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3434313222431 = 713457188943717
BaseRepresentation
bin110001111110011101000…
…001010000100100011111
3110011022120012012221122222
4301332131001100210133
5422231433141104211
611145411323055555
7503056324510340
oct61763501204437
913138505187588
103434313222431
111104536310a43
124757146715bb
131bbb15002050
14bc3162b00c7
155e50375d1db
hex31f9d05091f

3434313222431 has 32 divisors (see below), whose sum is σ = 4238435617920. Its totient is φ = 2709815648256.

The previous prime is 3434313222427. The next prime is 3434313222451. The reversal of 3434313222431 is 1342223134343.

3434313222431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3434313222431 - 22 = 3434313222427 is a prime.

It is a super-2 number, since 2×34343132224312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3434313222391 and 3434313222400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434313222451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78535985 + ... + 78579701.

It is an arithmetic number, because the mean of its divisors is an integer number (132451113060).

Almost surely, 23434313222431 is an apocalyptic number.

3434313222431 is a deficient number, since it is larger than the sum of its proper divisors (804122395489).

3434313222431 is a wasteful number, since it uses less digits than its factorization.

3434313222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46083.

The product of its digits is 124416, while the sum is 35.

Adding to 3434313222431 its reverse (1342223134343), we get a palindrome (4776536356774).

The spelling of 3434313222431 in words is "three trillion, four hundred thirty-four billion, three hundred thirteen million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 13 91 457 1889 3199 5941 13223 24557 41587 43717 171899 306019 568321 863273 3978247 6042911 11222549 19978669 78557843 82581413 139850683 259722697 578069891 1073558369 1818058879 7514908583 37739705741 264177940187 490616174633 3434313222431