Search a number
-
+
142112360936 = 2373132191272
BaseRepresentation
bin1000010001011010001…
…1101000100111101000
3111120211001110221012102
42010112203220213220
54312021231022221
6145141401032532
713160451065000
oct2042643504750
9446731427172
10142112360936
11552a67a5187
1223661185748
131052a3ba200
146c41db5000
153a6b3cb30b
hex21168e89e8

142112360936 has 288 divisors, whose sum is σ = 357003720000. Its totient is φ = 52841932416.

The previous prime is 142112360927. The next prime is 142112360941. The reversal of 142112360936 is 639063211241.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 142112360936.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1118994905 + ... + 1118995031.

It is an arithmetic number, because the mean of its divisors is an integer number (1239596250).

Almost surely, 2142112360936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142112360936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178501860000).

142112360936 is an abundant number, since it is smaller than the sum of its proper divisors (214891359064).

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

142112360936 is a wasteful number, since it uses less digits than its factorization.

142112360936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 142112360936 in words is "one hundred forty-two billion, one hundred twelve million, three hundred sixty thousand, nine hundred thirty-six".