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34171542440 = 2357122041223
BaseRepresentation
bin11111110100110010…
…000101101110101000
310021012110210012210222
4133310302011232220
51024440403324230
623410450425212
72316542214110
oct376462055650
9107173705728
1034171542440
1113545a43672
126757b92208
1332b76b8bc9
141922494040
15d4ee866e5
hex7f4c85ba8

34171542440 has 32 divisors (see below), whose sum is σ = 87869681280. Its totient is φ = 11715957312.

The previous prime is 34171542367. The next prime is 34171542443. The reversal of 34171542440 is 4424517143.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34171542440.

It is not an unprimeable number, because it can be changed into a prime (34171542443) 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 7 ways as a sum of consecutive naturals, for example, 61020332 + ... + 61020891.

It is an arithmetic number, because the mean of its divisors is an integer number (2745927540).

Almost surely, 234171542440 is an apocalyptic number.

It is an amenable number.

34171542440 is an abundant number, since it is smaller than the sum of its proper divisors (53698138840).

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

34171542440 is a wasteful number, since it uses less digits than its factorization.

34171542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122041241 (or 122041237 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 34171542440 in words is "thirty-four billion, one hundred seventy-one million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 122041223 244082446 488164892 610206115 854288561 976329784 1220412230 1708577122 2440824460 3417154244 4271442805 4881648920 6834308488 8542885610 17085771220 34171542440