Search a number
-
+
142458582960 = 243253147135799
BaseRepresentation
bin1000010010101100110…
…0010111011110110000
3111121201011221211112100
42010223030113132300
54313223344123320
6145240005500400
713202153655441
oct2045314273660
9447634854470
10142458582960
1155464179991
1223739111700
131058404c905
146c75d7b2c8
153a8b9ba790
hex212b3177b0

142458582960 has 240 divisors, whose sum is σ = 504367718400. Its totient is φ = 35981038080.

The previous prime is 142458582953. The next prime is 142458582961. The reversal of 142458582960 is 69285854241.

142458582960 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 58 + 582 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 142458582897 and 142458582906.

It is not an unprimeable number, because it can be changed into a prime (142458582961) 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, 981141 + ... + 1116939.

It is an arithmetic number, because the mean of its divisors is an integer number (2101532160).

Almost surely, 2142458582960 is an apocalyptic number.

142458582960 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 142458582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252183859200).

142458582960 is an abundant number, since it is smaller than the sum of its proper divisors (361909135440).

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

142458582960 is a wasteful number, since it uses less digits than its factorization.

142458582960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135896 (or 135887 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 142458582960 in words is "one hundred forty-two billion, four hundred fifty-eight million, five hundred eighty-two thousand, nine hundred sixty".