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13330224144 = 2432175445353
BaseRepresentation
bin11000110101000101…
…10001010000010000
31021102000011112211100
430122202301100100
5204300014133034
610042424544400
7651223015146
oct143242612020
937360145740
1013330224144
115720622776
122700322100
1313459227c3
14906569596
15530431099
hex31a8b1410

13330224144 has 60 divisors (see below), whose sum is σ = 39500597916. Its totient is φ = 4182030336.

The previous prime is 13330224143. The next prime is 13330224157. The reversal of 13330224144 is 44142203331.

It can be written as a sum of positive squares in 2 ways, for example, as 4433961744 + 8896262400 = 66588^2 + 94320^2 .

It is not an unprimeable number, because it can be changed into a prime (13330224143) 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, 2720229 + ... + 2725124.

Almost surely, 213330224144 is an apocalyptic number.

It is an amenable number.

13330224144 is an abundant number, since it is smaller than the sum of its proper divisors (26170373772).

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

13330224144 is a wasteful number, since it uses less digits than its factorization.

13330224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445384 (or 5445375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13330224144 its reverse (44142203331), we get a palindrome (57472427475).

The spelling of 13330224144 in words is "thirteen billion, three hundred thirty million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5445353 10890706 16336059 21781412 32672118 43562824 49008177 65344236 87125648 92571001 98016354 130688472 185142002 196032708 261376944 277713003 370284004 392065416 555426006 740568008 784130832 833139009 1110852012 1481136016 1666278018 2221704024 3332556036 4443408048 6665112072 13330224144