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40131003142113 = 3131116192196047
BaseRepresentation
bin10010001111111101110100…
…01011111100111111100001
312021002111010121110011012220
421013332322023330333201
520230001243301021423
6221203532304141253
711311240445266452
oct1107767213747741
9167074117404186
1040131003142113
1111872510073774
1246017a7907829
1319514502396c0
149ca4cacad129
15498d75b829e3
hex247fba2fcfe1

40131003142113 has 16 divisors (see below), whose sum is σ = 57629168115456. Its totient is φ = 24693788960640.

The previous prime is 40131003142093. The next prime is 40131003142121. The reversal of 40131003142113 is 31124130013104.

It is a happy number.

It is not a de Polignac number, because 40131003142113 - 224 = 40130986364897 is a prime.

It is a super-2 number, since 2×401310031421132 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131003142613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45662745 + ... + 46533302.

It is an arithmetic number, because the mean of its divisors is an integer number (3601823007216).

Almost surely, 240131003142113 is an apocalyptic number.

It is an amenable number.

40131003142113 is a deficient number, since it is larger than the sum of its proper divisors (17498164973343).

40131003142113 is a wasteful number, since it uses less digits than its factorization.

40131003142113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92207224.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 40131003142113 its reverse (31124130013104), we get a palindrome (71255133155217).

The spelling of 40131003142113 in words is "forty trillion, one hundred thirty-one billion, three million, one hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 13 39 11161 33483 145093 435279 92196047 276588141 1198548611 3595645833 1029000080567 3087000241701 13377001047371 40131003142113