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12134434004 = 2271145786209
BaseRepresentation
bin10110100110100010…
…01100010011010100
31011022200002010010122
423103101030103110
5144322403342004
65324031011112
7606462662420
oct132321142324
934280063118
1012134434004
115167631960
122427969a98
1311b4c73584
14831813b80
154b0477cbe
hex2d344c4d4

12134434004 has 48 divisors (see below), whose sum is σ = 26533368960. Its totient is φ = 4717301760.

The previous prime is 12134433931. The next prime is 12134434019. The reversal of 12134434004 is 40043443121.

It is a congruent number.

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, 97652 + ... + 183860.

It is an arithmetic number, because the mean of its divisors is an integer number (552778520).

Almost surely, 212134434004 is an apocalyptic number.

12134434004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266684480).

12134434004 is an abundant number, since it is smaller than the sum of its proper divisors (14398934956).

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

12134434004 is a wasteful number, since it uses less digits than its factorization.

12134434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86688 (or 86686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12134434004 its reverse (40043443121), we get a palindrome (52177877125).

The spelling of 12134434004 in words is "twelve billion, one hundred thirty-four million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 457 914 1828 3199 5027 6398 10054 12796 20108 35189 70378 86209 140756 172418 344836 603463 948299 1206926 1896598 2413852 3793196 6638093 13276186 26552372 39397513 78795026 157590052 275782591 433372643 551565182 866745286 1103130364 1733490572 3033608501 6067217002 12134434004