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231141034156032 = 2133572111373227
BaseRepresentation
bin110100100011100010110111…
…001110111110000000000000
31010022101212102002101200200000
4310203202313032332000000
5220244003314220443112
62135332420350400000
766454250205221400
oct6443426716760000
91108355362350600
10231141034156032
11677153a8a46140
1221b10820800000
139bc86768946a0
144111400124800
151bac796ecc7dc
hexd238b73be000

231141034156032 has 4032 divisors, whose sum is σ = 963486245240064. Its totient is φ = 54418483445760.

The previous prime is 231141034156013. The next prime is 231141034156033. The reversal of 231141034156032 is 230651430141132.

231141034156032 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 4 + 1 + 0 + 3 + 41 + 5 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231141034156033) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1018242441103 + ... + 1018242441329.

It is an arithmetic number, because the mean of its divisors is an integer number (238959882252).

Almost surely, 2231141034156032 is an apocalyptic number.

231141034156032 is a gapful number since it is divisible by the number (22) 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 231141034156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481743122620032).

231141034156032 is an abundant number, since it is smaller than the sum of its proper divisors (732345211084032).

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

231141034156032 is a wasteful number, since it uses less digits than its factorization.

231141034156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 231141034156032 its reverse (230651430141132), we get a palindrome (461792464297164).

The spelling of 231141034156032 in words is "two hundred thirty-one trillion, one hundred forty-one billion, thirty-four million, one hundred fifty-six thousand, thirty-two".