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13442779249 = 232714
BaseRepresentation
bin11001000010100000…
…01000100001110001
31021200211221221101221
430201100020201301
5210012322413444
610101525225041
7654060511144
oct144120104161
937624857357
1013442779249
11577910a019
122731b62181
131363040b63
149174a805b
1553a265a84
hex321408871

13442779249 has 15 divisors (see below), whose sum is σ = 14253411865. Its totient is φ = 12677207620.

The previous prime is 13442779237. The next prime is 13442779309. The reversal of 13442779249 is 94297724431.

It is a happy number.

The square root of 13442779249 is 115943.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13442779249 - 219 = 13442254961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13442779196 and 13442779205.

It is not an unprimeable number, because it can be changed into a prime (13442779549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 189334884 + ... + 189334954.

Almost surely, 213442779249 is an apocalyptic number.

13442779249 is the 115943-rd square number.

13442779249 is the 57972-nd centered octagonal number.

It is an amenable number.

13442779249 is a deficient number, since it is larger than the sum of its proper divisors (810632616).

13442779249 is an frugal number, since it uses more digits than its factorization.

13442779249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 94 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The spelling of 13442779249 in words is "thirteen billion, four hundred forty-two million, seven hundred seventy-nine thousand, two hundred forty-nine".

Divisors: 1 23 71 529 1633 5041 37559 115943 357911 2666689 8231953 25411681 189334919 584468663 13442779249