Search a number
-
+
40244442022242 = 23213731628406653
BaseRepresentation
bin10010010011010001000111…
…01010111100000101100010
312021111022221100201100021200
421021220203222330011202
520233331104124202432
6221332012541102030
711322364534666503
oct1111504352740542
9167438840640250
1040244442022242
1111906632395377
12461b786257916
13195c05b023303
149d1bacaa0baa
1549bcb4b12a7c
hex249a23abc162

40244442022242 has 24 divisors (see below), whose sum is σ = 87259798961244. Its totient is φ = 13405043559264.

The previous prime is 40244442022237. The next prime is 40244442022261. The reversal of 40244442022242 is 24222024444204.

40244442022242 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 4 + 420 + 2 + 224 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39916858644441 + 327583377801 = 6317979^2 + 572349^2 .

It is a super-2 number, since 2×402444420222422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40244442022197 and 40244442022206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814178613 + ... + 814228040.

Almost surely, 240244442022242 is an apocalyptic number.

40244442022242 is an abundant number, since it is smaller than the sum of its proper divisors (47015356939002).

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

40244442022242 is a wasteful number, since it uses less digits than its factorization.

40244442022242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628408034 (or 1628408031 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 40244442022242 its reverse (24222024444204), we get a palindrome (64466466466446).

The spelling of 40244442022242 in words is "forty trillion, two hundred forty-four billion, four hundred forty-two million, twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 1373 2746 4119 8238 12357 24714 1628406653 3256813306 4885219959 9770439918 14655659877 29311319754 2235802334569 4471604669138 6707407003707 13414814007414 20122221011121 40244442022242