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231300200340440 = 235711219421907941
BaseRepresentation
bin110100100101110111000110…
…010001110001101111011000
31010022222002020122122121200222
4310211313012101301233120
5220304110302241343230
62135533502314215212
766501613405401350
oct6445670621615730
91108862218577628
10231300200340440
1167776956121300
1221b37641124508
139c0a69116b7aa
144118dbcdc9b60
151bb19b06636e5
hexd25dc6471bd8

231300200340440 has 768 divisors, whose sum is σ = 691294872038400. Its totient is φ = 67989487104000.

The previous prime is 231300200340431. The next prime is 231300200340463. The reversal of 231300200340440 is 44043002003132.

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, 245802550370 + ... + 245802551310.

It is an arithmetic number, because the mean of its divisors is an integer number (900123531300).

Almost surely, 2231300200340440 is an apocalyptic number.

231300200340440 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 231300200340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345647436019200).

231300200340440 is an abundant number, since it is smaller than the sum of its proper divisors (459994671697960).

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

231300200340440 is a wasteful number, since it uses less digits than its factorization.

231300200340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 231300200340440 its reverse (44043002003132), we get a palindrome (275343202343572).

The spelling of 231300200340440 in words is "two hundred thirty-one trillion, three hundred billion, two hundred million, three hundred forty thousand, four hundred forty".