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5434014104345 = 510141201261169
BaseRepresentation
bin100111100010011010001…
…1110101111101100011001
3201020111010210020000202102
41033010310132233230121
51203012330102314340
615320203541013145
71100410635531131
oct117046436575431
921214123200672
105434014104345
11180560932a9a2
127391943b41b5
1330556b5b6b68
1414b017139ac1
1596540353215
hex4f1347afb19

5434014104345 has 16 divisors (see below), whose sum is σ = 6585564520080. Its totient is φ = 4304048640000.

The previous prime is 5434014104317. The next prime is 5434014104359.

5434014104345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 752710672921 + 4681303431424 = 867589^2 + 2163632^2 .

It is a de Polignac number, because none of the positive numbers 2k-5434014104345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5434014104299 and 5434014104308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20675921 + ... + 20937089.

It is an arithmetic number, because the mean of its divisors is an integer number (411597782505).

Almost surely, 25434014104345 is an apocalyptic number.

It is an amenable number.

5434014104345 is a deficient number, since it is larger than the sum of its proper divisors (1151550415735).

5434014104345 is a wasteful number, since it uses less digits than its factorization.

5434014104345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302476.

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 5434014104345 in words is "five trillion, four hundred thirty-four billion, fourteen million, one hundred four thousand, three hundred forty-five".

Divisors: 1 5 101 505 41201 206005 261169 1305845 4161301 20806505 26378069 131890345 10760423969 53802119845 1086802820869 5434014104345