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42312454660314 = 2335325757526171
BaseRepresentation
bin10011001111011101000101…
…10101000110000011011010
312112211000211201100012002000
421213232202311012003122
521021221401343112224
6225554023501021430
711624655033250236
oct1147564265060332
9175730751305060
1042312454660314
111253367a632853
1248b452b554876
131a7c080061207
14a63d1023b5c6
154d599d9d80c9
hex267ba2d460da

42312454660314 has 64 divisors (see below), whose sum is σ = 96174555396480. Its totient is φ = 13784190750720.

The previous prime is 42312454660303. The next prime is 42312454660321. The reversal of 42312454660314 is 41306645421324.

42312454660314 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 24 + 5 + 4 + 6 + 603 + 14 = 666.

42312454660314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423124546603142 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42312454660314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28027552 + ... + 29498619.

It is an arithmetic number, because the mean of its divisors is an integer number (1502727428070).

Almost surely, 242312454660314 is an apocalyptic number.

42312454660314 is an abundant number, since it is smaller than the sum of its proper divisors (53862100736166).

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

42312454660314 is a wasteful number, since it uses less digits than its factorization.

42312454660314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57526492 (or 57526486 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 42312454660314 in words is "forty-two trillion, three hundred twelve billion, four hundred fifty-four million, six hundred sixty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 257 318 477 514 771 954 1431 1542 2313 2862 4626 6939 13621 13878 27242 40863 81726 122589 245178 367767 735534 57526171 115052342 172578513 345157026 517735539 1035471078 1553206617 3048887063 3106413234 6097774126 9146661189 14784225947 18293322378 27439983567 29568451894 44352677841 54879967134 82319950701 88705355682 133058033523 164639901402 266116067046 399174100569 783563975191 798348201138 1567127950382 2350691925573 4701383851146 7052075776719 14104151553438 21156227330157 42312454660314