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40040444031 = 3723743171203
BaseRepresentation
bin100101010010100110…
…001011000001111111
310211100111011022021120
4211102212023001333
51124000323202111
630221101402023
72615145105300
oct452246130177
9124314138246
1040040444031
1115a87872265
127915569313
133a11573243
141d1bad87a7
151095325406
hex95298b07f

40040444031 has 48 divisors (see below), whose sum is σ = 65265704064. Its totient is φ = 21744023616.

The previous prime is 40040444023. The next prime is 40040444039. The reversal of 40040444031 is 13044404004.

40040444031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40040444023) and next prime (40040444039).

It is not a de Polignac number, because 40040444031 - 23 = 40040444023 is a prime.

It is a super-2 number, since 2×400404440312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40040443992 and 40040444010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040444039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148276 + ... + 319478.

It is an arithmetic number, because the mean of its divisors is an integer number (1359702168).

Almost surely, 240040444031 is an apocalyptic number.

40040444031 is a deficient number, since it is larger than the sum of its proper divisors (25225260033).

40040444031 is a wasteful number, since it uses less digits than its factorization.

40040444031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171300 (or 171293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40040444031 its reverse (13044404004), we get a palindrome (53084848035).

The spelling of 40040444031 in words is "forty billion, forty million, four hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 21 37 43 49 111 129 147 259 301 777 903 1591 1813 2107 4773 5439 6321 11137 33411 77959 171203 233877 513609 1198421 3595263 6334511 7361729 8388947 19003533 22085187 25166841 44341577 51532103 133024731 154596309 272383973 310391039 360724721 817151919 931173117 1082174163 1906687811 5720063433 13346814677 40040444031