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13243144024 = 23111723337993
BaseRepresentation
bin11000101010101101…
…00101011101011000
31021011221022102100201
430111112211131120
5204110221102044
610030034311544
7646114603225
oct142526453530
937157272321
1013243144024
115686456130
1226971285b4
1313308838c6
148d8b7c94c
1552797e7d4
hex3155a5758

13243144024 has 64 divisors (see below), whose sum is σ = 28805531040. Its totient is φ = 5641052160.

The previous prime is 13243144009. The next prime is 13243144037. The reversal of 13243144024 is 42044134231.

13243144024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13243143983 and 13243144001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329572 + ... + 367564.

Almost surely, 213243144024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402765520).

13243144024 is an abundant number, since it is smaller than the sum of its proper divisors (15562387016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13243144024 is a wasteful number, since it uses less digits than its factorization.

13243144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38260 (or 38256 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13243144024 its reverse (42044134231), we get a palindrome (55287278255).

The spelling of 13243144024 in words is "thirteen billion, two hundred forty-three million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 233 374 466 748 932 1496 1864 2563 3961 5126 7922 10252 15844 20504 31688 37993 43571 75986 87142 151972 174284 303944 348568 417923 645881 835846 1291762 1671692 2583524 3343384 5167048 7104691 8852369 14209382 17704738 28418764 35409476 56837528 70818952 97376059 150490273 194752118 300980546 389504236 601961092 779008472 1203922184 1655393003 3310786006 6621572012 13243144024