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43034544144 = 2432298851001
BaseRepresentation
bin101000000101000011…
…110000100000010000
311010002011002100111100
4220011003300200100
51201113320403034
631434135344400
73052302406164
oct500503604020
9133064070440
1043034544144
1117283972a69
128410222100
13409a970207
142123606ca4
1511bd101099
hexa050f0810

43034544144 has 30 divisors (see below), whose sum is σ = 120436953806. Its totient is φ = 14344848000.

The previous prime is 43034544109. The next prime is 43034544169. The reversal of 43034544144 is 44144543034.

43034544144 is a `hidden beast` number, since 43 + 0 + 34 + 544 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37099382544 + 5935161600 = 192612^2 + 77040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43034544099 and 43034544108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149425357 + ... + 149425644.

Almost surely, 243034544144 is an apocalyptic number.

It is an amenable number.

43034544144 is an abundant number, since it is smaller than the sum of its proper divisors (77402409662).

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

43034544144 is a wasteful number, since it uses less digits than its factorization.

43034544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298851015 (or 298851006 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 43034544144 in words is "forty-three billion, thirty-four million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 298851001 597702002 896553003 1195404004 1793106006 2390808008 2689659009 3586212012 4781616016 5379318018 7172424024 10758636036 14344848048 21517272072 43034544144