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144044304323004 = 22326596071670221
BaseRepresentation
bin100000110000000111101101…
…100101110101000110111100
3200220000111112020100001011100
4200300013231211311012330
5122340010213401314004
61230205012340253100
742224600066602521
oct4060075545650674
9626014466301140
10144044304323004
1141995934621498
12141a49020a1190
13624b420262777
14277dad2729148
15119bdc9cb8739
hex8301ed9751bc

144044304323004 has 36 divisors (see below), whose sum is σ = 364664513533320. Its totient is φ = 47941908057120.

The previous prime is 144044304322979. The next prime is 144044304323039. The reversal of 144044304323004 is 400323403440441.

144044304323004 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 44 + 304 + 3 + 2 + 300 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144044304323004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3035811387 + ... + 3035858834.

It is an arithmetic number, because the mean of its divisors is an integer number (10129569820370).

Almost surely, 2144044304323004 is an apocalyptic number.

It is an amenable number.

144044304323004 is an abundant number, since it is smaller than the sum of its proper divisors (220620209210316).

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

144044304323004 is a wasteful number, since it uses less digits than its factorization.

144044304323004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071670890 (or 6071670885 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 144044304323004 its reverse (400323403440441), we get a palindrome (544367707763445).

The spelling of 144044304323004 in words is "one hundred forty-four trillion, forty-four billion, three hundred four million, three hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 659 1318 1977 2636 3954 5931 7908 11862 23724 6071670221 12143340442 18215010663 24286680884 36430021326 54645031989 72860042652 109290063978 218580127956 4001230675639 8002461351278 12003692026917 16004922702556 24007384053834 36011076080751 48014768107668 72022152161502 144044304323004