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231042754080 = 25345172936161
BaseRepresentation
bin1101011100101100111…
…0001010011000100000
3211002100202200222120000
43113023032022120200
512241133421112310
6254050052020000
722456312002135
oct3271316123040
9732322628500
10231042754080
1189a9167a866
123893b901600
1318a30740708
14b27ac0658c
1560238c74c0
hex35cb38a620

231042754080 has 480 divisors, whose sum is σ = 893147880240. Its totient is φ = 55986094080.

The previous prime is 231042754039. The next prime is 231042754133. The reversal of 231042754080 is 80457240132.

It is a happy number.

231042754080 is a `hidden beast` number, since 2 + 3 + 10 + 4 + 27 + 540 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 170532657936 + 60510096144 = 412956^2 + 245988^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 6371200 + ... + 6407360.

Almost surely, 2231042754080 is an apocalyptic number.

231042754080 is a gapful number since it is divisible by the number (20) 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 231042754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446573940120).

231042754080 is an abundant number, since it is smaller than the sum of its proper divisors (662105126160).

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

231042754080 is a wasteful number, since it uses less digits than its factorization.

231042754080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36234 (or 36217 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 231042754080 in words is "two hundred thirty-one billion, forty-two million, seven hundred fifty-four thousand, eighty".