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40464046404 = 22321124001289
BaseRepresentation
bin100101101011110110…
…000101100101000100
310212110000020112111100
4211223312011211010
51130332243441104
630331112540100
72631510501525
oct455366054504
9125400215440
1040464046404
1116184998a71
127a133b1630
133a7b259832
141d5c08484c
1510bc5ec139
hex96bd85944

40464046404 has 18 divisors (see below), whose sum is σ = 102284117390. Its totient is φ = 13488015456.

The previous prime is 40464046361. The next prime is 40464046409.

40464046404 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 4 + 0 + 4 + 640 + 4 = 666.

40464046404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 40360006404 + 104040000 = 200898^2 + 10200^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1124001289 = 40464046404 / (4 + 0 + 4 + 6 + 4 + 0 + 4 + 6 + 4 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (40464046409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562000609 + ... + 562000680.

Almost surely, 240464046404 is an apocalyptic number.

It is an amenable number.

40464046404 is an abundant number, since it is smaller than the sum of its proper divisors (61820070986).

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

40464046404 is a wasteful number, since it uses less digits than its factorization.

40464046404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124001299 (or 1124001294 counting only the distinct ones).

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

The spelling of 40464046404 in words is "forty billion, four hundred sixty-four million, forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1124001289 2248002578 3372003867 4496005156 6744007734 10116011601 13488015468 20232023202 40464046404