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119314944 = 29357137
BaseRepresentation
bin1110001110010…
…01101000000000
322022111211100000
413013021220000
5221021034234
615501200000
72646105660
oct707115000
9268454300
10119314944
11613940a1
1233b60000
131b947178
1411bbc1a0
15a71c899
hex71c9a00

119314944 has 240 divisors, whose sum is σ = 411098688. Its totient is φ = 33841152.

The previous prime is 119314919. The next prime is 119314967. The reversal of 119314944 is 449413911.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 119314899 and 119314908.

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, 870844 + ... + 870980.

Almost surely, 2119314944 is an apocalyptic number.

119314944 is a gapful number since it is divisible by the number (14) 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 119314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205549344).

119314944 is an abundant number, since it is smaller than the sum of its proper divisors (291783744).

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

119314944 is an frugal number, since it uses more digits than its factorization.

119314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 119314944 is about 10923.1380106634. The cubic root of 119314944 is about 492.3020156397.

The spelling of 119314944 in words is "one hundred nineteen million, three hundred fourteen thousand, nine hundred forty-four".