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113949342000 = 2434531361887
BaseRepresentation
bin110101000011111101…
…0001111100100110000
3101220010022210100010000
41222013322033210300
53331332012421000
6124203025510000
711142525266034
oct1520772174460
9356108710100
10113949342000
114436448421a
121a1014a2300
13a98c792870
14572d90c1c4
152e6dbb3000
hex1a87e8f930

113949342000 has 800 divisors, whose sum is σ = 451028882304. Its totient is φ = 27558144000.

The previous prime is 113949341999. The next prime is 113949342047. The reversal of 113949342000 is 243949311.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 128465557 + ... + 128466443.

Almost surely, 2113949342000 is an apocalyptic number.

113949342000 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 113949342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225514441152).

113949342000 is an abundant number, since it is smaller than the sum of its proper divisors (337079540304).

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

113949342000 is a wasteful number, since it uses less digits than its factorization.

113949342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 113949342000 in words is "one hundred thirteen billion, nine hundred forty-nine million, three hundred forty-two thousand".