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16441214461 = 72990133889
BaseRepresentation
bin11110100111111100…
…10000010111111101
31120102211001020020221
433103332100113331
5232132422330321
611315240141341
71121300005600
oct172376202775
946384036227
1016441214461
116a77700851
12322a167851
1317202c8089
14b1d7c4337
156635eae41
hex3d3f905fd

16441214461 has 12 divisors (see below), whose sum is σ = 19127990460. Its totient is φ = 14090630400.

The previous prime is 16441214417. The next prime is 16441214509.

16441214461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 15729925561 + 711288900 = 125419^2 + 26670^2 .

It is not a de Polignac number, because 16441214461 - 211 = 16441212413 is a prime.

It is a super-3 number, since 3×164412144613 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16441214861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468205 + ... + 502093.

It is an arithmetic number, because the mean of its divisors is an integer number (1593999205).

Almost surely, 216441214461 is an apocalyptic number.

It is an amenable number.

16441214461 is a deficient number, since it is larger than the sum of its proper divisors (2686775999).

16441214461 is an equidigital number, since it uses as much as digits as its factorization.

16441214461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43804 (or 43797 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 16441214461 in words is "sixteen billion, four hundred forty-one million, two hundred fourteen thousand, four hundred sixty-one".

Divisors: 1 7 49 9901 33889 69307 237223 485149 1660561 335534989 2348744923 16441214461