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42342000311034 = 2331214364573097
BaseRepresentation
bin10011010000010100000111…
…11000110011101011111010
312112220212002210200202102000
421220022003320303223322
521022212404034423114
6230015351342521430
711630052145163514
oct1150120370635372
9175825083622360
1042342000311034
111254516135a506
1248ba1b6296276
131a81aab265a88
14a655141b4bb4
154d662c7b4e09
hex268283e33afa

42342000311034 has 32 divisors (see below), whose sum is σ = 94101084253440. Its totient is φ = 14112837569376.

The previous prime is 42342000311011. The next prime is 42342000311041. The reversal of 42342000311034 is 43011300024324.

42342000311034 is a `hidden beast` number, since 4 + 2 + 342 + 0 + 0 + 0 + 311 + 0 + 3 + 4 = 666.

42342000311034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42342000310989 and 42342000311007.

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 15 ways as a sum of consecutive naturals, for example, 31630827 + ... + 32942270.

It is an arithmetic number, because the mean of its divisors is an integer number (2940658882920).

Almost surely, 242342000311034 is an apocalyptic number.

42342000311034 is an abundant number, since it is smaller than the sum of its proper divisors (51759083942406).

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

42342000311034 is a wasteful number, since it uses less digits than its factorization.

42342000311034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64585251 (or 64585245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42342000311034 its reverse (43011300024324), we get a palindrome (85353300335358).

The spelling of 42342000311034 in words is "forty-two trillion, three hundred forty-two billion, three hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 12143 24286 36429 72858 109287 218574 327861 655722 64573097 129146194 193719291 387438582 581157873 1162315746 1743473619 3486947238 784111116871 1568222233742 2352333350613 4704666701226 7057000051839 14114000103678 21171000155517 42342000311034