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231241424142132 = 22328972172729133
BaseRepresentation
bin110100100101000000010110…
…111100010111111100110100
31010022202110112102212101021100
4310211000112330113330310
5220302124414040022012
62135450502124250100
766464433026063535
oct6445002674277464
91108673472771240
10231241424142132
1167753a345275a8
1221b281790a0930
139c04c8511a721
144116204ca068c
151bb01c059d8dc
hexd25016f17f34

231241424142132 has 36 divisors (see below), whose sum is σ = 591094651607460. Its totient is φ = 76214401963392.

The previous prime is 231241424142121. The next prime is 231241424142203.

231241424142132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 4 + 1 + 424 + 14 + 213 + 2 = 666.

231241424142132 is nontrivially palindromic in base 10.

231241424142132 is digitally balanced in base 2, 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 163559441809296 + 67681982332836 = 12789036^2 + 8226906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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.

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, 36086361363 + ... + 36086367770.

It is an arithmetic number, because the mean of its divisors is an integer number (16419295877985).

Almost surely, 2231241424142132 is an apocalyptic number.

It is an amenable number.

231241424142132 is an abundant number, since it is smaller than the sum of its proper divisors (359853227465328).

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

231241424142132 is a wasteful number, since it uses less digits than its factorization.

231241424142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72172729232 (or 72172729227 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 231241424142132 in words is "two hundred thirty-one trillion, two hundred forty-one billion, four hundred twenty-four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 72172729133 144345458266 216518187399 288690916532 433036374798 649554562197 866072749596 1299109124394 2598218248788 6423372892837 12846745785674 19270118678511 25693491571348 38540237357022 57810356035533 77080474714044 115620712071066 231241424142132