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40920030369 = 32674292
BaseRepresentation
bin100110000111000001…
…100001110010100001
310220121210020220220100
4212013001201302201
51132301011432434
630444242133013
72646015343041
oct460701416241
9126553226810
1040920030369
1116399321519
127b20051169
133b2187012a
141da285d721
1510e766d699
hex987061ca1

40920030369 has 9 divisors (see below), whose sum is σ = 59107587123. Its totient is φ = 27279615672.

The previous prime is 40920030367. The next prime is 40920030449. The reversal of 40920030369 is 96303002904.

It is a happy number.

The square root of 40920030369 is 202287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 204861969 + 40715168400 = 14313^2 + 201780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 40920030369 - 21 = 40920030367 is a prime.

It is a super-2 number, since 2×409200303692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40920030367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 573147 + ... + 640575.

Almost surely, 240920030369 is an apocalyptic number.

40920030369 is the 202287-th square number.

40920030369 is the 101144-th centered octagonal number.

It is an amenable number.

40920030369 is a deficient number, since it is larger than the sum of its proper divisors (18187556754).

40920030369 is an frugal number, since it uses more digits than its factorization.

40920030369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134864 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 40920030369 by its sum of digits (36), we get a square (1473121093284 = 12137222).

It can be divided in two parts, 409200 and 30369, that added together give a square (439569 = 6632).

The spelling of 40920030369 in words is "forty billion, nine hundred twenty million, thirty thousand, three hundred sixty-nine".

Divisors: 1 3 9 67429 202287 606861 4546670041 13640010123 40920030369