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13344131412 = 22323111957107
BaseRepresentation
bin11000110110101111…
…10100100101010100
31021102222100010000100
430123113310211110
5204312044201122
610044043014100
7651452150133
oct143327644524
937388303010
1013344131412
115728461487
122704b0a330
131348781961
1490834991a
1553177baac
hex31b5f4954

13344131412 has 36 divisors (see below), whose sum is σ = 34819098496. Its totient is φ = 4304558160.

The previous prime is 13344131393. The next prime is 13344131441. The reversal of 13344131412 is 21413144331.

13344131412 is a `hidden beast` number, since 1 + 3 + 344 + 1 + 314 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133441314122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5977438 + ... + 5979669.

Almost surely, 213344131412 is an apocalyptic number.

13344131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13344131412 is an abundant number, since it is smaller than the sum of its proper divisors (21474967084).

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

13344131412 is a wasteful number, since it uses less digits than its factorization.

13344131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957148 (or 11957143 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13344131412 its reverse (21413144331), we get a palindrome (34757275743).

The spelling of 13344131412 in words is "thirteen billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 11957107 23914214 35871321 47828428 71742642 107613963 143485284 215227926 370670317 430455852 741340634 1112010951 1482681268 2224021902 3336032853 4448043804 6672065706 13344131412