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13345305144 = 2332933756897
BaseRepresentation
bin11000110110111000…
…10011001000111000
31021110001112202001220
430123130103020320
5204312344231034
610044124112040
7651465136113
oct143334231070
937401482056
1013345305144
115729093306
122705395620
131348aa2c82
1490857357a
1553190e749
hex31b713238

13345305144 has 64 divisors (see below), whose sum is σ = 34616743200. Its totient is φ = 4282220544.

The previous prime is 13345305143. The next prime is 13345305163. The reversal of 13345305144 is 44150354331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345305143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206104 + ... + 263000.

Almost surely, 213345305144 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 13345305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308371600).

13345305144 is an abundant number, since it is smaller than the sum of its proper divisors (21271438056).

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

13345305144 is a wasteful number, since it uses less digits than its factorization.

13345305144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57272 (or 57268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 13345305144 its reverse (44150354331), we get a palindrome (57495659475).

The spelling of 13345305144 in words is "thirteen billion, three hundred forty-five million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 337 348 674 696 1011 1348 2022 2696 4044 8088 9773 19546 29319 39092 56897 58638 78184 113794 117276 170691 227588 234552 341382 455176 682764 1365528 1650013 3300026 4950039 6600052 9900078 13200104 19174289 19800156 38348578 39600312 57522867 76697156 115045734 153394312 230091468 460182936 556054381 1112108762 1668163143 2224217524 3336326286 4448435048 6672652572 13345305144