138087696895200000
138,087,696,895,200,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138087696895200000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 5184 divisors.
138087696895200000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 138087696895200000:
28 × 32 × 55 × 13 × 19 × 41 × 257 × 7369
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 19 × 41 × 257 × 7369)See below for interesting mathematical facts about the number 138087696895200000 from the Numbermatics database.
Names of 138087696895200000
- Cardinal: 138087696895200000 can be written as One hundred thirty-eight quadrillion, eighty-seven trillion, six hundred ninety-six billion, eight hundred ninety-five million, two hundred thousand.
Scientific notation
- Scientific notation: 1.380876968952 × 1017
Factors of 138087696895200000
Divisors of 138087696895200000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 41 45 48 50 52 57 60 64 65 72 75 76 78 80 82 90 95 96 100 104 114 117 120 123 125 128 130 144 150 152 156 160 164 171 180 190 192 195 200 205 208 225 228 234 240 246 247 250 256 257 260 285 288 300 304 312 320 325 328 342 360 369 375 380 384 390 400 410 416 450 456 468 475 480 492 494 500 514 520 533 570 576 585 600 608 615 624 625 640 650 656 684 720 738 741 750 760 768 771 779 780 800 820 832 855 900 912 936 950 960 975 984 988 1000 1025 1028 1040 1066 1125 1140 1152 1170 1200 1216 1230 1235 1248 1250 1280 1285 1300 1312 1368 1425 1440 1476 1482 1500 1520 1542 1558 1560 1599 1600 1625 1640 1664 1710 1800 1824 1845 1872 1875 1900 1920 1950 1968 1976 2000 2050 2056 2080 2132 2223 2250 2280 2304 2313 2337 2340 2375 2400 2432 2460 2470 2496 2500 2570 2600 2624 2665 2736 2850 2880 2925 2952 2964 3000 3040 3075 3084 3116 3120 3125 3198 3200 3250 3280 3328 3341 3420 3600 3648 3690 3705 3744 3750 3800 3840 3855 3895 3900 3936 3952 4000 4100 4112 4160 4264 4275 4446 4500 4560 4626 4674 4680 4750 4797 4800 4864 4875 4883 4920 4940 4992 5000 5125 5140 5200 5248 5330 5472 5625 5700 5760 5850 5904 5928 6000 6080 6150 6168 6175 6232 6240 6250 6396 6400 6425 6500 6560 6682 6840 7011 7125 7200 7296 7369 7380 7410 7488 7500 7600 7710 7790 7800 7872 7904 7995 8000 8125 8200 8224 8320 8528 8550 8892 9000 9120 9225 9252 9348 9360 9375 9500 9594 9600 9750 9766 9840 9880 9984 10000 10023 10127 10250 10280 10400 10496 10537 10660 10944 11115 11250 11400 11520 11565 11685 11700 11808 11856 11875 12000 12160 12300 12336 12350 12464 12480 12500 12792 12850 13000 13120 13325 13364 13680 14022 14250 14400 14592 14625 14649 14738 14760 14820 14976 15000 15200 15375 15420 15580 15600 15744 15808 15990 16000 16250 16400 16448 16640 16705 17056 17100 17784 18000 18240 18450 18504 18525 18696 18720 18750 19000 19188 19200 19275 19475 19500 19532 19680 19760 20000 20046 20254 20500 20560 20800 21074 21320 21375 21888 22107 22230 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5523507875808000 5753654037300000 6904384844760000 7267773520800000 7671538716400000 8630481055950000 9205846459680000 10622130530400000 11507308074600000 13808769689520000 15343077432800000 17260962111900000 23014616149200000 27617539379040000 34521924223800000 46029232298400000 69043848447600000 138087696895200000
- Sum of all divisors σ(n): 580217745143836800
- Sum of proper divisors (its aliquot sum) s(n): 442130048248636800
- 138087696895200000 is an abundant number, because the sum of its proper divisors (442130048248636800) is greater than itself. Its abundance is 304042351353436800
Bases of 138087696895200000
- Binary: 1111010101001011000000111010110010100101001001011000000002
- Hexadecimal: 0x1EA9607594A4B00
- Base-36: 11RO0478Q0W0
Squares and roots of 138087696895200000
- 138087696895200000 squared (1380876968952000002) is 19068212033820627719783040000000000
- 138087696895200000 cubed (1380876968952000003) is 2633085483659627971774799548225617408000000000000000
-
The
square root of 138087696895200000 is 371601529.7266683751 -
The
cube root of 138087696895200000 is 516874.3674660789
Scales and comparisons
How big is 138087696895200000?- 138,087,696,895,200,000 seconds is equal to 4,390,761,627 years, 50 weeks, 5 days, 8 hours.
-
To count from 1 to 138,087,696,895,200,000 would take you about thirteen billion, one hundred seventy-two million, two hundred eighty-four thousand, eight hundred eighty-three 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 138087696895200000 cubic inches would be around 43072.9 feet tall.
Recreational maths with 138087696895200000
- 138087696895200000 backwards is 000002598696780831
- 138087696895200000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138087696895200000's digits is 72
- More coming soon!
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"Number 138087696895200000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138087696895200000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138087696895200000/
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The information we have on file for 138087696895200000 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 138087696895200000, math, Factors of 138087696895200000, curriculum, school, college, exams, university, Prime factorization of 138087696895200000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eighty-seven trillion, six hundred ninety-six billion, eight hundred ninety-five million, two hundred thousand.