40506943306399744
40,506,943,306,399,744 is an even composite number composed of four prime numbers multiplied together.
What does the number 40506943306399744 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 306 divisors.
40506943306399744 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred six divisors.
Prime factorization of 40506943306399744:
216 × 31 × 3372 × 4192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 337 × 337 × 419 × 419)See below for interesting mathematical facts about the number 40506943306399744 from the Numbermatics database.
Names of 40506943306399744
- Cardinal: 40506943306399744 can be written as Forty quadrillion, five hundred six trillion, nine hundred forty-three billion, three hundred six million, three hundred ninety-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 4.0506943306399744 × 1016
Factors of 40506943306399744
Divisors of 40506943306399744
- Number of divisors d(n): 306
-
Complete list of divisors:
1 2 4 8 16 31 32 62 64 124 128 248 256 337 419 496 512 674 838 992 1024 1348 1676 1984 2048 2696 3352 3968 4096 5392 6704 7936 8192 10447 10784 12989 13408 15872 16384 20894 21568 25978 26816 31744 32768 41788 43136 51956 53632 63488 65536 83576 86272 103912 107264 113569 126976 141203 167152 172544 175561 207824 214528 227138 253952 282406 334304 345088 351122 415648 429056 454276 507904 564812 668608 690176 702244 831296 858112 908552 1015808 1129624 1337216 1380352 1404488 1662592 1716224 1817104 2031616 2259248 2674432 2760704 2808976 3325184 3432448 3520639 3634208 4377293 4518496 5348864 5442391 5521408 5617952 6650368 6864896 7041278 7268416 8754586 9036992 10697728 10884782 11042816 11235904 13300736 13729792 14082556 14536832 17509172 18073984 21395456 21769564 22085632 22471808 26601472 27459584 28165112 29073664 35018344 36147968 42790912 43539128 44943616 47585411 53202944 56330224 58147328 59164057 70036688 72295936 85581824 87078256 89887232 95170822 106405888 112660448 116294656 118328114 140073376 144591872 171163648 174156512 179774464 190341644 212811776 225320896 232589312 236656228 280146752 289183744 342327296 348313024 359548928 380683288 425623552 450641792 465178624 473312456 560293504 578367488 684654592 696626048 719097856 761366576 851247104 901283584 930357248 946624912 1120587008 1156734976 1393252096 1438195712 1475147741 1522733152 1802567168 1834085767 1860714496 1893249824 2241174016 2313469952 2786504192 2876391424 2950295482 3045466304 3605134336 3668171534 3721428992 3786499648 4482348032 4626939904 5573008384 5752782848 5900590964 6090932608 7210268672 7336343068 7442857984 7572999296 8964696064 9253879808 11146016768 11505565696 11801181928 12181865216 14420537344 14672686136 15145998592 17929392128 19938287209 22292033536 23602363856 24363730432 28841074688 29345372272 30291997184 35858784256 39876574418 44584067072 47204727712 48727460864 57682149376 58690744544 60583994368 71717568512 79753148836 89168134144 94409455424 97454921728 115364298752 117381489088 121167988736 143435137024 159506297672 178336268288 188818910848 194909843456 230728597504 234762978176 242335977472 286870274048 319012595344 356672536576 377637821696 389819686912 469525956352 484671954944 618086903479 638025190688 755275643392 779639373824 939051912704 969343909888 1236173806958 1276050381376 1510551286784 1559278747648 1878103825408 1938687819776 2472347613916 2552100762752 3021102573568 3118557495296 3756207650816 3877375639552 4944695227832 5104201525504 6042205147136 7512415301632 9889390455664 10208403051008 12084410294272 15024830603264 19778780911328 20416806102016 24168820588544 30049661206528 39557561822656 40833612204032 48337641177088 60099322413056 79115123645312 81667224408064 96675282354176 120198644826112 158230247290624 163334448816128 316460494581248 326668897632256 632920989162496 653337795264512 1265841978324992 1306675590529024 2531683956649984 5063367913299968 10126735826599936 20253471653199872 40506943306399744
- Sum of all divisors σ(n): 84076144182030624
- Sum of proper divisors (its aliquot sum) s(n): 43569200875630880
- 40506943306399744 is an abundant number, because the sum of its proper divisors (43569200875630880) is greater than itself. Its abundance is 3062257569231136
Bases of 40506943306399744
- Binary: 100011111110100011011001101011101011011100000000000000002
- Hexadecimal: 0x8FE8D9AEB70000
- Base-36: B2UIGUYCHZ4
Squares and roots of 40506943306399744
- 40506943306399744 squared (405069433063997442) is 1640812456027883024725987123265536
- 40506943306399744 cubed (405069433063997443) is 66464297132755980572197766658839165332304674422784
-
The
square root of 40506943306399744 is 201263368.0191200219 -
The
cube root of 40506943306399744 is 343433.8965871423
Scales and comparisons
How big is 40506943306399744?- 40,506,943,306,399,744 seconds is equal to 1,287,995,500 years, 48 weeks, 6 days, 14 hours, 9 minutes, 4 seconds.
-
To count from 1 to 40,506,943,306,399,744 would take you about three billion, eight hundred sixty-three million, nine hundred eighty-six thousand, five hundred two 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 40506943306399744 cubic inches would be around 28619.5 feet tall.
Recreational maths with 40506943306399744
- 40506943306399744 backwards is 44799360334960504
- The number of decimal digits it has is: 17
- The sum of 40506943306399744's digits is 76
- More coming soon!
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