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144414442197 = 32124912847117
BaseRepresentation
bin1000011001111111000…
…1011000001011010101
3111210202111020210000100
42012133301120023111
54331230044122242
6150202034404313
713301503335114
oct2063761301325
9453674223010
10144414442197
1156278207983
1223ba4130699
131080631077c
146dbda25c7b
153b5355e54c
hex219fc582d5

144414442197 has 12 divisors (see below), whose sum is σ = 208765667500. Its totient is φ = 96199204608.

The previous prime is 144414442181. The next prime is 144414442217. The reversal of 144414442197 is 791244414441.

144414442197 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 14 + 442 + 197 = 666.

144414442197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34237581156 + 110176861041 = 185034^2 + 331929^2 .

It is not a de Polignac number, because 144414442197 - 24 = 144414442181 is a prime.

It is a super-2 number, since 2×1444144421972 (a number of 23 digits) contains 22 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 (144414442177) 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 11 ways as a sum of consecutive naturals, for example, 6412318 + ... + 6434799.

Almost surely, 2144414442197 is an apocalyptic number.

It is an amenable number.

144414442197 is a deficient number, since it is larger than the sum of its proper divisors (64351225303).

144414442197 is a wasteful number, since it uses less digits than its factorization.

144414442197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848372 (or 12848369 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 144414442197 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred forty-two thousand, one hundred ninety-seven".

Divisors: 1 3 9 1249 3747 11241 12847117 38541351 115624053 16046049133 48138147399 144414442197