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14213467917 = 32112471372027
BaseRepresentation
bin11010011110011000…
…00100111100001101
31100200120010222111200
431033030010330031
5213102121433132
610310215540113
71012136324655
oct151714047415
940616128450
1014213467917
11603414a900
12290808a639
13145690035c
1498b9a3365
15582c4cd7c
hex34f304f0d

14213467917 has 72 divisors (see below), whose sum is σ = 23226473088. Its totient is φ = 8365272960.

The previous prime is 14213467901. The next prime is 14213467927. The reversal of 14213467917 is 71976431241.

It is a happy number.

14213467917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14213467917 - 24 = 14213467901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213467927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7011058 + ... + 7013084.

It is an arithmetic number, because the mean of its divisors is an integer number (322589904).

Almost surely, 214213467917 is an apocalyptic number.

It is an amenable number.

14213467917 is a deficient number, since it is larger than the sum of its proper divisors (9013005171).

14213467917 is a wasteful number, since it uses less digits than its factorization.

14213467917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2225 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 14213467917 in words is "fourteen billion, two hundred thirteen million, four hundred sixty-seven thousand, nine hundred seventeen".

Divisors: 1 3 9 11 33 47 99 121 137 141 363 411 423 517 1089 1233 1507 1551 2027 4521 4653 5687 6081 6439 13563 16577 17061 18243 19317 22297 49731 51183 57951 66891 70829 95269 149193 200673 212487 245267 277699 285807 637461 735801 779119 833097 857421 1047959 2207403 2337357 2499291 3054689 3143877 7012071 9164067 9431631 11527549 13051853 27492201 33601579 34582647 39155559 100804737 103747941 117466677 143570383 302414211 430711149 1292133447 1579274213 4737822639 14213467917