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3140113014 = 233192792039
BaseRepresentation
bin1011101100101010…
…0101001001110110
322002211200021021000
42323022211021312
522412332104024
61235331304130
7140546343303
oct27312451166
98084607230
103140113014
11137156a425
1273774b046
133b073114c
1421b07a0aa
15135a1dcc9
hexbb2a5276

3140113014 has 96 divisors (see below), whose sum is σ = 7461504000. Its totient is φ = 978582384.

The previous prime is 3140113013. The next prime is 3140113051. The reversal of 3140113014 is 4103110413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539007 + ... + 1541045.

It is an arithmetic number, because the mean of its divisors is an integer number (77724000).

Almost surely, 23140113014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140113014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730752000).

3140113014 is an abundant number, since it is smaller than the sum of its proper divisors (4321390986).

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

3140113014 is a wasteful number, since it uses less digits than its factorization.

3140113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3140113014 is about 56036.7113060715. The cubic root of 3140113014 is about 1464.3619183828.

Adding to 3140113014 its reverse (4103110413), we get a palindrome (7243223427).

The spelling of 3140113014 in words is "three billion, one hundred forty million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 361 474 513 711 722 1026 1083 1422 1501 2039 2133 2166 3002 3249 4078 4266 4503 6117 6498 9006 9747 12234 13509 18351 19494 27018 28519 36702 38741 40527 55053 57038 77482 81054 85557 110106 116223 161081 171114 232446 256671 322162 348669 483243 513342 697338 736079 770013 966486 1046007 1449729 1472158 1540026 2092014 2208237 2899458 3060539 4349187 4416474 6121078 6624711 8698374 9181617 13249422 18363234 19874133 27544851 39748266 55089702 58150241 82634553 116300482 165269106 174450723 348901446 523352169 1046704338 1570056507 3140113014