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135523232401104 = 24324572059373213
BaseRepresentation
bin11110110100000111110110…
…001000000100011011010000
3122202211220011002012101101200
4132310013312020010123100
5120230403034443313404
61200122302524431200
740355142015406152
oct3664076610043320
9582756132171350
10135523232401104
113a200097674a79
12132493883a8500
135a80a2aa46502
142567506470ad2
1510a040c317839
hex7b41f62046d0

135523232401104 has 60 divisors (see below), whose sum is σ = 380106751600836. Its totient is φ = 45075560864256.

The previous prime is 135523232401033. The next prime is 135523232401121. The reversal of 135523232401104 is 401104232325531.

135523232401104 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 3 + 232 + 401 + 10 + 4 = 666.

135523232401104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55988584432704 + 79534647968400 = 7482552^2 + 8918220^2 .

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 11 ways as a sum of consecutive naturals, for example, 1029620799 + ... + 1029752414.

Almost surely, 2135523232401104 is an apocalyptic number.

It is an amenable number.

135523232401104 is an abundant number, since it is smaller than the sum of its proper divisors (244583519199732).

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

135523232401104 is a wasteful number, since it uses less digits than its factorization.

135523232401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059373684 (or 2059373675 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 135523232401104 its reverse (401104232325531), we get a palindrome (536627464726635).

The spelling of 135523232401104 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, two hundred thirty-two million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 16452 21936 32904 65808 2059373213 4118746426 6178119639 8237492852 12356239278 16474985704 18534358917 24712478556 32949971408 37068717834 49424957112 74137435668 98849914224 148274871336 296549742672 941133558341 1882267116682 2823400675023 3764534233364 5646801350046 7529068466728 8470202025069 11293602700092 15058136933456 16940404050138 22587205400184 33880808100276 45174410800368 67761616200552 135523232401104