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134027425440 = 25335291069823
BaseRepresentation
bin111110011010010101…
…0000011011010100000
3110210221121020122201000
41330310222003122200
54143442010103230
6141323224512000
712453216214326
oct1746452033240
9423847218630
10134027425440
1151927a95507
1221b8561b600
13c83c3a93cc
1466b631bd16
153746704b60
hex1f34a836a0

134027425440 has 192 divisors, whose sum is σ = 485272166400. Its totient is φ = 34508178432.

The previous prime is 134027425421. The next prime is 134027425457. The reversal of 134027425440 is 44524720431.

134027425440 is a `hidden beast` number, since 1 + 3 + 40 + 2 + 74 + 2 + 544 + 0 = 666.

134027425440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 134027425395 and 134027425404.

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 31 ways as a sum of consecutive naturals, for example, 409632 + ... + 660191.

It is an arithmetic number, because the mean of its divisors is an integer number (2527459200).

Almost surely, 2134027425440 is an apocalyptic number.

134027425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134027425440 is an abundant number, since it is smaller than the sum of its proper divisors (351244740960).

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

134027425440 is a wasteful number, since it uses less digits than its factorization.

134027425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069876 (or 1069862 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 134027425440 in words is "one hundred thirty-four billion, twenty-seven million, four hundred twenty-five thousand, four hundred forty".