42137659399680
42,137,659,399,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42137659399680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3360 divisors.
42137659399680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 42137659399680:
29 × 36 × 5 × 132 × 17 × 29 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 17 × 29 × 271)See below for interesting mathematical facts about the number 42137659399680 from the Numbermatics database.
Names of 42137659399680
- Cardinal: 42137659399680 can be written as Forty-two trillion, one hundred thirty-seven billion, six hundred fifty-nine million, three hundred ninety-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.213765939968 × 1013
Factors of 42137659399680
Divisors of 42137659399680
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 29 30 32 34 36 39 40 45 48 51 52 54 58 60 64 65 68 72 78 80 81 85 87 90 96 102 104 108 116 117 120 128 130 135 136 144 145 153 156 160 162 169 170 174 180 192 195 204 208 216 221 232 234 240 243 255 256 260 261 270 271 272 288 290 306 312 320 324 338 340 348 351 360 377 384 390 405 408 416 432 435 442 459 464 468 480 486 493 507 510 512 520 522 540 542 544 576 580 585 612 624 640 648 663 676 680 696 702 720 729 754 765 768 780 783 810 813 816 832 845 864 870 884 918 928 936 960 972 986 1014 1020 1040 1044 1053 1080 1084 1088 1105 1131 1152 1160 1170 1215 1224 1248 1280 1296 1305 1326 1352 1355 1360 1377 1392 1404 1440 1458 1479 1508 1521 1530 1536 1560 1566 1620 1626 1632 1664 1690 1728 1740 1755 1768 1836 1856 1872 1885 1920 1944 1972 1989 2028 2040 2080 2088 2106 2160 2168 2176 2210 2262 2295 2304 2320 2340 2349 2430 2439 2448 2465 2496 2535 2560 2592 2610 2652 2704 2710 2720 2754 2784 2808 2873 2880 2916 2958 3016 3042 3060 3120 3132 3159 3240 3252 3264 3315 3328 3380 3393 3456 3480 3510 3523 3536 3645 3672 3712 3744 3770 3840 3888 3915 3944 3978 4056 4065 4080 4131 4160 4176 4212 4320 4336 4352 4420 4437 4524 4563 4590 4607 4608 4640 4680 4698 4860 4878 4896 4901 4930 4992 5070 5184 5220 5265 5304 5408 5420 5440 5508 5568 5616 5655 5746 5760 5832 5916 5967 6032 6084 6120 6240 6264 6318 6409 6480 6504 6528 6630 6656 6760 6786 6885 6912 6960 7020 7046 7047 7072 7290 7317 7344 7395 7424 7488 7540 7605 7680 7776 7830 7859 7888 7956 8112 8130 8160 8262 8320 8352 8424 8619 8640 8672 8704 8840 8874 9048 9126 9180 9214 9280 9360 9396 9477 9720 9756 9792 9802 9860 9945 9984 10140 10179 10368 10440 10530 10569 10608 10816 10840 10880 11016 11136 11232 11310 11492 11520 11664 11745 11832 11934 12064 12168 12195 12240 12393 12480 12528 12636 12818 12960 13008 13056 13260 13311 13520 13572 13689 13770 13821 13824 13920 14040 14092 14094 14144 14365 14580 14634 14688 14703 14790 14848 14976 15080 15210 15552 15660 15718 15776 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181627842240 190668142080 195081756480 202584900960 206557153920 216090561024 219466976040 234098107776 242170456320 247868584704 249335262720 260109008640 263360371248 270113201280 275409538560 290604547584 292622634720 309835730880 312130810368 324135841536 329200464060 351147161664 360150935040 363255684480 390163512960 405169801920 413114307840 438933952080 468196215552 484340912640 495737169408 520218017280 526720742496 540226402560 585245269440 619671461760 648271683072 658400928120 702294323328 726511368960 780327025920 810339603840 826228615680 877867904160 936392431104 1053441484992 1080452805120 1170490538880 1239342923520 1316801856240 1404588646656 1453022737920 1560654051840 1620679207680 1755735808320 2106882969984 2340981077760 2478685847040 2633603712480 2809177293312 3241358415360 3511471616640 4213765939968 4681962155520 5267207424960 7022943233280 8427531879936 10534414849920 14045886466560 21068829699840 42137659399680
- Sum of all divisors σ(n): 180327017439360
- Sum of proper divisors (its aliquot sum) s(n): 138189358039680
- 42137659399680 is an abundant number, because the sum of its proper divisors (138189358039680) is greater than itself. Its abundance is 96051698640000
Bases of 42137659399680
- Binary: 10011001010010111100000011100001011110000000002
- Hexadecimal: 0x2652F0385E00
- Base-36: EXPRUG000
Squares and roots of 42137659399680
- 42137659399680 squared (421376593996802) is 1775582339683440257984102400
- 42137659399680 cubed (421376593996803) is 74818883865667723062483536663367647232000
-
The
square root of 42137659399680 is 6491352.6633268047 -
The
cube root of 42137659399680 is 34798.2018381227
Scales and comparisons
How big is 42137659399680?- 42,137,659,399,680 seconds is equal to 1,339,847 years, 11 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 42,137,659,399,680 would take you about three million, three hundred forty-nine thousand, six hundred eighteen 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 42137659399680 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42137659399680
- 42137659399680 backwards is 08699395673124
- 42137659399680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42137659399680's digits is 72
- More coming soon!
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"Number 42137659399680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42137659399680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42137659399680/
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The information we have on file for 42137659399680 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 42137659399680, math, Factors of 42137659399680, curriculum, school, college, exams, university, Prime factorization of 42137659399680, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred thirty-seven billion, six hundred fifty-nine million, three hundred ninety-nine thousand, six hundred eighty.