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144712375808 = 29721121319193
BaseRepresentation
bin1000011011000110000…
…1111001111000000000
3111211112020212101002112
42012301201321320000
54332332332011213
6150251400234452
713312051620200
oct2066141717000
9454466771075
10144712375808
11564103aa900
1224067a6ba28
1310852c66b50
14700b41c400
153b6e7b0ea8
hex21b1879e00

144712375808 has 720 divisors, whose sum is σ = 421271318160. Its totient is φ = 49049763840.

The previous prime is 144712375799. The next prime is 144712375813. The reversal of 144712375808 is 808573217441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 749804960 + ... + 749805152.

It is an arithmetic number, because the mean of its divisors is an integer number (585099053).

Almost surely, 2144712375808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144712375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210635659080).

144712375808 is an abundant number, since it is smaller than the sum of its proper divisors (276558942352).

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

144712375808 is a wasteful number, since it uses less digits than its factorization.

144712375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 144712375808 in words is "one hundred forty-four billion, seven hundred twelve million, three hundred seventy-five thousand, eight hundred eight".