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142244533200 = 243527114335801
BaseRepresentation
bin1000010001111001101…
…1110101001111010000
3111121011021011222110110
42010132123311033100
54312304100030300
6145202442001320
713163644403610
oct2043633651720
9447137158413
10142244533200
1155364370160
12236994a6240
131054b8b6653
146c5577ca40
153a77cd8550
hex211e6f53d0

142244533200 has 480 divisors, whose sum is σ = 581319078912. Its totient is φ = 28869120000.

The previous prime is 142244533181. The next prime is 142244533213. The reversal of 142244533200 is 2335442241.

142244533200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3955300 + ... + 3991100.

Almost surely, 2142244533200 is an apocalyptic number.

142244533200 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 142244533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290659539456).

142244533200 is an abundant number, since it is smaller than the sum of its proper divisors (439074545712).

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

142244533200 is a wasteful number, since it uses less digits than its factorization.

142244533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35883 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 142244533200 its reverse (2335442241), we get a palindrome (144579975441).

The spelling of 142244533200 in words is "one hundred forty-two billion, two hundred forty-four million, five hundred thirty-three thousand, two hundred".