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4140031005 = 3251119143789
BaseRepresentation
bin1111011011000011…
…1101110000011101
3101200112012100212200
43312300331300131
531434321443010
61522451122113
7204410453145
oct36660756035
911615170780
104140031005
111834a37630
129765a3339
1350c93cbb6
142b3ba5925
151936d5cc0
hexf6c3dc1d

4140031005 has 48 divisors (see below), whose sum is σ = 7869588480. Its totient is φ = 1996732800.

The previous prime is 4140030989. The next prime is 4140031033. The reversal of 4140031005 is 5001300414.

It is a happy number.

It is not a de Polignac number, because 4140031005 - 24 = 4140030989 is a prime.

It is a super-2 number, since 2×41400310052 = 34279713444722620050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72651 + ... + 116439.

It is an arithmetic number, because the mean of its divisors is an integer number (163949760).

Almost surely, 24140031005 is an apocalyptic number.

4140031005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4140031005 is a deficient number, since it is larger than the sum of its proper divisors (3729557475).

4140031005 is a wasteful number, since it uses less digits than its factorization.

4140031005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44002 (or 43999 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4140031005 is about 64343.0727040604. The cubic root of 4140031005 is about 1605.7127820754.

Adding to 4140031005 its reverse (5001300414), we get a palindrome (9141331419).

The spelling of 4140031005 in words is "four billion, one hundred forty million, thirty-one thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 191 495 573 955 1719 2101 2865 6303 8595 10505 18909 31515 43789 94545 131367 218945 394101 481679 656835 1445037 1970505 2408395 4335111 7225185 8363699 21675555 25091097 41818495 75273291 92000689 125455485 276002067 376366455 460003445 828006201 1380010335 4140031005