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134061041088 = 26331341914243
BaseRepresentation
bin111110011011010101…
…0010010010111000000
3110211000221111111201000
41330312222102113000
54144024111303323
6141330425212000
712454105022202
oct1746652222700
9424027444630
10134061041088
1151944a65437
1221b94931000
13c846349020
1466ba98c772
153749644e43
hex1f36a925c0

134061041088 has 224 divisors, whose sum is σ = 425473977600. Its totient is φ = 41148214272.

The previous prime is 134061041077. The next prime is 134061041129. The reversal of 134061041088 is 880140160431.

It is a happy number.

134061041088 is a `hidden beast` number, since 1 + 34 + 0 + 610 + 4 + 1 + 0 + 8 + 8 = 666.

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

It is a congruent number.

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, 9405295 + ... + 9419537.

It is an arithmetic number, because the mean of its divisors is an integer number (1899437400).

Almost surely, 2134061041088 is an apocalyptic number.

134061041088 is a gapful number since it is divisible by the number (18) 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 134061041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212736988800).

134061041088 is an abundant number, since it is smaller than the sum of its proper divisors (291412936512).

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

134061041088 is a wasteful number, since it uses less digits than its factorization.

134061041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14696 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 134061041088 in words is "one hundred thirty-four billion, sixty-one million, forty-one thousand, eighty-eight".