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13434140401 = 1117417192437
BaseRepresentation
bin11001000001011110…
…01011011011110001
31021200020201001010121
430200233023123301
5210003114443101
610101020130241
7653624211043
oct144057133361
937606631117
1013434140401
115774249580
12272b096981
131361307a06
14916299a93
1553960b0a1
hex320bcb6f1

13434140401 has 32 divisors (see below), whose sum is σ = 15924625920. Its totient is φ = 11193907200.

The previous prime is 13434140387. The next prime is 13434140413. The reversal of 13434140401 is 10404143431.

It is a cyclic number.

It is not a de Polignac number, because 13434140401 - 29 = 13434139889 is a prime.

It is a super-2 number, since 2×134341404012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13434140491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5511355 + ... + 5513791.

It is an arithmetic number, because the mean of its divisors is an integer number (497644560).

Almost surely, 213434140401 is an apocalyptic number.

13434140401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13434140401 is a deficient number, since it is larger than the sum of its proper divisors (2490485519).

13434140401 is a wasteful number, since it uses less digits than its factorization.

13434140401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13434140401 its reverse (10404143431), we get a palindrome (23838283832).

The spelling of 13434140401 in words is "thirteen billion, four hundred thirty-four million, one hundred forty thousand, four hundred one".

Divisors: 1 11 17 41 187 451 697 719 2437 7667 7909 12223 26807 29479 41429 99917 134453 324269 455719 501143 1099087 1698589 1752203 5512573 18684479 19274233 29787451 71840323 327661961 790243553 1221285491 13434140401