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34019214009 = 311372711719
BaseRepresentation
bin11111101011101101…
…000000001010111001
310020210212011010111020
4133223231000022321
51024132404322014
623343405453053
72313012355644
oct375355001271
9106725133436
1034019214009
1113477a61000
126714b71189
133291c83241
14190a160a5b
15d418e71a9
hex7ebb402b9

34019214009 has 32 divisors (see below), whose sum is σ = 49964328960. Its totient is φ = 20587588560.

The previous prime is 34019213999. The next prime is 34019214023. The reversal of 34019214009 is 90041291043.

It is a de Polignac number, because none of the positive numbers 2k-34019214009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34019214109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2897052 + ... + 2908770.

It is an arithmetic number, because the mean of its divisors is an integer number (1561385280).

Almost surely, 234019214009 is an apocalyptic number.

It is an amenable number.

34019214009 is a deficient number, since it is larger than the sum of its proper divisors (15945114951).

34019214009 is a wasteful number, since it uses less digits than its factorization.

34019214009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 34019214009 in words is "thirty-four billion, nineteen million, two hundred fourteen thousand, nine".

Divisors: 1 3 11 33 121 363 727 1331 2181 3993 7997 11719 23991 35157 87967 128909 263901 386727 967637 1417999 2902911 4253997 8519713 15597989 25559139 46793967 93716843 281150529 1030885273 3092655819 11339738003 34019214009