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40225115844 = 2232334272
BaseRepresentation
bin100101011101100110…
…101000111011000100
310211211100122121101100
4211131212220323010
51124340112201334
630251255500100
72622546562134
oct453546507304
9124740577340
1040225115844
11160720359a1
127967387630
133a408c16c4
141d3844aac4
1510a6652c99
hex95d9a8ec4

40225115844 has 27 divisors (see below), whose sum is σ = 101683195887. Its totient is φ = 13407970824.

The previous prime is 40225115837. The next prime is 40225115881. The reversal of 40225115844 is 44851152204.

The square root of 40225115844 is 200562.

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

40225115844 is a `hidden beast` number, since 4 + 0 + 22 + 51 + 1 + 584 + 4 = 666.

40225115844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40225115799 and 40225115808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1186659 + ... + 1220085.

Almost surely, 240225115844 is an apocalyptic number.

40225115844 is the 200562-nd square number.

It is an amenable number.

40225115844 is an abundant number, since it is smaller than the sum of its proper divisors (61458080043).

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

40225115844 is an frugal number, since it uses more digits than its factorization.

40225115844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66864 (or 33432 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 40225115844 by its sum of digits (36), we get a square (1448104170384 = 12033722).

40225115844 divided by its sum of digits (36) gives a square (1117364329 = 334272).

The spelling of 40225115844 in words is "forty billion, two hundred twenty-five million, one hundred fifteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 33427 66854 100281 133708 200562 300843 401124 601686 1203372 1117364329 2234728658 3352092987 4469457316 6704185974 10056278961 13408371948 20112557922 40225115844