40957394136064000
40,957,394,136,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 40957394136064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
40957394136064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 40957394136064000:
213 × 53 × 7 × 174 × 37 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 17 × 37 × 43 × 43)See below for interesting mathematical facts about the number 40957394136064000 from the Numbermatics database.
Names of 40957394136064000
- Cardinal: 40957394136064000 can be written as Forty quadrillion, nine hundred fifty-seven trillion, three hundred ninety-four billion, one hundred thirty-six million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.0957394136064 × 1016
Factors of 40957394136064000
Divisors of 40957394136064000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 43 50 56 64 68 70 74 80 85 86 100 112 119 125 128 136 140 148 160 170 172 175 185 200 215 224 238 250 256 259 272 280 289 296 301 320 340 344 350 370 400 425 430 448 476 500 512 518 544 560 578 592 595 602 629 640 680 688 700 731 740 800 850 860 875 896 925 952 1000 1024 1036 1075 1088 1120 1156 1184 1190 1204 1258 1280 1295 1360 1376 1400 1445 1462 1480 1505 1591 1600 1700 1720 1750 1792 1849 1850 1904 2000 2023 2048 2072 2125 2150 2176 2240 2312 2368 2380 2408 2516 2560 2590 2720 2752 2800 2890 2924 2960 2975 3010 3145 3182 3200 3400 3440 3500 3584 3655 3698 3700 3808 4000 4046 4096 4144 4250 4300 4352 4403 4480 4624 4625 4736 4760 4816 4913 5032 5117 5120 5180 5375 5440 5504 5600 5780 5848 5920 5950 6020 6290 6364 6400 6475 6800 6880 7000 7168 7225 7310 7396 7400 7525 7616 7955 8000 8092 8192 8288 8500 8600 8704 8806 8960 9245 9248 9250 9472 9520 9632 9826 10064 10115 10234 10240 10360 10693 10750 10880 11008 11137 11200 11560 11696 11840 11900 12040 12427 12580 12728 12800 12943 12950 13600 13760 14000 14336 14450 14620 14792 14800 14875 15050 15232 15725 15910 16000 16184 16576 17000 17200 17408 17612 17920 18275 18490 18496 18500 18944 19040 19264 19652 20128 20230 20468 20480 20720 21386 21500 21760 22015 22016 22274 22400 23120 23392 23680 23800 24080 24565 24854 25160 25456 25585 25600 25886 25900 27047 27200 27520 28000 28672 28900 29240 29584 29600 29750 30100 30464 31433 31450 31820 32000 32368 32375 33152 34000 34391 34400 34816 35224 35840 36125 36550 36980 36992 37000 37625 37888 38080 38528 39304 39775 40256 40460 40936 40960 41440 42772 43000 43520 44030 44032 44548 44800 46225 46240 46784 47360 47600 48160 49130 49708 50320 50575 50912 51170 51200 51772 51800 53465 54094 54400 55040 55685 56000 57344 57800 58480 59168 59200 59500 60200 60928 62135 62866 62900 63640 64000 64715 64736 64750 66304 68000 68413 68782 68800 69632 70448 71680 72250 73100 73960 73984 74000 74851 75250 75776 76160 77056 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81914788272128 86044945664000 91422754768000 95249753804800 96370339143680 102393485340160 110695659827200 117021126103040 119062192256000 120462923929600 127991856675200 136071076864000 138369574784000 141721086976000 146276407628800 150578654912000 158136656896000 159989820844000 163829576544256 172089891328000 182845509536000 190499507609600 204786970680320 221391319654400 234042252206080 238124384512000 240925847859200 255983713350400 276739149568000 292552815257600 301157309824000 319979641688000 327659153088512 344179782656000 365691019072000 409573941360640 476248769024000 481851695718400 511967426700800 553478299136000 585105630515200 602314619648000 639959283376000 731382038144000 819147882721280 952497538048000 1023934853401600 1106956598272000 1170211261030400 1204629239296000 1279918566752000 1462764076288000 1638295765442560 2047869706803200 2409258478592000 2559837133504000 2925528152576000 4095739413606400 5119674267008000 5851056305152000 8191478827212800 10239348534016000 20478697068032000 40957394136064000
- Sum of all divisors σ(n): 130516838556002496
- Sum of proper divisors (its aliquot sum) s(n): 89559444419938496
- 40957394136064000 is an abundant number, because the sum of its proper divisors (89559444419938496) is greater than itself. Its abundance is 48602050283874496
Bases of 40957394136064000
- Binary: 100100011000001010001000011100000110011111100000000000002
- Hexadecimal: 0x9182887067E000
- Base-36: B7A6N4417GG
Squares and roots of 40957394136064000
- 40957394136064000 squared (409573941360640002) is 1677508134416889732945412096000000
- 40957394136064000 cubed (409573941360640003) is 68706361827765979848099708331722375430144000000000
-
The
square root of 40957394136064000 is 202379332.2848556095 -
The
cube root of 40957394136064000 is 344702.2401411397
Scales and comparisons
How big is 40957394136064000?- 40,957,394,136,064,000 seconds is equal to 1,302,318,443 years, 51 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 40,957,394,136,064,000 would take you about three billion, nine hundred six million, nine hundred fifty-five thousand, three hundred thirty-one 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 40957394136064000 cubic inches would be around 28725.2 feet tall.
Recreational maths with 40957394136064000
- 40957394136064000 backwards is 00046063149375904
- The number of decimal digits it has is: 17
- The sum of 40957394136064000's digits is 61
- More coming soon!
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"Number 40957394136064000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 40957394136064000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/40957394136064000/
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The information we have on file for 40957394136064000 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 40957394136064000, math, Factors of 40957394136064000, curriculum, school, college, exams, university, Prime factorization of 40957394136064000, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, nine hundred fifty-seven trillion, three hundred ninety-four billion, one hundred thirty-six million, sixty-four thousand.