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149114042880 = 2935111992899
BaseRepresentation
bin1000101011011111100…
…0111011101000000000
3112020220000101020011220
42022313320323220000
54420341143333010
6152300235235040
713526120310615
oct2126770735000
9466800336156
10149114042880
1158269a98490
1224a95ba8a80
13110a4b6188a
147307c4c50c
153d2ae28970
hex22b7e3ba00

149114042880 has 320 divisors, whose sum is σ = 547411392000. Its totient is φ = 34245918720.

The previous prime is 149114042867. The next prime is 149114042897. The reversal of 149114042880 is 88240411941.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558671 + ... + 1651569.

It is an arithmetic number, because the mean of its divisors is an integer number (1710660600).

Almost surely, 2149114042880 is an apocalyptic number.

149114042880 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 149114042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273705696000).

149114042880 is an abundant number, since it is smaller than the sum of its proper divisors (398297349120).

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

149114042880 is a wasteful number, since it uses less digits than its factorization.

149114042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92955 (or 92939 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 149114042880 in words is "one hundred forty-nine billion, one hundred fourteen million, forty-two thousand, eight hundred eighty".