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13414134132 = 2232753230691
BaseRepresentation
bin11000111111000101…
…10111000101110100
31021121212001121200200
430133202313011310
5204433004243012
610055023240500
7653262154530
oct143742670564
937555047620
1013414134132
115763a24573
122724449130
13135a121799
1491376cbc0
155379a83dc
hex31f8b7174

13414134132 has 36 divisors (see below), whose sum is σ = 38751943776. Its totient is φ = 3832609680.

The previous prime is 13414134089. The next prime is 13414134137. The reversal of 13414134132 is 23143141431.

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

It is a super-2 number, since 2×134141341322 (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 junction number, because it is equal to n+sod(n) for n = 13414134096 and 13414134105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414134137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26615094 + ... + 26615597.

Almost surely, 213414134132 is an apocalyptic number.

13414134132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13414134132 is an abundant number, since it is smaller than the sum of its proper divisors (25337809644).

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

13414134132 is a wasteful number, since it uses less digits than its factorization.

13414134132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53230708 (or 53230703 counting only the distinct ones).

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

Adding to 13414134132 its reverse (23143141431), we get a palindrome (36557275563).

The spelling of 13414134132 in words is "thirteen billion, four hundred fourteen million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 53230691 106461382 159692073 212922764 319384146 372614837 479076219 638768292 745229674 958152438 1117844511 1490459348 1916304876 2235689022 3353533533 4471378044 6707067066 13414134132