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34001044144 = 247329110483
BaseRepresentation
bin11111101010100111…
…101100001010110000
310020202120222000010021
4133222213230022300
51024113231403034
623341520213224
72312402051404
oct375247541260
9106676860107
1034001044144
1113468780791
12670aa6a214
13328b290b42
141907991104
15d400086b4
hex7ea9ec2b0

34001044144 has 20 divisors (see below), whose sum is σ = 66779450296. Its totient is φ = 16767637632.

The previous prime is 34001044127. The next prime is 34001044153. The reversal of 34001044144 is 44144010043.

It is a happy number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14554074 + ... + 14556409.

Almost surely, 234001044144 is an apocalyptic number.

It is an amenable number.

34001044144 is a deficient number, since it is larger than the sum of its proper divisors (32778406152).

34001044144 is a wasteful number, since it uses less digits than its factorization.

34001044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29110564 (or 29110558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34001044144 its reverse (44144010043), we get a palindrome (78145054187).

The spelling of 34001044144 in words is "thirty-four billion, one million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 73 146 292 584 1168 29110483 58220966 116441932 232883864 465767728 2125065259 4250130518 8500261036 17000522072 34001044144