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104343112440 = 233357192937677
BaseRepresentation
bin110000100101101010…
…1011000101011111000
3100222022211222022111000
41201023111120223320
53202143314044230
6115533511005000
710352501551620
oct1411325305370
9328284868430
10104343112440
1140284a6a826
1218280369760
139abb545368
14509bbab880
152aaa687b60
hex184b558af8

104343112440 has 1024 divisors, whose sum is σ = 445201920000. Its totient is φ = 21194514432.

The previous prime is 104343112417. The next prime is 104343112453. The reversal of 104343112440 is 44211343401.

104343112440 is a `hidden beast` number, since 104 + 3 + 4 + 3 + 112 + 440 = 666.

It is a super-2 number, since 2×1043431124402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 154125382 + ... + 154126058.

It is an arithmetic number, because the mean of its divisors is an integer number (434767500).

Almost surely, 2104343112440 is an apocalyptic number.

104343112440 is a gapful number since it is divisible by the number (10) 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 104343112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222600960000).

104343112440 is an abundant number, since it is smaller than the sum of its proper divisors (340858807560).

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

104343112440 is a wasteful number, since it uses less digits than its factorization.

104343112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104343112440 its reverse (44211343401), we get a palindrome (148554455841).

The spelling of 104343112440 in words is "one hundred four billion, three hundred forty-three million, one hundred twelve thousand, four hundred forty".