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104346376011240 = 2335111489271119583
BaseRepresentation
bin10111101110011100001000…
…101011001111110111101000
3111200110102020100120201120220
4113232130020223033313220
5102134102334224324430
61005532021404450040
730656530320520626
oct2756341053176750
9450412210521526
10104346376011240
113028005aa54760
12b85303a249920
13462ba89a8103c
141baa56a58c516
15c0e44e57e110
hex5ee708acfde8

104346376011240 has 256 divisors, whose sum is σ = 341870085734400. Its totient is φ = 25268487475200.

The previous prime is 104346376011239. The next prime is 104346376011323. The reversal of 104346376011240 is 42110673643401.

It is a junction number, because it is equal to n+sod(n) for n = 104346376011192 and 104346376011201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5328406489 + ... + 5328426071.

It is an arithmetic number, because the mean of its divisors is an integer number (1335430022400).

Almost surely, 2104346376011240 is an apocalyptic number.

104346376011240 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 104346376011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170935042867200).

104346376011240 is an abundant number, since it is smaller than the sum of its proper divisors (237523709723160).

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

104346376011240 is a wasteful number, since it uses less digits than its factorization.

104346376011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 104346376011240 in words is "one hundred four trillion, three hundred forty-six billion, three hundred seventy-six million, eleven thousand, two hundred forty".