138015648576000
138,015,648,576,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138015648576000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
138015648576000 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 138015648576000:
29 × 35 × 53 × 13 × 192 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 19 × 19 × 31 × 61)See below for interesting mathematical facts about the number 138015648576000 from the Numbermatics database.
Names of 138015648576000
- Cardinal: 138015648576000 can be written as One hundred thirty-eight trillion, fifteen billion, six hundred forty-eight million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38015648576 × 1014
Factors of 138015648576000
Divisors of 138015648576000
- Number of divisors d(n): 5760
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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 27 30 31 32 36 38 39 40 45 48 50 52 54 57 60 61 62 64 65 72 75 76 78 80 81 90 93 95 96 100 104 108 114 117 120 122 124 125 128 130 135 144 150 152 155 156 160 162 171 180 183 186 190 192 195 200 208 216 225 228 234 240 243 244 247 248 250 256 260 270 279 285 288 300 304 305 310 312 320 324 325 342 351 360 361 366 372 375 380 384 390 400 403 405 416 432 450 456 465 468 475 480 486 488 494 496 500 512 513 520 540 549 558 570 576 585 589 600 608 610 620 624 640 648 650 675 684 702 720 722 732 741 744 750 760 768 775 780 793 800 806 810 832 837 855 864 900 912 915 930 936 950 960 972 975 976 988 992 1000 1026 1040 1053 1080 1083 1098 1116 1125 1140 1152 1159 1170 1178 1200 1209 1215 1216 1220 1235 1240 1248 1280 1296 1300 1350 1368 1395 1404 1425 1440 1444 1464 1482 1488 1500 1520 1525 1536 1539 1550 1560 1586 1600 1612 1620 1625 1647 1664 1674 1710 1728 1755 1767 1800 1805 1824 1830 1860 1872 1891 1900 1920 1944 1950 1952 1976 1984 2000 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393206976000 403554528000 424663534080 425974224000 431298901800 442357848000 445211769600 452510323200 453998844000 460052161920 479221002000 484265433600 494679744000 511169068800 530829417600 539123627250 552062594304 556514712000 558767808000 565637904000 567965632000 575065202400 589810464000 605331792000 613402882560 638961336000 663536772000 690078242880 707772556800 718831503000 726398150400 742019616000 754183872000 766753603200 807109056000 851948448000 862597803600 884715696000 890423539200 907997688000 920104323840 958442004000 1022338137600 1061658835200 1078247254500 1104125188608 1113029424000 1131275808000 1150130404800 1179620928000 1210663584000 1277922672000 1327073544000 1380156485760 1437663006000 1452796300800 1484039232000 1533507206400 1703896896000 1725195607200 1769431392000 1815995376000 1840208647680 1916884008000 2123317670400 2156494509000 2226058848000 2262551616000 2300260809600 2421327168000 2555845344000 2654147088000 2760312971520 2875326012000 3067014412800 3450391214400 3538862784000 3631990752000 3833768016000 4312989018000 4452117696000 4600521619200 5111690688000 5308294176000 5520625943040 5750652024000 6900782428800 7263981504000 7667536032000 8625978036000 9201043238400 10616588352000 11501304048000 13801564857600 15335072064000 17251956072000 23002608096000 27603129715200 34503912144000 46005216192000 69007824288000 138015648576000
- Sum of all divisors σ(n): 614746825684992
- Sum of proper divisors (its aliquot sum) s(n): 476731177108992
- 138015648576000 is an abundant number, because the sum of its proper divisors (476731177108992) is greater than itself. Its abundance is 338715528532992
Bases of 138015648576000
- Binary: 111110110000110010001011011010011110010000000002
- Hexadecimal: 0x7D8645B4F200
- Base-36: 1CX7IHPC00
Squares and roots of 138015648576000
- 138015648576000 squared (1380156485760002) is 19048319251853930827776000000
- 138015648576000 cubed (1380156485760003) is 2628966135827327353610545195646976000000000
-
The
square root of 138015648576000 is 11748006.1532159575 -
The
cube root of 138015648576000 is 51678.4457433377
Scales and comparisons
How big is 138015648576000?- 138,015,648,576,000 seconds is equal to 4,388,470 years, 37 weeks, 1 day.
-
To count from 1 to 138,015,648,576,000 would take you about ten million, nine hundred seventy-one thousand, one hundred seventy-six 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 138015648576000 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138015648576000
- 138015648576000 backwards is 000675846510831
- 138015648576000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138015648576000's digits is 54
- More coming soon!
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"Number 138015648576000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138015648576000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138015648576000/
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The information we have on file for 138015648576000 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 138015648576000, math, Factors of 138015648576000, curriculum, school, college, exams, university, Prime factorization of 138015648576000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, fifteen billion, six hundred forty-eight million, five hundred seventy-six thousand.