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144399553920 = 2732528198893
BaseRepresentation
bin1000011001111011100…
…0100101010110000000
3111210201110020101010200
42012132320211112000
54331212241211140
6150200343325200
713301232646056
oct2063670452600
9453643211120
10144399553920
115626a869116
1223b9b150800
13108031c9c3b
146dbba6c1d6
153b520bd030
hex219ee25580

144399553920 has 192 divisors, whose sum is σ = 498862681200. Its totient is φ = 38488559616.

The previous prime is 144399553897. The next prime is 144399553973. The reversal of 144399553920 is 29355993441.

144399553920 is a `hidden beast` number, since 14 + 4 + 3 + 9 + 95 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16232994 + ... + 16241886.

Almost surely, 2144399553920 is an apocalyptic number.

144399553920 is a gapful number since it is divisible by the number (10) 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 144399553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249431340600).

144399553920 is an abundant number, since it is smaller than the sum of its proper divisors (354463127280).

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

144399553920 is a wasteful number, since it uses less digits than its factorization.

144399553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 144399553920 in words is "one hundred forty-four billion, three hundred ninety-nine million, five hundred fifty-three thousand, nine hundred twenty".