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412230000040 = 23523219481569
BaseRepresentation
bin1011111111110101101…
…00101001110110101000
31110102001000110202002021
411333322310221312220
523223221340000130
6513213103314224
741532305120545
oct5777264516650
91412030422067
10412230000040
1114990a0a7451
1267a86bab974
132cb47332161
1415d48571bcc
15aaca44c37a
hex5ffad29da8

412230000040 has 48 divisors (see below), whose sum is σ = 969597738900. Its totient is φ = 157722774528.

The previous prime is 412230000031. The next prime is 412230000043. The reversal of 412230000040 is 40000032214.

It can be written as a sum of positive squares in 2 ways, for example, as 401046091524 + 11183908516 = 633282^2 + 105754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412229999969 and 412230000023.

It is not an unprimeable number, because it can be changed into a prime (412230000043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9719625 + ... + 9761944.

Almost surely, 2412230000040 is an apocalyptic number.

412230000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412230000040 is an abundant number, since it is smaller than the sum of its proper divisors (557367738860).

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

412230000040 is a wasteful number, since it uses less digits than its factorization.

412230000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19481626 (or 19481599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 412230000040 its reverse (40000032214), we get a palindrome (452230032254).

The spelling of 412230000040 in words is "four hundred twelve billion, two hundred thirty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 19481569 38963138 77926276 97407845 155852552 194815690 389631380 448076087 779262760 896152174 1792304348 2240380435 3584608696 4480760870 8961521740 10305750001 17923043480 20611500002 41223000004 51528750005 82446000008 103057500010 206115000020 412230000040