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40444242004431 = 331519920098603
BaseRepresentation
bin10010011001000101010001…
…01011011000100111001111
312022012102122202122001221000
421030202220223120213033
520300114301423120211
6222003454524111343
711343000006553266
oct1114425053304717
9168172582561830
1040444242004431
11119833412611a1
124652446995553
131974b4ca80045
149db7243975dd
154a20aa727656
hex24c8a8ad89cf

40444242004431 has 16 divisors (see below), whose sum is σ = 60314199512320. Its totient is φ = 26784266225400.

The previous prime is 40444242004423. The next prime is 40444242004433. The reversal of 40444242004431 is 13440024244404.

It is a happy number.

40444242004431 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 4 + 2 + 4 + 200 + 443 + 1 = 666.

It is not a de Polignac number, because 40444242004431 - 23 = 40444242004423 is a prime.

It is a super-2 number, since 2×404442420044312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444242004433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4960045225 + ... + 4960053378.

It is an arithmetic number, because the mean of its divisors is an integer number (3769637469520).

Almost surely, 240444242004431 is an apocalyptic number.

40444242004431 is a deficient number, since it is larger than the sum of its proper divisors (19869957507889).

40444242004431 is a wasteful number, since it uses less digits than its factorization.

40444242004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920098763 (or 9920098757 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40444242004431 its reverse (13440024244404), we get a palindrome (53884266248835).

The spelling of 40444242004431 in words is "forty trillion, four hundred forty-four billion, two hundred forty-two million, four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 151 453 1359 4077 9920098603 29760295809 89280887427 267842662281 1497934889053 4493804667159 13481414001477 40444242004431