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141116076499104 = 253276113916350647
BaseRepresentation
bin100000000101100000100101…
…100111001010000010100000
3200111122120021000002002011200
4200011200211213022002200
5121444021211040432404
61220043455223441200
741503204633016310
oct4005404547120240
9614576230062150
10141116076499104
1140a66aa0327a33
12139b12a85b6200
13609825c077925
1426bc0a995b440
15114ab46544839
hex8058259ca0a0

141116076499104 has 576 divisors, whose sum is σ = 472388985169920. Its totient is φ = 39130282690560.

The previous prime is 141116076499051. The next prime is 141116076499141. The reversal of 141116076499104 is 401994670611141.

141116076499104 is a `hidden beast` number, since 1 + 4 + 1 + 11 + 60 + 76 + 499 + 10 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2786241909 + ... + 2786292555.

It is an arithmetic number, because the mean of its divisors is an integer number (820119765920).

Almost surely, 2141116076499104 is an apocalyptic number.

141116076499104 is a gapful number since it is divisible by the number (14) 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 141116076499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236194492584960).

141116076499104 is an abundant number, since it is smaller than the sum of its proper divisors (331272908670816).

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

141116076499104 is a wasteful number, since it uses less digits than its factorization.

141116076499104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51033 (or 51022 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 141116076499104 in words is "one hundred forty-one trillion, one hundred sixteen billion, seventy-six million, four hundred ninety-nine thousand, one hundred four".