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231631685040 = 243573117924847
BaseRepresentation
bin1101011110111001010…
…0110000010110110000
3211010212210212202221210
43113232110300112300
512243340202410130
6254224330520120
722510022560050
oct3275624602660
9733783782853
10231631685040
118a264058368
1238a84b96040
1318ac5761c82
14b2d510b560
15605a45a5b0
hex35ee5305b0

231631685040 has 320 divisors, whose sum is σ = 851876904960. Its totient is φ = 50948213760.

The previous prime is 231631684951. The next prime is 231631685101. The reversal of 231631685040 is 40586136132.

231631685040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231631685040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9309897 + ... + 9334743.

It is an arithmetic number, because the mean of its divisors is an integer number (2662115328).

Almost surely, 2231631685040 is an apocalyptic number.

231631685040 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 231631685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425938452480).

231631685040 is an abundant number, since it is smaller than the sum of its proper divisors (620245219920).

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

231631685040 is a wasteful number, since it uses less digits than its factorization.

231631685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25080 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 231631685040 in words is "two hundred thirty-one billion, six hundred thirty-one million, six hundred eighty-five thousand, forty".