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16416323141 = 31899836053
BaseRepresentation
bin11110100100111110…
…10011011001000101
31120101002012121210012
433102133103121011
5232110034320031
611312550440005
71120545305261
oct172237233105
946332177705
1016416323141
116a6464a609
123221963005
1317180c149a
14b1a3850a1
15661330b2b
hex3d27d3645

16416323141 has 16 divisors (see below), whose sum is σ = 17156551680. Its totient is φ = 15689688960.

The previous prime is 16416323113. The next prime is 16416323197. The reversal of 16416323141 is 14132361461.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-16416323141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16416323098 and 16416323107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416323041) 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 15 ways as a sum of consecutive naturals, for example, 2709071 + ... + 2715123.

It is an arithmetic number, because the mean of its divisors is an integer number (1072284480).

Almost surely, 216416323141 is an apocalyptic number.

It is an amenable number.

16416323141 is a deficient number, since it is larger than the sum of its proper divisors (740228539).

16416323141 is an equidigital number, since it uses as much as digits as its factorization.

16416323141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156.

The product of its digits is 10368, while the sum is 32.

The spelling of 16416323141 in words is "sixteen billion, four hundred sixteen million, three hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 31 89 983 2759 6053 30473 87487 187643 538717 2712097 5950099 16700227 184453069 529558811 16416323141