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231788831040 = 263351317196389
BaseRepresentation
bin1101011111011110110…
…0001110000101000000
3211011021202120121202000
43113313230032011000
512244200420043130
6254252103024000
722513641361464
oct3276754160500
9734252517660
10231788831040
118a334830498
1238b0973b000
1318b1c193680
14b30bd364a4
15606914c260
hex35f7b0e140

231788831040 has 896 divisors, whose sum is σ = 981626688000. Its totient is φ = 50865242112.

The previous prime is 231788831039. The next prime is 231788831041. The reversal of 231788831040 is 40138887132.

231788831040 is digitally balanced in base 2 and base 3, 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 (231788831039) and next prime (231788831041).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231788831041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 36276166 + ... + 36282554.

It is an arithmetic number, because the mean of its divisors is an integer number (1095565500).

Almost surely, 2231788831040 is an apocalyptic number.

231788831040 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 231788831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490813344000).

231788831040 is an abundant number, since it is smaller than the sum of its proper divisors (749837856960).

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

231788831040 is a wasteful number, since it uses less digits than its factorization.

231788831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 231788831040 in words is "two hundred thirty-one billion, seven hundred eighty-eight million, eight hundred thirty-one thousand, forty".