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134005414933 = 13292903122443
BaseRepresentation
bin111110011001101011…
…0000101110000010101
3110210220001211101222001
41330303112011300111
54143420341234213
6141321121035301
712452531142625
oct1746326056025
9423801741861
10134005414933
1151916621705
1221b7a185b31
13c837970b40
1466b342c885
1537448081dd
hex1f33585c15

134005414933 has 16 divisors (see below), whose sum is σ = 149342497920. Its totient is φ = 119389765824.

The previous prime is 134005414813. The next prime is 134005415003. The reversal of 134005414933 is 339414500431.

It is a cyclic number.

It is not a de Polignac number, because 134005414933 - 29 = 134005414421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134005414892 and 134005414901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134005414733) 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 15 ways as a sum of consecutive naturals, for example, 1033210 + ... + 1155652.

It is an arithmetic number, because the mean of its divisors is an integer number (9333906120).

Almost surely, 2134005414933 is an apocalyptic number.

134005414933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

134005414933 is a deficient number, since it is larger than the sum of its proper divisors (15337082987).

134005414933 is a wasteful number, since it uses less digits than its factorization.

134005414933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125388.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 134005414933 in words is "one hundred thirty-four billion, five million, four hundred fourteen thousand, nine hundred thirty-three".

Divisors: 1 13 29 377 2903 37739 84187 122443 1094431 1591759 3550847 46161011 355452029 4620876377 10308108841 134005414933