138046664448000
138,046,664,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138046664448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
138046664448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138046664448000:
211 × 34 × 53 × 7 × 11 × 31 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 31 × 2789)See below for interesting mathematical facts about the number 138046664448000 from the Numbermatics database.
Names of 138046664448000
- Cardinal: 138046664448000 can be written as One hundred thirty-eight trillion, forty-six billion, six hundred sixty-four million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38046664448 × 1014
Factors of 138046664448000
Divisors of 138046664448000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 31 32 33 35 36 40 42 44 45 48 50 54 55 56 60 62 63 64 66 70 72 75 77 80 81 84 88 90 93 96 99 100 105 108 110 112 120 124 125 126 128 132 135 140 144 150 154 155 160 162 165 168 175 176 180 186 189 192 198 200 210 216 217 220 224 225 231 240 248 250 252 256 264 270 275 279 280 288 297 300 308 310 315 320 324 330 336 341 350 352 360 372 375 378 384 385 396 400 405 420 432 434 440 448 450 462 465 480 495 496 500 504 512 525 528 540 550 558 560 567 576 594 600 616 620 630 640 648 651 660 672 675 682 693 700 704 720 744 750 756 768 770 775 792 800 810 825 837 840 864 868 875 880 891 896 900 924 930 945 960 990 992 1000 1008 1023 1024 1050 1056 1080 1085 1100 1116 1120 1125 1134 1152 1155 1188 1200 1232 1240 1260 1280 1296 1302 1320 1344 1350 1364 1375 1386 1395 1400 1408 1440 1485 1488 1500 1512 1536 1540 1550 1575 1584 1600 1620 1650 1674 1680 1705 1728 1736 1750 1760 1782 1792 1800 1848 1860 1890 1920 1925 1953 1980 1984 2000 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1022567884800 1045808064000 1078489566000 1095608448000 1104373315584 1113279552000 1150388870400 1232559504000 1254969676800 1278209856000 1314730137600 1380466644480 1394410752000 1437986088000 1484372736000 1533851827200 1568712096000 1643412672000 1704279808000 1725583305600 1792813824000 1840622192640 1917314784000 1972095206400 2091616128000 2156979132000 2191216896000 2226559104000 2300777740800 2465119008000 2509939353600 2556419712000 2760933288960 2875972176000 3067703654400 3137424192000 3286825344000 3451166611200 3834629568000 3944190412800 4183232256000 4313958264000 4453118208000 4601555481600 4930238016000 5112839424000 5521866577920 5751944352000 6274848384000 6573650688000 6902333222400 7669259136000 8627916528000 9203110963200 9860476032000 11503888704000 12549696768000 13804666444800 15338518272000 17255833056000 19720952064000 23007777408000 27609332889600 34511666112000 46015554816000 69023332224000 138046664448000
- Sum of all divisors σ(n): 662505196953600
- Sum of proper divisors (its aliquot sum) s(n): 524458532505600
- 138046664448000 is an abundant number, because the sum of its proper divisors (524458532505600) is greater than itself. Its abundance is 386411868057600
Bases of 138046664448000
- Binary: 111110110001101011111100110010110011000000000002
- Hexadecimal: 0x7D8D7E659800
- Base-36: 1CXLRFR400
Squares and roots of 138046664448000
- 138046664448000 squared (1380466644480002) is 19056881565218707144704000000
- 138046664448000 cubed (1380466644480003) is 2630738934859023892937333268283392000000000
-
The
square root of 138046664448000 is 11749326.1273998179 -
The
cube root of 138046664448000 is 51682.3166377415
Scales and comparisons
How big is 138046664448000?- 138,046,664,448,000 seconds is equal to 4,389,456 years, 48 weeks.
-
To count from 1 to 138,046,664,448,000 would take you about ten million, nine hundred seventy-three thousand, six hundred forty-two 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 138046664448000 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138046664448000
- 138046664448000 backwards is 000844466640831
- 138046664448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138046664448000's digits is 54
- More coming soon!
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"Number 138046664448000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138046664448000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138046664448000/
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The information we have on file for 138046664448000 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 138046664448000, math, Factors of 138046664448000, curriculum, school, college, exams, university, Prime factorization of 138046664448000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, forty-six billion, six hundred sixty-four million, four hundred forty-eight thousand.