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231453191286240 = 253571112721572473
BaseRepresentation
bin110100101000000101100101…
…001111111010110111100000
31010100111201010212002220212220
4310220011211033322313200
5220314112113432124430
62140132043405151040
766515640563105250
oct6450054517726740
91110451125086786
10231453191286240
1167825824566290
1221b6121955b480
139c1bc33282261
144122573aa7960
151bb5966ae9110
hexd281653fade0

231453191286240 has 1152 divisors, whose sum is σ = 922401949529088. Its totient is φ = 47392383467520.

The previous prime is 231453191286227. The next prime is 231453191286253. The reversal of 231453191286240 is 42682191354132.

231453191286240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231453191286227) and next prime (231453191286253).

It is a super-2 number, since 2×2314531912862402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93592069644 + ... + 93592072116.

It is an arithmetic number, because the mean of its divisors is an integer number (800696136744).

Almost surely, 2231453191286240 is an apocalyptic number.

231453191286240 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 231453191286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461200974764544).

231453191286240 is an abundant number, since it is smaller than the sum of its proper divisors (690948758242848).

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

231453191286240 is a wasteful number, since it uses less digits than its factorization.

231453191286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 231453191286240 in words is "two hundred thirty-one trillion, four hundred fifty-three billion, one hundred ninety-one million, two hundred eighty-six thousand, two hundred forty".