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13413314412 = 2232537030039
BaseRepresentation
bin11000111110111111…
…01110111101101100
31021121210111222020200
430133133232331230
5204432302030122
610054553513500
7653252201631
oct143737567554
937553458220
1013413314412
115763514713
122724112890
131359bc5644
149135d8188
155378955ac
hex31f7eef6c

13413314412 has 36 divisors (see below), whose sum is σ = 34545616560. Its totient is φ = 4386743712.

The previous prime is 13413314399. The next prime is 13413314417. The reversal of 13413314412 is 21441331431.

13413314412 is a `hidden beast` number, since 1 + 341 + 3 + 314 + 4 + 1 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (13413314417) 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, 3513112 + ... + 3516927.

It is an arithmetic number, because the mean of its divisors is an integer number (959600460).

Almost surely, 213413314412 is an apocalyptic number.

13413314412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13413314412 is an abundant number, since it is smaller than the sum of its proper divisors (21132302148).

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

13413314412 is a wasteful number, since it uses less digits than its factorization.

13413314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7030102 (or 7030097 counting only the distinct ones).

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

Adding to 13413314412 its reverse (21441331431), we get a palindrome (34854645843).

The spelling of 13413314412 in words is "thirteen billion, four hundred thirteen million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 7030039 14060078 21090117 28120156 42180234 63270351 84360468 126540702 253081404 372592067 745184134 1117776201 1490368268 2235552402 3353328603 4471104804 6706657206 13413314412