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149311307376 = 2432711101133327
BaseRepresentation
bin1000101100001110100…
…1011011111001110000
3112021101202120022012100
42023003221123321300
54421242143314001
6152332003300400
713534034113020
oct2130351337160
9467352508170
10149311307376
11583603821a0
1224b3007a700
131110699ba2a
14732611ba80
153d3d3e2586
hex22c3a5be70

149311307376 has 240 divisors, whose sum is σ = 526135753728. Its totient is φ = 38397888000.

The previous prime is 149311307363. The next prime is 149311307389. The reversal of 149311307376 is 673703113941.

149311307376 is a `hidden beast` number, since 149 + 3 + 1 + 130 + 7 + 376 = 666.

149311307376 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149311307363) and next prime (149311307389).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053225 + ... + 1186551.

Almost surely, 2149311307376 is an apocalyptic number.

149311307376 is a gapful number since it is divisible by the number (16) 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 149311307376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263067876864).

149311307376 is an abundant number, since it is smaller than the sum of its proper divisors (376824446352).

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

149311307376 is a wasteful number, since it uses less digits than its factorization.

149311307376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133460 (or 133451 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 149311307376 in words is "one hundred forty-nine billion, three hundred eleven million, three hundred seven thousand, three hundred seventy-six".