42920335144960000
42,920,335,144,960,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42920335144960000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5400 divisors.
42920335144960000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 42920335144960000:
214 × 54 × 72 × 13 × 312 × 41 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 31 × 31 × 41 × 167)See below for interesting mathematical facts about the number 42920335144960000 from the Numbermatics database.
Names of 42920335144960000
- Cardinal: 42920335144960000 can be written as Forty-two quadrillion, nine hundred twenty trillion, three hundred thirty-five billion, one hundred forty-four million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 4.292033514496 × 1016
Factors of 42920335144960000
Divisors of 42920335144960000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 41 49 50 52 56 62 64 65 70 80 82 91 98 100 104 112 124 125 128 130 140 155 160 164 167 175 182 196 200 205 208 217 224 245 248 250 256 260 280 287 310 320 325 328 334 350 364 392 400 403 410 416 434 448 455 490 496 500 512 520 533 560 574 620 625 637 640 650 656 668 700 728 775 784 800 806 820 832 835 868 875 896 910 961 980 992 1000 1024 1025 1040 1066 1085 1120 1148 1169 1225 1240 1250 1271 1274 1280 1300 1312 1336 1400 1435 1456 1519 1550 1568 1600 1612 1625 1640 1664 1670 1736 1750 1792 1820 1922 1960 1984 2000 2009 2015 2048 2050 2080 2132 2170 2171 2240 2275 2296 2338 2450 2480 2500 2542 2548 2560 2600 2624 2665 2672 2800 2821 2870 2912 3038 3100 3136 3185 3200 3224 3250 3280 3328 3340 3472 3500 3584 3640 3731 3844 3875 3920 3968 4000 4018 4030 4096 4100 4160 4175 4264 4340 4342 4375 4480 4550 4592 4676 4805 4900 4960 5000 5084 5096 5120 5125 5177 5200 5248 5330 5344 5425 5600 5642 5740 5824 5845 6076 6125 6200 6272 6355 6370 6400 6448 6500 6560 6656 6680 6727 6847 6944 7000 7168 7175 7280 7462 7595 7688 7750 7840 7936 8000 8036 8060 8125 8183 8192 8200 8320 8350 8528 8680 8684 8750 8897 8960 9100 9184 9352 9610 9800 9920 10000 10045 10075 10168 10192 10240 10250 10354 10400 10496 10660 10688 10850 10855 11200 11284 11375 11480 11648 11690 12152 12250 12400 12493 12544 12710 12740 12800 12896 13000 13120 13312 13325 13360 13454 13694 13888 14000 14105 14336 14350 14560 14924 15190 15197 15376 15500 15680 15872 15925 16000 16072 16120 16250 16366 16384 16400 16523 16640 16700 17056 17360 17368 17500 17794 17920 18200 18368 18655 18704 19220 19375 19600 19747 19840 20000 20090 20150 20336 20384 20480 20500 20708 20800 20875 20992 21320 21376 21700 21710 22400 22568 22750 22960 23296 23380 24025 24304 24500 24800 24986 25088 25420 25480 25600 25625 25792 25885 26000 26117 26240 26624 26650 26720 26908 27125 27388 27776 28000 28210 28672 28700 29120 29225 29848 30380 30394 30625 30752 31000 31360 31744 31775 31850 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4292033514496000 5365041893120000 6131476449280000 8584067028992000 10730083786240000 21460167572480000 42920335144960000
- Sum of all divisors σ(n): 143086423016119968
- Sum of proper divisors (its aliquot sum) s(n): 100166087871159968
- 42920335144960000 is an abundant number, because the sum of its proper divisors (100166087871159968) is greater than itself. Its abundance is 57245752726199968
Bases of 42920335144960000
- Binary: 100110000111101111010001010000011111010011000000000000002
- Hexadecimal: 0x987BD141F4C000
- Base-36: BQLZLRJ3FGG
Squares and roots of 42920335144960000
- 42920335144960000 squared (429203351449600002) is 1842155168955688544213401600000000
- 42920335144960000 cubed (429203351449600003) is 79065917240598565765118119530710695936000000000000
-
The
square root of 42920335144960000 is 207172235.4587119861 -
The
cube root of 42920335144960000 is 350123.3174844153
Scales and comparisons
How big is 42920335144960000?- 42,920,335,144,960,000 seconds is equal to 1,364,733,896 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,920,335,144,960,000 would take you about four billion, ninety-four million, two hundred one thousand, six hundred eighty-eight 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 42920335144960000 cubic inches would be around 29176.9 feet tall.
Recreational maths with 42920335144960000
- 42920335144960000 backwards is 00006944153302924
- 42920335144960000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42920335144960000's digits is 52
- More coming soon!
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"Number 42920335144960000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 42920335144960000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/42920335144960000/
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The information we have on file for 42920335144960000 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 42920335144960000, math, Factors of 42920335144960000, curriculum, school, college, exams, university, Prime factorization of 42920335144960000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, nine hundred twenty trillion, three hundred thirty-five billion, one hundred forty-four million, nine hundred sixty thousand.