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144463364441 = 11101130030031
BaseRepresentation
bin1000011010001010110…
…0000000000101011001
3111210212220022021201022
42012202230000011121
54331330110130231
6150210543132225
713302636223424
oct2064254000531
9453786267638
10144463364441
11562a2891990
1223bb85a4075
13108134ac446
146dc631c9bb
153b579c4c7b
hex21a2b00159

144463364441 has 8 divisors (see below), whose sum is σ = 159156759168. Its totient is φ = 130030030000.

The previous prime is 144463364401. The next prime is 144463364443.

It is a happy number.

144463364441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144463364441 - 210 = 144463363417 is a prime.

It is a super-2 number, since 2×1444633644412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144463364392 and 144463364401.

It is not an unprimeable number, because it can be changed into a prime (144463364443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65013905 + ... + 65016126.

It is an arithmetic number, because the mean of its divisors is an integer number (19894594896).

Almost surely, 2144463364441 is an apocalyptic number.

144463364441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144463364441 is a deficient number, since it is larger than the sum of its proper divisors (14693394727).

144463364441 is a wasteful number, since it uses less digits than its factorization.

144463364441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130030143.

The product of its digits is 1327104, while the sum is 44.

The spelling of 144463364441 in words is "one hundred forty-four billion, four hundred sixty-three million, three hundred sixty-four thousand, four hundred forty-one".

Divisors: 1 11 101 1111 130030031 1430330341 13133033131 144463364441