138660920496000
138,660,920,496,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138660920496000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
138660920496000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 138660920496000:
27 × 36 × 53 × 72 × 19 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 113 × 113)See below for interesting mathematical facts about the number 138660920496000 from the Numbermatics database.
Names of 138660920496000
- Cardinal: 138660920496000 can be written as One hundred thirty-eight trillion, six hundred sixty billion, nine hundred twenty million, four hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38660920496 × 1014
Factors of 138660920496000
Divisors of 138660920496000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 113 114 120 125 126 128 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 224 225 226 228 240 243 245 250 252 266 270 280 285 288 294 300 304 315 320 324 336 339 342 350 360 375 378 380 384 392 399 400 405 420 432 441 448 450 452 456 475 480 486 490 500 504 513 525 532 540 560 565 567 570 576 588 600 608 630 640 648 665 672 675 678 684 700 720 729 735 750 756 760 784 791 798 800 810 840 855 864 875 882 896 900 904 912 931 945 950 960 972 980 1000 1008 1017 1026 1050 1064 1080 1120 1125 1130 1134 1140 1152 1176 1197 1200 1215 1216 1225 1260 1296 1323 1330 1344 1350 1356 1368 1400 1425 1440 1458 1470 1500 1512 1520 1539 1568 1575 1582 1596 1600 1620 1680 1695 1701 1710 1728 1750 1764 1800 1808 1824 1862 1890 1900 1920 1944 1960 1995 2000 2016 2025 2034 2052 2100 2128 2147 2160 2205 2240 2250 2260 2268 2280 2352 2373 2375 2394 2400 2430 2432 2450 2520 2565 2592 2625 2646 2660 2688 2700 2712 2736 2793 2800 2825 2835 2850 2880 2916 2940 3000 3024 3040 3051 3078 3136 3150 3164 3192 3200 3240 3325 3360 3375 3390 3402 3420 3456 3500 3528 3591 3600 3616 3645 3648 3675 3724 3780 3800 3888 3920 3955 3969 3990 4000 4032 4050 4068 4104 4200 4256 4275 4294 4320 4410 4480 4500 4520 4536 4560 4617 4655 4704 4725 4746 4750 4788 4800 4860 4900 5040 5085 5103 5130 5184 5250 5292 5320 5400 5424 5472 5537 5586 5600 5650 5670 5700 5760 5832 5880 5985 6000 6048 6075 6080 6102 6125 6156 6272 6300 6328 6384 6441 6480 6615 6650 6720 6750 6780 6804 6840 7000 7056 7119 7125 7182 7200 7232 7290 7296 7350 7448 7560 7600 7695 7776 7840 7875 7910 7938 7980 8000 8064 8100 8136 8208 8379 8400 8475 8505 8512 8550 8588 8640 8820 9000 9040 9072 9120 9153 9234 9310 9408 9450 9492 9500 9576 9600 9720 9800 9975 10080 10125 10170 10206 10260 10368 10500 10584 10640 10735 10773 10800 10848 10944 11025 11074 11172 11200 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1824485796000 1848812273280 1925846118000 1980870292800 2166576882750 2200966992000 2311015341600 2432647728000 2476087866000 2567794824000 2773218409920 2829814704000 2888769177000 3081353788800 3301450488000 3466523012400 3648971592000 3851692236000 3961740585600 4333153765500 4622030683200 4952175732000 5135589648000 5546436819840 5777538354000 6602900976000 6933046024800 7297943184000 7703384472000 8666307531000 9244061366400 9904351464000 11555076708000 13866092049600 15406768944000 17332615062000 19808702928000 23110153416000 27732184099200 34665230124000 46220306832000 69330460248000 138660920496000
- Sum of all divisors σ(n): 638567481754800
- Sum of proper divisors (its aliquot sum) s(n): 499906561258800
- 138660920496000 is an abundant number, because the sum of its proper divisors (499906561258800) is greater than itself. Its abundance is 361245640762800
Bases of 138660920496000
- Binary: 111111000011100100000101110100100001111100000002
- Hexadecimal: 0x7E1C82E90F80
- Base-36: 1D5FY3Y000
Squares and roots of 138660920496000
- 138660920496000 squared (1386609204960002) is 19226850872798032886016000000
- 138660920496000 cubed (1386609204960003) is 2666012840261496247073058006183936000000000
-
The
square root of 138660920496000 is 11775437.1679356347 -
The
cube root of 138660920496000 is 51758.8588841511
Scales and comparisons
How big is 138660920496000?- 138,660,920,496,000 seconds is equal to 4,408,988 years, 19 weeks.
-
To count from 1 to 138,660,920,496,000 would take you about eleven million, twenty-two thousand, four hundred seventy 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 138660920496000 cubic inches would be around 4313.2 feet tall.
Recreational maths with 138660920496000
- 138660920496000 backwards is 000694029066831
- 138660920496000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138660920496000's digits is 54
- More coming soon!
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MLA style:
"Number 138660920496000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138660920496000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138660920496000/
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Numbermatics. 2024. "Number 138660920496000 - Facts about the integer". https://numbermatics.com/n/138660920496000/
The information we have on file for 138660920496000 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 138660920496000, math, Factors of 138660920496000, curriculum, school, college, exams, university, Prime factorization of 138660920496000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred sixty billion, nine hundred twenty million, four hundred ninety-six thousand.