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231443274240 = 29335192959103
BaseRepresentation
bin1101011110001100011…
…0000001101000000000
3211010101200100111221000
43113203012001220000
512242443434233430
6254153520332000
722502244241323
oct3274306015000
9733350314830
10231443274240
118a177770562
1238a31a74000
1318a957049a9
14b2b80a47ba
156048b3ee60
hex35e3181a00

231443274240 has 1280 divisors, whose sum is σ = 919226880000. Its totient is φ = 54958030848.

The previous prime is 231443274193. The next prime is 231443274241. The reversal of 231443274240 is 42472344132.

231443274240 is a `hidden beast` number, since 2 + 3 + 144 + 3 + 274 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 231443274195 and 231443274204.

It is not an unprimeable number, because it can be changed into a prime (231443274241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2247022029 + ... + 2247022131.

It is an arithmetic number, because the mean of its divisors is an integer number (718146000).

Almost surely, 2231443274240 is an apocalyptic number.

231443274240 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 231443274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440000).

231443274240 is an abundant number, since it is smaller than the sum of its proper divisors (687783605760).

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

231443274240 is a wasteful number, since it uses less digits than its factorization.

231443274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 231443274240 in words is "two hundred thirty-one billion, four hundred forty-three million, two hundred seventy-four thousand, two hundred forty".