Search a number
-
+
34353111425004 = 2232954253095139
BaseRepresentation
bin1111100111110011101010…
…00000001101111111101100
311111122010101101211102111100
413303321311000031333230
514000320133011100004
6201021333532323100
710143634061111451
oct763716500157754
9144563341742440
1034353111425004
11aa450888a7699
123a29a43613490
13162263b601688
1486a9b148b828
153e890b03b739
hex1f3e7500dfec

34353111425004 has 18 divisors (see below), whose sum is σ = 86837031657740. Its totient is φ = 11451037141656.

The previous prime is 34353111424963. The next prime is 34353111425021. The reversal of 34353111425004 is 40052411135343.

34353111425004 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 3 + 1 + 1 + 142 + 500 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 954253095139 = 34353111425004 / (3 + 4 + 3 + 5 + 3 + 1 + 1 + 1 + 4 + 2 + 5 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 34353111425004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 477126547534 + ... + 477126547605.

Almost surely, 234353111425004 is an apocalyptic number.

It is an amenable number.

34353111425004 is an abundant number, since it is smaller than the sum of its proper divisors (52483920232736).

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

34353111425004 is a wasteful number, since it uses less digits than its factorization.

34353111425004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954253095149 (or 954253095144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34353111425004 in words is "thirty-four trillion, three hundred fifty-three billion, one hundred eleven million, four hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 954253095139 1908506190278 2862759285417 3817012380556 5725518570834 8588277856251 11451037141668 17176555712502 34353111425004