Search a number
-
+
142192486440 = 233257321125643
BaseRepresentation
bin1000010001101101010…
…1010010100000101000
3111121000122020201201200
42010123111102200220
54312202234031230
6145153342244200
713162443123024
oct2043325224050
9447018221650
10142192486440
1155337a51704
1223683b86660
1310540b92754
146c4c8b1384
153a73457160
hex211b552828

142192486440 has 192 divisors, whose sum is σ = 470694594240. Its totient is φ = 37219875840.

The previous prime is 142192486417. The next prime is 142192486441. The reversal of 142192486440 is 44684291241.

142192486440 is a `hidden beast` number, since 1 + 42 + 1 + 92 + 4 + 86 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142192486441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5532259 + ... + 5557901.

It is an arithmetic number, because the mean of its divisors is an integer number (2451534345).

Almost surely, 2142192486440 is an apocalyptic number.

142192486440 is a gapful number since it is divisible by the number (10) 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 142192486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235347297120).

142192486440 is an abundant number, since it is smaller than the sum of its proper divisors (328502107800).

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

142192486440 is a wasteful number, since it uses less digits than its factorization.

142192486440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25944 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142192486440 in words is "one hundred forty-two billion, one hundred ninety-two million, four hundred eighty-six thousand, four hundred forty".