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134119224960 = 27357211871201
BaseRepresentation
bin111110011101000100…
…0001111011010000000
3110211011222222112222020
41330322020033122000
54144134010144320
6141340304241440
712455412413400
oct1747210173200
9424158875866
10134119224960
1151974895886
1221bb0310280
13c85540b456
1466c45b6800
15374e7d9940
hex1f3a20f680

134119224960 has 384 divisors, whose sum is σ = 498135147840. Its totient is φ = 30604492800.

The previous prime is 134119224937. The next prime is 134119224979. The reversal of 134119224960 is 69422911431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111672360 + ... + 111673560.

Almost surely, 2134119224960 is an apocalyptic number.

134119224960 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 134119224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249067573920).

134119224960 is an abundant number, since it is smaller than the sum of its proper divisors (364015922880).

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

134119224960 is a wasteful number, since it uses less digits than its factorization.

134119224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 134119224960 in words is "one hundred thirty-four billion, one hundred nineteen million, two hundred twenty-four thousand, nine hundred sixty".