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34014333141 = 3279457104683
BaseRepresentation
bin11111101011011010…
…011000100011010101
310020210111222011012100
4133223122120203111
51024130132130031
623343113112313
72312623030005
oct375332304325
9106714864170
1034014333141
1113475227a28
1267133b8699
133290c64759
141909650005
15d41280de6
hex7eb6988d5

34014333141 has 24 divisors (see below), whose sum is σ = 49863082880. Its totient is φ = 22339976256.

The previous prime is 34014332993. The next prime is 34014333149. The reversal of 34014333141 is 14133341043.

34014333141 is a `hidden beast` number, since 340 + 1 + 4 + 3 + 3 + 314 + 1 = 666.

It is not a de Polignac number, because 34014333141 - 215 = 34014300373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014333149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272586 + ... + 377268.

Almost surely, 234014333141 is an apocalyptic number.

It is an amenable number.

34014333141 is a deficient number, since it is larger than the sum of its proper divisors (15848749739).

34014333141 is a wasteful number, since it uses less digits than its factorization.

34014333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105225 (or 105222 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34014333141 its reverse (14133341043), we get a palindrome (48147674184).

The spelling of 34014333141 in words is "thirty-four billion, fourteen million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 79 237 457 711 1371 4113 36103 104683 108309 314049 324927 942147 8269957 24809871 47840131 74429613 143520393 430561179 3779370349 11338111047 34014333141