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231628494240 = 2538511131543
BaseRepresentation
bin1101011110111000100…
…0100101010110100000
3211010212120212200000000
43113232020211112200
512243333343303430
6254224134300000
722506653500323
oct3275610452640
9733776780000
10231628494240
118a262279040
1238a83ab7600
1318ac4bb5820
14b2d491a7ba
15605a029e60
hex35ee2255a0

231628494240 has 864 divisors, whose sum is σ = 964911782016. Its totient is φ = 51799357440.

The previous prime is 231628494217. The next prime is 231628494247. The reversal of 231628494240 is 42494826132.

231628494240 is a `hidden beast` number, since 2 + 316 + 2 + 8 + 4 + 94 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (231628494247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150114909 + ... + 150116451.

It is an arithmetic number, because the mean of its divisors is an integer number (1116796044).

Almost surely, 2231628494240 is an apocalyptic number.

231628494240 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 231628494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482455891008).

231628494240 is an abundant number, since it is smaller than the sum of its proper divisors (733283287776).

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

231628494240 is a wasteful number, since it uses less digits than its factorization.

231628494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 231628494240 in words is "two hundred thirty-one billion, six hundred twenty-eight million, four hundred ninety-four thousand, two hundred forty".