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32123442144 = 253334619189
BaseRepresentation
bin11101111010101101…
…001101001111100000
310001220201220221101110
4131322231031033200
51011242100122034
622431324503320
72215022516163
oct357255151740
9101821827343
1032123442144
11126949335a2
1262860aab40
13304c2a0041
1417aa477ada
15c80271de9
hex77ab4d3e0

32123442144 has 24 divisors (see below), whose sum is σ = 84324035880. Its totient is φ = 10707814016.

The previous prime is 32123442121. The next prime is 32123442193. The reversal of 32123442144 is 44124432123.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167309499 + ... + 167309690.

It is an arithmetic number, because the mean of its divisors is an integer number (3513501495).

Almost surely, 232123442144 is an apocalyptic number.

It is an amenable number.

32123442144 is an abundant number, since it is smaller than the sum of its proper divisors (52200593736).

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

32123442144 is a wasteful number, since it uses less digits than its factorization.

32123442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334619202 (or 334619194 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 32123442144 its reverse (44124432123), we get a palindrome (76247874267).

It can be divided in two parts, 321234 and 42144, that added together give a triangular number (363378 = T852).

The spelling of 32123442144 in words is "thirty-two billion, one hundred twenty-three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 334619189 669238378 1003857567 1338476756 2007715134 2676953512 4015430268 5353907024 8030860536 10707814048 16061721072 32123442144