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13432440312 = 2332238111377
BaseRepresentation
bin11001000001010001…
…01100010111111000
31021200010111200001100
430200220230113320
5210002201042222
610100515451400
7653603600364
oct144050542770
937603450040
1013432440312
115773298245
12272a5b6b60
131360b60c45
14915d762a4
155393c24ac
hex320a2c5f8

13432440312 has 48 divisors (see below), whose sum is σ = 37961249040. Its totient is φ = 4282806528.

The previous prime is 13432440293. The next prime is 13432440323. The reversal of 13432440312 is 21304423431.

13432440312 is a `hidden beast` number, since 1 + 343 + 2 + 4 + 4 + 0 + 312 = 666.

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, 4054033 + ... + 4057344.

It is an arithmetic number, because the mean of its divisors is an integer number (790859355).

Almost surely, 213432440312 is an apocalyptic number.

13432440312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13432440312 is an abundant number, since it is smaller than the sum of its proper divisors (24528808728).

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

13432440312 is a wasteful number, since it uses less digits than its factorization.

13432440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111412 (or 8111405 counting only the distinct ones).

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

Adding to 13432440312 its reverse (21304423431), we get a palindrome (34736863743).

The spelling of 13432440312 in words is "thirteen billion, four hundred thirty-two million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 8111377 16222754 24334131 32445508 48668262 64891016 73002393 97336524 146004786 186561671 194673048 292009572 373123342 559685013 584019144 746246684 1119370026 1492493368 1679055039 2238740052 3358110078 4477480104 6716220156 13432440312