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144339672204 = 22327213291271709
BaseRepresentation
bin1000011001101101010…
…0001001110010001100
3111210120021120001212100
42012123110021302030
54331101424002304
6150150404035100
713266604653600
oct2063324116214
9453507501770
10144339672204
1156239a890a2
1223b83092a90
13107c3991a80
146db3b21500
153b4bbe0439
hex219b509c8c

144339672204 has 432 divisors, whose sum is σ = 476838835200. Its totient is φ = 36444183552.

The previous prime is 144339672181. The next prime is 144339672227. The reversal of 144339672204 is 402276933441.

144339672204 is a `hidden beast` number, since 1 + 4 + 433 + 9 + 6 + 7 + 2 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (144339672181) and next prime (144339672227).

It is a self number, because there is not a number n which added to its sum of digits gives 144339672204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84457702 + ... + 84459410.

It is an arithmetic number, because the mean of its divisors is an integer number (1103793600).

Almost surely, 2144339672204 is an apocalyptic number.

144339672204 is a gapful number since it is divisible by the number (14) 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 144339672204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238419417600).

144339672204 is an abundant number, since it is smaller than the sum of its proper divisors (332499162996).

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

144339672204 is a wasteful number, since it uses less digits than its factorization.

144339672204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 144339672204 in words is "one hundred forty-four billion, three hundred thirty-nine million, six hundred seventy-two thousand, two hundred four".