 171280240488000 183514543380000 190311378320000 205536288585600 214100300610000 244686057840000 256920360732000 285467067480000 302259247920000 321150450915000 342560480976000 367029086760000 428200601220000 513840721464000 570934134960000 642300901830000 734058173520000 856401202440000 1027681442928000 1284601803660000 1712802404880000 2569203607320000 5138407214640000
- Sum of all divisors σ(n): 24177628582272000
- Sum of proper divisors (its aliquot sum) s(n): 19039221367632000
- 5138407214640000 is an abundant number, because the sum of its proper divisors (19039221367632000) is greater than itself. Its abundance is 13900814152992000
Bases of 5138407214640000
- Binary: 100100100000101011010101010001011110101101011100000002
- Hexadecimal: 0x12415AA8BD6B80
- Base-36: 1ELEVOPUQO0
Squares and roots of 5138407214640000
- 5138407214640000 squared (51384072146400002) is 26403228703464403030329600000000
- 5138407214640000 cubed (51384072146400003) is 135670540859671421693466295377145344000000000000
-
The
square root of 5138407214640000 is 71682684.2036485127 -
The
cube root of 5138407214640000 is 172561.0757852775
Scales and comparisons
How big is 5138407214640000?- 5,138,407,214,640,000 seconds is equal to 163,385,455 years, 15 weeks.
-
To count from 1 to 5,138,407,214,640,000 would take you about four hundred ninety million, one hundred fifty-six thousand, three hundred sixty-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 5138407214640000 cubic inches would be around 14380.1 feet tall.
Recreational maths with 5138407214640000
- 5138407214640000 backwards is 0000464127048315
- 5138407214640000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5138407214640000's digits is 45
- More coming soon!
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"Number 5138407214640000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 5138407214640000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/5138407214640000/
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The information we have on file for 5138407214640000 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 5138407214640000, math, Factors of 5138407214640000, curriculum, school, college, exams, university, Prime factorization of 5138407214640000, STEM, science, technology, engineering, physics, economics, calculator, five quadrillion, one hundred thirty-eight trillion, four hundred seven billion, two hundred fourteen million, six hundred forty thousand.