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12034104040 = 235726139849
BaseRepresentation
bin10110011010100100…
…11101101011101000
31011001200021211022001
423031102131223220
5144121212312130
65310044340344
7604134124300
oct131522355350
934050254261
1012034104040
115115a35532
1223ba2446b4
13119a24582a
14822378600
154a675a6ca
hex2cd49dae8

12034104040 has 48 divisors (see below), whose sum is σ = 31497430500. Its totient is φ = 4125977856.

The previous prime is 12034104037. The next prime is 12034104067. The reversal of 12034104040 is 4040143021.

It can be written as a sum of positive squares in 2 ways, for example, as 11228793156 + 805310884 = 105966^2 + 28378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12034103999 and 12034104017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3067965 + ... + 3071884.

Almost surely, 212034104040 is an apocalyptic number.

12034104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034104040 is an abundant number, since it is smaller than the sum of its proper divisors (19463326460).

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

12034104040 is a wasteful number, since it uses less digits than its factorization.

12034104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139874 (or 6139863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12034104040 its reverse (4040143021), we get a palindrome (16074247061).

The spelling of 12034104040 in words is "twelve billion, thirty-four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6139849 12279698 24559396 30699245 42978943 49118792 61398490 85957886 122796980 171915772 214894715 245593960 300852601 343831544 429789430 601705202 859578860 1203410404 1504263005 1719157720 2406820808 3008526010 6017052020 12034104040