Search a number
-
+
142223883192 = 2332171274332113
BaseRepresentation
bin1000010001110100110…
…1000011101110111000
3111121002211022211222100
42010131031003232320
54312233303230232
6145200423223400
713163304026526
oct2043515035670
9447084284870
10142223883192
1155353746536
12236925a7b60
1310547536401
146c52b25316
153a760a9c7c
hex211d343bb8

142223883192 has 192 divisors, whose sum is σ = 412203617280. Its totient is φ = 44144787456.

The previous prime is 142223883079. The next prime is 142223883223. The reversal of 142223883192 is 291388322241.

142223883192 is a `hidden beast` number, since 1 + 422 + 2 + 38 + 8 + 3 + 192 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67307928 + ... + 67310040.

It is an arithmetic number, because the mean of its divisors is an integer number (2146893840).

Almost surely, 2142223883192 is an apocalyptic number.

142223883192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142223883192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206101808640).

142223883192 is an abundant number, since it is smaller than the sum of its proper divisors (269979734088).

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

142223883192 is a wasteful number, since it uses less digits than its factorization.

142223883192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2695 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 142223883192 in words is "one hundred forty-two billion, two hundred twenty-three million, eight hundred eighty-three thousand, one hundred ninety-two".