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40142304930560 = 28574480167961
BaseRepresentation
bin10010010000010010110111…
…10100110110101100000000
312021010120022020202111101012
421020021123310312230000
520230142420030234220
6221213041552500052
711312120511021140
oct1110113364665400
9167116266674335
1040142304930560
111187728a6976a8
124603a2084a628
131952531839ba1
149cac7dc9a920
154992d7e85ac5
hex24825bd36b00

40142304930560 has 72 divisors (see below), whose sum is σ = 109889559771936. Its totient is φ = 13763075973120.

The previous prime is 40142304930551. The next prime is 40142304930659. The reversal of 40142304930560 is 6503940324104.

It is a super-2 number, since 2×401423049305602 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2240075021 + ... + 2240092940.

Almost surely, 240142304930560 is an apocalyptic number.

40142304930560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40142304930560 is an abundant number, since it is smaller than the sum of its proper divisors (69747254841376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40142304930560 is an equidigital number, since it uses as much as digits as its factorization.

40142304930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480167989 (or 4480167975 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 40142304930560 in words is "forty trillion, one hundred forty-two billion, three hundred four million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 4480167961 8960335922 17920671844 22400839805 31361175727 35841343688 44801679610 62722351454 71682687376 89603359220 125444702908 143365374752 156805878635 179206718440 250889405816 286730749504 313611757270 358413436880 501778811632 573461499008 627223514540 716826873760 1003557623264 1146922998016 1254447029080 1433653747520 2007115246528 2508894058160 2867307495040 4014230493056 5017788116320 5734614990080 8028460986112 10035576232640 20071152465280 40142304930560