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40422466404 = 22323730347197
BaseRepresentation
bin100101101001010111…
…011110001101100100
310212100010000001110100
4211221113132031210
51130241122411104
630323025424100
72630464203165
oct455127361544
9125303001410
1040422466404
1116163479331
127a0149b030
133a7275ba98
141d5673d76c
1510b8b37139
hex9695de364

40422466404 has 36 divisors (see below), whose sum is σ = 104940610684. Its totient is φ = 13109988672.

The previous prime is 40422466373. The next prime is 40422466457. The reversal of 40422466404 is 40466422404.

40422466404 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 2 + 4 + 6 + 640 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37826360100 + 2596106304 = 194490^2 + 50952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15172267 + ... + 15174930.

Almost surely, 240422466404 is an apocalyptic number.

It is an amenable number.

40422466404 is an abundant number, since it is smaller than the sum of its proper divisors (64518144280).

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

40422466404 is a wasteful number, since it uses less digits than its factorization.

40422466404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30347244 (or 30347239 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40422466404 its reverse (40466422404), we get a palindrome (80888888808).

The spelling of 40422466404 in words is "forty billion, four hundred twenty-two million, four hundred sixty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 30347197 60694394 91041591 121388788 182083182 273124773 364166364 546249546 1092499092 1122846289 2245692578 3368538867 4491385156 6737077734 10105616601 13474155468 20211233202 40422466404