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142390003716 = 223261210312
BaseRepresentation
bin1000010010011100011…
…0110000100000000100
3111121112101220122111100
42010213012300200010
54313103320104331
6145225115540100
713200362030112
oct2044706604004
9447471818440
10142390003716
1155429499324
122371a15a630
1310572a8a98c
146c6ac08ab2
153a85970ae6
hex21271b0804

142390003716 has 81 divisors (see below), whose sum is σ = 366282782229. Its totient is φ = 46639965600.

The previous prime is 142390003711. The next prime is 142390003727. The reversal of 142390003716 is 617300093241.

The square root of 142390003716 is 377346.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4630258116 + 137759745600 = 68046^2 + 371160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142390003711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138108121 + ... + 138109151.

Almost surely, 2142390003716 is an apocalyptic number.

142390003716 is the 377346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142390003716

142390003716 is an abundant number, since it is smaller than the sum of its proper divisors (223892778513).

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

142390003716 is an equidigital number, since it uses as much as digits as its factorization.

142390003716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 142390003716 by its sum of digits (36), we get a square (5126040133776 = 22640762).

142390003716 divided by its sum of digits (36) gives a square (3955277881 = 628912).

Adding to 142390003716 its reverse (617300093241), we get a palindrome (759690096957).

The spelling of 142390003716 in words is "one hundred forty-two billion, three hundred ninety million, three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1031 1098 2062 2196 3093 3721 4124 6186 7442 9279 11163 12372 14884 18558 22326 33489 37116 44652 62891 66978 125782 133956 188673 251564 377346 566019 754692 1062961 1132038 2125922 2264076 3188883 3836351 4251844 6377766 7672702 9566649 11509053 12755532 15345404 19133298 23018106 34527159 38266596 46036212 64840621 69054318 129681242 138108636 194521863 259362484 389043726 583565589 778087452 1167131178 2334262356 3955277881 7910555762 11865833643 15821111524 23731667286 35597500929 47463334572 71195001858 142390003716