138729071520000
138,729,071,520,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138729071520000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
138729071520000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138729071520000:
28 × 33 × 54 × 132 × 19 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 19 × 73 × 137)See below for interesting mathematical facts about the number 138729071520000 from the Numbermatics database.
Names of 138729071520000
- Cardinal: 138729071520000 can be written as One hundred thirty-eight trillion, seven hundred twenty-nine billion, seventy-one million, five hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3872907152 × 1014
Factors of 138729071520000
Divisors of 138729071520000
- Number of divisors d(n): 4320
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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 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 73 75 76 78 80 90 95 96 100 104 108 114 117 120 125 128 130 135 137 144 146 150 152 156 160 169 171 180 190 192 195 200 208 216 219 225 228 234 240 247 250 256 260 270 274 285 288 292 300 304 312 320 325 338 342 351 360 365 375 380 384 390 400 411 416 432 438 450 456 468 475 480 494 500 507 513 520 540 548 570 576 584 585 600 608 624 625 640 650 657 675 676 684 685 702 720 730 741 750 760 768 780 800 822 832 845 855 864 876 900 912 936 949 950 960 975 988 1000 1014 1026 1040 1080 1095 1096 1125 1140 1152 1168 1170 1200 1216 1233 1235 1248 1250 1280 1300 1314 1350 1352 1368 1370 1387 1404 1425 1440 1460 1482 1500 1520 1521 1560 1600 1625 1644 1664 1690 1710 1728 1752 1755 1781 1800 1824 1825 1872 1875 1898 1900 1920 1950 1971 1976 2000 2028 2052 2055 2080 2160 2190 2192 2223 2250 2280 2304 2336 2340 2375 2400 2432 2466 2470 2496 2500 2535 2565 2600 2603 2628 2700 2704 2736 2740 2774 2808 2847 2850 2880 2920 2925 2964 3000 3040 3042 3120 3200 3211 3250 3285 3288 3328 3375 3380 3420 3425 3456 3504 3510 3562 3600 3648 3650 3699 3705 3744 3750 3796 3800 3840 3900 3942 3952 4000 4056 4104 4110 4160 4161 4225 4275 4320 4380 4384 4446 4500 4560 4563 4672 4680 4745 4750 4800 4864 4875 4932 4940 4992 5000 5070 5130 5200 5206 5256 5343 5400 5408 5472 5475 5480 5548 5616 5625 5694 5700 5760 5840 5850 5928 6000 6080 6084 6165 6175 6240 6400 6422 6500 6570 6576 6669 6750 6760 6840 6850 6912 6935 7008 7020 7124 7125 7200 7296 7300 7398 7410 7488 7500 7592 7600 7605 7800 7809 7884 7904 8000 8112 8125 8208 8220 8320 8322 8450 8541 8550 8640 8760 8768 8775 8892 8905 9000 9120 9125 9126 9344 9360 9490 9500 9600 9633 9750 9855 9864 9880 9984 10000 10001 10140 10260 10275 10400 10412 10512 10686 10800 10816 10944 10950 10960 11096 11115 11232 11250 11388 11400 11520 11680 11700 11856 11875 12000 12160 12168 12330 12337 12350 12480 12483 12675 12825 12844 13000 13015 13140 13152 13338 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34682267880000 46243023840000 69364535760000 138729071520000
- Sum of all divisors σ(n): 596655731548800
- Sum of proper divisors (its aliquot sum) s(n): 457926660028800
- 138729071520000 is an abundant number, because the sum of its proper divisors (457926660028800) is greater than itself. Its abundance is 319197588508800
Bases of 138729071520000
- Binary: 111111000101100011000010000011100101001000000002
- Hexadecimal: 0x7E2C61072900
- Base-36: 1D6B97AYO0
Squares and roots of 138729071520000
- 138729071520000 squared (1387290715200002) is 19245755284801275110400000000
- 138729071520000 cubed (1387290715200003) is 2669945761361614063777877495808000000000000
-
The
square root of 138729071520000 is 11778330.5913868795 -
The
cube root of 138729071520000 is 51767.3372198333
Scales and comparisons
How big is 138729071520000?- 138,729,071,520,000 seconds is equal to 4,411,155 years, 18 weeks, 4 days.
-
To count from 1 to 138,729,071,520,000 would take you about eleven million, twenty-seven thousand, eight hundred eighty-eight 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 138729071520000 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138729071520000
- 138729071520000 backwards is 000025170927831
- 138729071520000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138729071520000's digits is 45
- More coming soon!
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"Number 138729071520000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138729071520000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138729071520000/
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The information we have on file for 138729071520000 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 138729071520000, math, Factors of 138729071520000, curriculum, school, college, exams, university, Prime factorization of 138729071520000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred twenty-nine billion, seventy-one million, five hundred twenty thousand.