137204085018000
137,204,085,018,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137204085018000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
137204085018000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 137204085018000:
24 × 3 × 53 × 7 × 112 × 13 × 373 × 41
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 37 × 37 × 37 × 41)See below for interesting mathematical facts about the number 137204085018000 from the Numbermatics database.
Names of 137204085018000
- Cardinal: 137204085018000 can be written as One hundred thirty-seven trillion, two hundred four billion, eighty-five million, eighteen thousand.
Scientific notation
- Scientific notation: 1.37204085018 × 1014
Factors of 137204085018000
Divisors of 137204085018000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 33 35 37 39 40 41 42 44 48 50 52 55 56 60 65 66 70 74 75 77 78 80 82 84 88 91 100 104 105 110 111 112 120 121 123 125 130 132 140 143 148 150 154 156 164 165 168 175 176 182 185 195 200 205 208 210 220 222 231 240 242 246 250 259 260 264 273 275 280 286 287 296 300 308 312 325 328 330 336 350 363 364 370 375 385 390 400 407 410 420 429 440 444 451 455 462 481 484 492 500 518 520 525 528 533 546 550 555 560 572 574 592 600 605 615 616 624 650 656 660 700 715 726 728 740 750 770 777 780 814 820 825 840 847 858 861 875 880 888 902 910 924 925 962 968 975 984 1000 1001 1025 1036 1040 1050 1066 1092 1100 1110 1144 1148 1155 1200 1210 1221 1230 1232 1295 1300 1320 1353 1365 1369 1375 1400 1430 1435 1443 1452 1456 1480 1500 1517 1540 1554 1560 1573 1599 1625 1628 1640 1650 1680 1694 1716 1722 1750 1776 1804 1815 1820 1848 1850 1924 1925 1936 1950 1968 2000 2002 2035 2050 2072 2100 2132 2145 2184 2200 2220 2255 2275 2288 2296 2310 2405 2420 2442 2460 2541 2590 2600 2625 2640 2665 2706 2730 2738 2750 2775 2800 2849 2860 2870 2886 2904 2960 3000 3003 3025 3034 3075 3080 3108 3120 3146 3157 3198 3250 3256 3280 3300 3367 3388 3432 3444 3500 3575 3608 3630 3640 3696 3700 3731 3848 3850 3885 3900 4004 4070 4100 4107 4125 4144 4200 4235 4264 4290 4305 4368 4400 4440 4477 4510 4550 4551 4592 4620 4625 4719 4810 4840 4875 4884 4920 4961 5005 5082 5125 5180 5200 5250 5291 5330 5412 5460 5476 5500 5550 5698 5720 5740 5772 5775 5808 5863 6000 6006 6050 6068 6105 6150 6160 6216 6292 6314 6396 6475 6500 6512 6600 6734 6765 6776 6825 6845 6864 6888 7000 7150 7175 7215 7216 7260 7280 7400 7462 7585 7696 7700 7770 7800 7865 7995 8008 8140 8200 8214 8250 8400 8470 8528 8547 8580 8610 8880 8954 9020 9075 9100 9102 9240 9250 9438 9471 9583 9620 9625 9680 9750 9768 9840 9922 10010 10101 10164 10175 10250 10360 10500 10582 10619 10660 10725 10824 10920 10952 11000 11011 11100 11193 11275 11375 11396 11440 11480 11544 11550 11726 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836610274500 879513365500 890935617000 914693900120 927054628500 959469126000 980029178700 1039424886500 1055416038600 1097632680144 1115480366000 1133918058000 1143367375150 1225036473375 1236072838000 1247309863800 1306705571600 1319270048250 1372040850180 1507737198000 1559137329750 1633381964500 1673220549000 1715051062725 1759026731000 1781871234000 1829387800240 1854109257000 1960058357400 2078849773000 2110832077200 2286734750300 2450072946750 2494619727600 2638540096500 2744081700360 2858418437875 3118274659500 3266763929000 3346441098000 3430102125450 3518053462000 3708218514000 3920116714800 4157699546000 4573469500600 4900145893500 5277080193000 5488163400720 5716836875750 6236549319000 6533527858000 6860204250900 8575255313625 9146939001200 9800291787000 10554160386000 11433673751500 12473098638000 13720408501800 17150510627250 19600583574000 22867347503000 27440817003600 34301021254500 45734695006000 68602042509000 137204085018000
- Sum of all divisors σ(n): 630041854740480
- Sum of proper divisors (its aliquot sum) s(n): 492837769722480
- 137204085018000 is an abundant number, because the sum of its proper divisors (492837769722480) is greater than itself. Its abundance is 355633684704480
Bases of 137204085018000
- Binary: 111110011001001010100001011111111001101100100002
- Hexadecimal: 0x7CC950BFCD90
- Base-36: 1CMUOPPQXC
Squares and roots of 137204085018000
- 137204085018000 squared (1372040850180002) is 18824960945626572060324000000
- 137204085018000 cubed (1372040850180003) is 2582861542044277868244597520625832000000000
-
The
square root of 137204085018000 is 11713414.7462642165 -
The
cube root of 137204085018000 is 51576.9528580275
Scales and comparisons
How big is 137204085018000?- 137,204,085,018,000 seconds is equal to 4,362,665 years, 26 weeks, 1 day, 6 hours, 20 minutes.
-
To count from 1 to 137,204,085,018,000 would take you about ten million, nine hundred six thousand, six hundred sixty-three 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 137204085018000 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137204085018000
- 137204085018000 backwards is 000810580402731
- 137204085018000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137204085018000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 137204085018000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 137204085018000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137204085018000/
Chicago style:
Numbermatics. 2024. "Number 137204085018000 - Facts about the integer". https://numbermatics.com/n/137204085018000/
The information we have on file for 137204085018000 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 137204085018000, math, Factors of 137204085018000, curriculum, school, college, exams, university, Prime factorization of 137204085018000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, two hundred four billion, eighty-five million, eighteen thousand.