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144161346912 = 253112919324391
BaseRepresentation
bin1000011001000010101…
…1111001010101100000
3111210002212000012112220
42012100223321111200
54330220301100122
6150120553551040
713262311142022
oct2062053712540
9453085005486
10144161346912
115615835a720
1223b33415480
1310795a5624b
146d98182012
153b3b21825c
hex2190af9560

144161346912 has 192 divisors, whose sum is σ = 429291394560. Its totient is φ = 41958604800.

The previous prime is 144161346911. The next prime is 144161346919. The reversal of 144161346912 is 219643161441.

144161346912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144161346911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5898237 + ... + 5922627.

It is an arithmetic number, because the mean of its divisors is an integer number (2235892680).

Almost surely, 2144161346912 is an apocalyptic number.

144161346912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144161346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214645697280).

144161346912 is an abundant number, since it is smaller than the sum of its proper divisors (285130047648).

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

144161346912 is a wasteful number, since it uses less digits than its factorization.

144161346912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24637 (or 24629 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 144161346912 in words is "one hundred forty-four billion, one hundred sixty-one million, three hundred forty-six thousand, nine hundred twelve".