Search a number
-
+
142536512031 = 329313710211399
BaseRepresentation
bin1000010010111111010…
…1101001001000011111
3111121220121121001010020
42010233311221020133
54313403321341111
6145251432043223
713204121235054
oct2045765511037
9447817531106
10142536512031
11554a4166181
122375b233513
13105972364a4
146c8246502b
153a93760906
hex212fd6921f

142536512031 has 64 divisors (see below), whose sum is σ = 208782336000. Its totient is φ = 86242060800.

The previous prime is 142536512021. The next prime is 142536512057. The reversal of 142536512031 is 130215635241.

It is not a de Polignac number, because 142536512031 - 29 = 142536511519 is a prime.

It is a super-2 number, since 2×1425365120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142536511983 and 142536512001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142536512021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101883870 + ... + 101885268.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224000).

Almost surely, 2142536512031 is an apocalyptic number.

142536512031 is a deficient number, since it is larger than the sum of its proper divisors (66245823969).

142536512031 is a wasteful number, since it uses less digits than its factorization.

142536512031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 142536512031 in words is "one hundred forty-two billion, five hundred thirty-six million, five hundred twelve thousand, thirty-one".

Divisors: 1 3 29 31 37 87 93 111 899 1021 1073 1147 1399 2697 3063 3219 3441 4197 29609 31651 33263 37777 40571 43369 51763 88827 94953 99789 113331 121713 130107 155289 917879 1095533 1171087 1257701 1428379 1501127 1604653 2753637 3286599 3513261 3773103 4285137 4503381 4813959 33961523 41422991 44279749 46534937 52850023 101884569 124268973 132839247 139604811 158550069 1284112721 1532650667 1638350713 3852338163 4597952001 4915052139 47512170677 142536512031