138013983744000
138,013,983,744,000 is an even composite number composed of eight prime numbers multiplied together.
138013983744000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 138013983744000:
213 × 3 × 53 × 7 × 13 × 17 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 113 × 257)See below for interesting mathematical facts about the number 138013983744000 from the Numbermatics database.
Names of 138013983744000
- Cardinal: 138013983744000 can be written as One hundred thirty-eight trillion, thirteen billion, nine hundred eighty-three million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38013983744 × 1014
Factors of 138013983744000
Divisors of 138013983744000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 113 119 120 125 128 130 136 140 150 156 160 168 170 175 182 192 195 200 204 208 210 221 224 226 238 240 250 255 256 257 260 272 273 280 300 312 320 325 336 339 340 350 357 364 375 384 390 400 408 416 420 425 442 448 452 455 476 480 500 510 512 514 520 525 544 546 560 565 595 600 624 640 650 663 672 678 680 700 714 728 750 768 771 780 791 800 816 832 840 850 875 884 896 904 910 952 960 975 1000 1020 1024 1028 1040 1050 1088 1092 1105 1120 1130 1190 1200 1248 1275 1280 1285 1300 1326 1344 1356 1360 1365 1400 1428 1456 1469 1500 1536 1542 1547 1560 1582 1600 1625 1632 1664 1680 1695 1700 1750 1768 1785 1792 1799 1808 1820 1904 1920 1921 1950 2000 2040 2048 2056 2080 2100 2125 2176 2184 2210 2240 2260 2275 2373 2380 2400 2496 2550 2560 2570 2600 2625 2652 2688 2712 2720 2730 2800 2825 2856 2912 2938 2975 3000 3072 3084 3094 3120 3164 3200 3250 3264 3315 3328 3341 3360 3390 3400 3500 3536 3570 3584 3598 3616 3640 3808 3840 3842 3855 3900 3955 4000 4080 4096 4112 4160 4200 4250 4352 4368 4369 4407 4420 4480 4520 4550 4641 4746 4760 4800 4875 4992 5100 5120 5140 5200 5250 5304 5376 5397 5424 5440 5460 5525 5600 5650 5712 5763 5824 5876 5950 6000 6144 6168 6188 6240 6328 6375 6400 6425 6500 6528 6630 6656 6682 6720 6780 6800 6825 7000 7072 7140 7168 7196 7232 7280 7345 7616 7680 7684 7710 7735 7800 7910 8000 8160 8192 8224 8320 8400 8475 8500 8704 8736 8738 8814 8840 8925 8960 8995 9040 9100 9282 9492 9520 9600 9605 9750 9984 10023 10200 10240 10280 10283 10400 10500 10608 10752 10794 10848 10880 10920 11050 11200 11300 11375 11424 11526 11648 11752 11865 11900 12000 12288 12336 12376 12480 12656 12750 12800 12850 13000 13056 13107 13260 13312 13364 13440 13447 13560 13600 13650 14000 14125 14144 14280 14336 14392 14464 14560 14690 14875 15232 15360 15368 15420 15470 15600 15820 16000 16320 16448 16575 16640 16705 16800 16950 17000 17408 17472 17476 17628 17680 17850 17920 17990 18080 18200 18564 18984 19040 19200 19210 19275 19500 19775 19968 20046 20400 20480 20560 20566 20800 21000 21216 21504 21588 21696 21760 21840 21845 22035 22100 22400 22600 22750 22848 23052 23205 23296 23387 23504 23730 23800 24000 24576 24672 24752 24960 24973 25312 25500 25600 25700 26000 26112 26214 26520 26624 26728 26880 26894 26985 27120 27200 27300 27625 28000 28250 28288 28560 28672 28784 28815 28928 29041 29120 29380 29750 30464 30583 30720 30736 30840 30849 30940 31200 31640 32000 32125 32640 32896 33150 33280 33410 33600 33900 34000 34125 34816 34944 34952 35256 35360 35700 35840 35980 36160 36400 36725 37128 37968 38080 38400 38420 38550 38675 39000 39550 39936 40092 40341 40800 40960 41120 41132 41600 42000 42375 42432 43008 43176 43392 43520 43680 43690 44070 44200 44625 44800 44975 45200 45500 45696 46104 46410 46592 46774 47008 47460 47600 48000 48025 49344 49504 49920 49946 50115 50624 51000 51200 51400 51415 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1150116531200 1159781376000 1221362688000 1232267712000 1314418892800 1327057536000 1353078272000 1380139837440 1437645664000 1516637184000 1623693926400 1643023616000 1725174796800 1769410048000 1840186449920 1971628339200 2029617408000 2123292057600 2156468496000 2300233062400 2464535424000 2654115072000 2706156544000 2760279674880 2875291328000 3286047232000 3450349593600 3538820096000 3943256678400 4059234816000 4312936992000 4600466124800 4929070848000 5308230144000 5520559349760 5750582656000 6572094464000 6900699187200 8118469632000 8625873984000 9200932249600 9858141696000 10616460288000 11501165312000 13801398374400 17251747968000 19716283392000 23002330624000 27602796748800 34503495936000 46004661248000 69006991872000 138013983744000
- Sum of all divisors σ(n): 606168139659264
- Sum of proper divisors (its aliquot sum) s(n): 468154155915264
- 138013983744000 is an abundant number, because the sum of its proper divisors (468154155915264) is greater than itself. Its abundance is 330140172171264
Bases of 138013983744000
- Binary: 111110110000101111000100111100110100000000000002
- Hexadecimal: 0x7D85E279A000
- Base-36: 1CX6QYI7EO
Squares and roots of 138013983744000
- 138013983744000 squared (1380139837440002) is 19047859708889096257536000000
- 138013983744000 cubed (1380139837440003) is 2628871000220612303186424741494784000000000
-
The
square root of 138013983744000 is 11747935.2970639057 -
The
cube root of 138013983744000 is 51678.2379498083
Scales and comparisons
How big is 138013983744000?- 138,013,983,744,000 seconds is equal to 4,388,417 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,013,983,744,000 would take you about ten million, nine hundred seventy-one thousand and forty-four 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 138013983744000 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138013983744000
- 138013983744000 backwards is 000447389310831
- 138013983744000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138013983744000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 138013983744000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 138013983744000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138013983744000/
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Numbermatics. 2024. "Number 138013983744000 - Facts about the integer". https://numbermatics.com/n/138013983744000/
The information we have on file for 138013983744000 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 138013983744000, math, Factors of 138013983744000, curriculum, school, college, exams, university, Prime factorization of 138013983744000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, thirteen billion, nine hundred eighty-three million, seven hundred forty-four thousand.