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34014442995 = 345137878209
BaseRepresentation
bin11111101011011010…
…110011010111110011
310020210112011201220000
4133223122303113303
51024130144133440
623343115321043
72312623665201
oct375332632763
9106715151800
1034014442995
11134752a2515
126713450183
133290ca2760
14190967c071
15d412a3730
hex7eb6b35f3

34014442995 has 80 divisors (see below), whose sum is σ = 65755794720. Its totient is φ = 16722256896.

The previous prime is 34014442961. The next prime is 34014443003. The reversal of 34014442995 is 59924441043.

34014442995 is a `hidden beast` number, since 340 + 14 + 4 + 4 + 299 + 5 = 666.

It is not a de Polignac number, because 34014442995 - 28 = 34014442739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34014442995.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4139451 + ... + 4147659.

It is an arithmetic number, because the mean of its divisors is an integer number (821947434).

Almost surely, 234014442995 is an apocalyptic number.

34014442995 is a deficient number, since it is larger than the sum of its proper divisors (31741351725).

34014442995 is a wasteful number, since it uses less digits than its factorization.

34014442995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34014442995 in words is "thirty-four billion, fourteen million, four hundred forty-two thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 787 1053 1755 2361 3935 5265 7083 8209 10231 11805 21249 24627 30693 35415 41045 51155 63747 73881 92079 106245 106717 123135 153465 221643 276237 318735 320151 369405 460395 533585 664929 828711 960453 1108215 1381185 1600755 2881359 3324645 4143555 4802265 6460483 8644077 14406795 19381449 32302415 43220385 58144347 83986279 96907245 174433041 251958837 290721735 419931395 523299123 755876511 872165205 1259794185 2267629533 2616495615 3779382555 6802888599 11338147665 34014442995