40920766432920000
40,920,766,432,920,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40920766432920000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2800 divisors.
40920766432920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred divisors.
Prime factorization of 40920766432920000:
26 × 34 × 54 × 11 × 29 × 281 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 281 × 140897)See below for interesting mathematical facts about the number 40920766432920000 from the Numbermatics database.
Names of 40920766432920000
- Cardinal: 40920766432920000 can be written as Forty quadrillion, nine hundred twenty trillion, seven hundred sixty-six billion, four hundred thirty-two million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 4.092076643292 × 1016
Factors of 40920766432920000
Divisors of 40920766432920000
- Number of divisors d(n): 2800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 125 132 135 144 145 150 160 162 165 174 176 180 192 198 200 216 220 225 232 240 250 261 264 270 275 281 288 290 297 300 319 320 324 330 348 352 360 375 396 400 405 432 435 440 450 464 480 495 500 522 528 540 550 562 576 580 594 600 625 638 648 660 675 696 704 720 725 750 783 792 800 810 825 843 864 870 880 891 900 928 957 960 990 1000 1044 1056 1080 1100 1124 1125 1160 1188 1200 1250 1276 1296 1305 1320 1350 1375 1392 1405 1440 1450 1485 1500 1566 1584 1595 1600 1620 1650 1686 1728 1740 1760 1782 1800 1856 1875 1914 1980 2000 2025 2088 2112 2160 2175 2200 2248 2250 2320 2349 2376 2400 2475 2500 2529 2552 2592 2610 2640 2700 2750 2784 2810 2871 2880 2900 2970 3000 3091 3132 3168 3190 3240 3300 3372 3375 3480 3520 3564 3600 3625 3750 3828 3915 3960 4000 4050 4125 4176 4215 4320 4350 4400 4455 4496 4500 4640 4698 4752 4785 4800 4950 5000 5058 5104 5184 5220 5280 5400 5500 5568 5620 5625 5742 5800 5940 6000 6182 6264 6336 6380 6480 6525 6600 6744 6750 6875 6960 7025 7128 7200 7250 7425 7500 7587 7656 7830 7920 7975 8000 8100 8149 8250 8352 8430 8613 8640 8700 8800 8910 8992 9000 9273 9280 9396 9504 9570 9900 10000 10116 10125 10208 10440 10560 10800 10875 11000 11240 11250 11484 11600 11745 11880 12000 12364 12375 12528 12645 12760 12960 13050 13200 13488 13500 13750 13920 14050 14256 14355 14400 14500 14850 15000 15174 15312 15455 15660 15840 15950 16200 16298 16500 16704 16860 16875 17226 17400 17600 17820 17984 18000 18125 18546 18792 19008 19140 19575 19800 20000 20232 20250 20416 20625 20880 21075 21600 21750 22000 22275 22480 22500 22761 22968 23200 23490 23760 23925 24000 24447 24728 24750 25056 25290 25520 25839 25920 26100 26400 26976 27000 27500 27819 27840 28100 28512 28710 29000 29700 30000 30348 30624 30910 31320 31680 31900 32400 32596 32625 33000 33720 33750 34452 34800 35125 35640 36000 36250 37092 37125 37584 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90935036517600 93001741893000 94070727432000 94723996372500 101038929464000 102301916082300 103335268770000 109122043821120 113668795647000 116252177366250 117588409290000 124002322524000 126298661830000 127877395102875 128278264680000 136402554776400 137780358360000 141106091148000 142085994558750 145625503320000 148802787028800 151558394196000 155002903155000 156784545720000 163683065731680 170503193470500 176382613935000 181870073035200 186003483786000 189447992745000 204603832164600 206670537540000 213128991838125 227337591294000 232504354732500 235176818580000 248004645048000 252597323660000 255754790205750 272805109552800 282212182296000 284171989117500 303116788392000 310005806310000 327366131463360 341006386941000 352765227870000 372006967572000 378895985490000 409207664329200 413341075080000 426257983676250 454675182588000 465008709465000 470353637160000 505194647320000 511509580411500 545610219105600 568343978235000 620011612620000 639386975514375 682012773882000 705530455740000 744013935144000 757791970980000 818415328658400 852515967352500 909350365176000 930017418930000 1023019160823000 1136687956470000 1240023225240000 1278773951028750 1364025547764000 1411060911480000 1515583941960000 1636830657316800 1705031934705000 1860034837860000 2046038321646000 2273375912940000 2557547902057500 2728051095528000 3410063869410000 3720069675720000 4092076643292000 4546751825880000 5115095804115000 6820127738820000 8184153286584000 10230191608230000 13640255477640000 20460383216460000 40920766432920000
- Sum of all divisors σ(n): 171670852070989920
- Sum of proper divisors (its aliquot sum) s(n): 130750085638069920
- 40920766432920000 is an abundant number, because the sum of its proper divisors (130750085638069920) is greater than itself. Its abundance is 89829319205149920
Bases of 40920766432920000
- Binary: 100100010110000100111000011000110010101111000001110000002
- Hexadecimal: 0x916138632BC1C0
- Base-36: B6X78KVA400
Squares and roots of 40920766432920000
- 40920766432920000 squared (409207664329200002) is 1674509125457592220859726400000000
- 40920766432920000 cubed (409207664329200003) is 68522196812643264786322007093015153088000000000000
-
The
square root of 40920766432920000 is 202288819.3472886925 -
The
cube root of 40920766432920000 is 344599.4551445335
Scales and comparisons
How big is 40920766432920000?- 40,920,766,432,920,000 seconds is equal to 1,301,153,796 years, 16 weeks, 6 days, 12 hours.
-
To count from 1 to 40,920,766,432,920,000 would take you about three billion, nine hundred three million, four hundred sixty-one thousand, three 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 40920766432920000 cubic inches would be around 28716.6 feet tall.
Recreational maths with 40920766432920000
- 40920766432920000 backwards is 00002923466702904
- 40920766432920000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40920766432920000's digits is 54
- More coming soon!
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"Number 40920766432920000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 40920766432920000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/40920766432920000/
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The information we have on file for 40920766432920000 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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