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34144313186016 = 25321121039512689
BaseRepresentation
bin1111100001101110101111…
…01010001001011011100000
311110220011102220002220001200
413300313113222021123200
513433410023133423031
6200341403025401200
710122562624264065
oct760672752113340
9143804386086050
1034144313186016
11a974581720300
1239b5491499200
131608a44584c37
14860844ab4c6c
153e328a4918e6
hex1f0dd7a896e0

34144313186016 has 216 divisors, whose sum is σ = 107763633497520. Its totient is φ = 10246306498560.

The previous prime is 34144313185987. The next prime is 34144313186051. The reversal of 34144313186016 is 61068131344143.

34144313186016 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 4 + 3 + 1 + 31 + 8 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1167001 + ... + 8345688.

Almost surely, 234144313186016 is an apocalyptic number.

34144313186016 is a gapful number since it is divisible by the number (36) 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 34144313186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53881816748760).

34144313186016 is an abundant number, since it is smaller than the sum of its proper divisors (73619320311504).

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

34144313186016 is a wasteful number, since it uses less digits than its factorization.

34144313186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512830 (or 9512808 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34144313186016 in words is "thirty-four trillion, one hundred forty-four billion, three hundred thirteen million, one hundred eighty-six thousand, sixteen".