Search a number
-
+
142859059200 = 21432521113271
BaseRepresentation
bin1000010100001100010…
…0000100000000000000
3111122202002112010122200
42011003010010000000
54320033404343300
6145343433233200
713215115652604
oct2050304040000
9448662463580
10142859059200
115564a23a690
122382b262800
1310618cc9bc0
146cb3227504
153ab1c25200
hex2143104000

142859059200 has 1080 divisors, whose sum is σ = 603420295296. Its totient is φ = 31850496000.

The previous prime is 142859059199. The next prime is 142859059223. The reversal of 142859059200 is 2950958241.

It is a happy number.

142859059200 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 59 + 0 + 592 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527155065 + ... + 527155335.

Almost surely, 2142859059200 is an apocalyptic number.

142859059200 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 142859059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301710147648).

142859059200 is an abundant number, since it is smaller than the sum of its proper divisors (460561236096).

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

142859059200 is a wasteful number, since it uses less digits than its factorization.

142859059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 142859059200 in words is "one hundred forty-two billion, eight hundred fifty-nine million, fifty-nine thousand, two hundred".