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144089860608 = 29343679467
BaseRepresentation
bin1000011000110001101…
…1001100101000000000
3111202220212111022210000
42012030123030220000
54330044001014413
6150105521440000
713260452415111
oct2061433145000
9452825438700
10144089860608
1156120a73a31
1223b134a0000
1310783cb7065
146d8c894208
153b34ce7073
hex218c6cca00

144089860608 has 200 divisors, whose sum is σ = 431287699392. Its totient is φ = 47894022144.

The previous prime is 144089860591. The next prime is 144089860667. The reversal of 144089860608 is 806068980441.

144089860608 is a `hidden beast` number, since 1 + 440 + 89 + 8 + 60 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15215491 + ... + 15224957.

Almost surely, 2144089860608 is an apocalyptic number.

144089860608 is a gapful number since it is divisible by the number (18) 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 144089860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215643849696).

144089860608 is an abundant number, since it is smaller than the sum of its proper divisors (287197838784).

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

144089860608 is an frugal number, since it uses more digits than its factorization.

144089860608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 144089860608 in words is "one hundred forty-four billion, eighty-nine million, eight hundred sixty thousand, six hundred eight".