138305860318080
138,305,860,318,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138305860318080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
138305860318080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138305860318080:
27 × 33 × 5 × 73 × 13 × 172 × 6211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 17 × 17 × 6211)See below for interesting mathematical facts about the number 138305860318080 from the Numbermatics database.
Names of 138305860318080
- Cardinal: 138305860318080 can be written as One hundred thirty-eight trillion, three hundred five billion, eight hundred sixty million, three hundred eighteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3830586031808 × 1014
Factors of 138305860318080
Divisors of 138305860318080
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 27 28 30 32 34 35 36 39 40 42 45 48 49 51 52 54 56 60 63 64 65 68 70 72 78 80 84 85 90 91 96 98 102 104 105 108 112 117 119 120 126 128 130 135 136 140 144 147 153 156 160 168 170 180 182 189 192 195 196 204 208 210 216 221 224 234 238 240 245 252 255 260 270 272 273 280 288 289 294 306 312 315 320 336 340 343 351 357 360 364 378 384 390 392 408 416 420 432 441 442 448 455 459 468 476 480 490 504 510 520 540 544 546 560 576 578 585 588 595 612 624 630 637 640 663 672 680 686 702 714 720 728 735 756 765 780 784 816 819 832 833 840 864 867 882 884 896 910 918 936 945 952 960 980 1008 1020 1029 1040 1071 1080 1088 1092 1105 1120 1152 1156 1170 1176 1190 1224 1248 1260 1274 1323 1326 1344 1360 1365 1372 1404 1428 1440 1445 1456 1470 1512 1530 1547 1560 1568 1632 1638 1664 1666 1680 1715 1728 1734 1755 1764 1768 1785 1820 1836 1872 1890 1904 1911 1920 1960 1989 2016 2023 2040 2058 2080 2142 2160 2176 2184 2205 2210 2240 2295 2312 2340 2352 2380 2448 2457 2496 2499 2520 2548 2601 2646 2652 2688 2720 2730 2744 2808 2856 2880 2890 2912 2940 3024 3060 3087 3094 3120 3136 3185 3213 3264 3276 3315 3332 3360 3430 3456 3468 3510 3528 3536 3570 3640 3672 3744 3757 3780 3808 3822 3920 3978 4032 4046 4080 4095 4116 4160 4165 4284 4320 4335 4368 4410 4420 4459 4480 4590 4624 4641 4680 4704 4760 4896 4914 4992 4998 5040 5096 5145 5202 5292 5304 5355 5440 5460 5488 5616 5712 5733 5760 5780 5824 5831 5880 5967 6048 6069 6120 6174 6188 6211 6240 6272 6370 6426 6528 6552 6615 6630 6664 6720 6860 6936 7020 7056 7072 7140 7280 7344 7488 7497 7514 7560 7616 7644 7735 7803 7840 7956 8064 8092 8160 8190 8232 8320 8330 8568 8640 8670 8736 8820 8840 8918 9180 9248 9261 9282 9360 9408 9520 9555 9792 9828 9945 9996 10080 10115 10192 10290 10404 10584 10608 10710 10829 10880 10920 10976 11232 11271 11424 11466 11560 11648 11662 11760 11934 12096 12138 12240 12285 12348 12376 12422 12480 12495 12740 12852 13005 13104 13230 13260 13328 13377 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4067819421120 4322058134940 4610195343936 4939495011360 5122439271040 5319456166080 5762744179920 6585993348480 6915293015904 7683658906560 8135638842240 8644116269880 9220390687872 9878990022720 10638912332160 11525488359840 13830586031808 15367317813120 17288232539760 19757980045440 23050976719680 27661172063616 34576465079520 46101953439360 69152930159040 138305860318080
- Sum of all divisors σ(n): 653595828480000
- Sum of proper divisors (its aliquot sum) s(n): 515289968161920
- 138305860318080 is an abundant number, because the sum of its proper divisors (515289968161920) is greater than itself. Its abundance is 376984107843840
Bases of 138305860318080
- Binary: 111110111001001110101111010110010110011100000002
- Hexadecimal: 0x7DC9D7ACB380
- Base-36: 1D0WU2A5C0
Squares and roots of 138305860318080
- 138305860318080 squared (1383058603180802) is 19128510998324255998774886400
- 138305860318080 cubed (1383058603180803) is 2645585170227091563117698958044619866112000
-
The
square root of 138305860318080 is 11760351.1987559283 -
The
cube root of 138305860318080 is 51714.6425854509
Scales and comparisons
How big is 138305860318080?- 138,305,860,318,080 seconds is equal to 4,397,698 years, 28 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,305,860,318,080 would take you about ten million, nine hundred ninety-four thousand, two hundred forty-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 138305860318080 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138305860318080
- 138305860318080 backwards is 080813068503831
- 138305860318080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138305860318080's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138305860318080 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138305860318080 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138305860318080/
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Numbermatics. 2024. "Number 138305860318080 - Facts about the integer". https://numbermatics.com/n/138305860318080/
The information we have on file for 138305860318080 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!
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