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142244062200 = 23335285330881
BaseRepresentation
bin1000010001111001101…
…0000010001111111000
3111121011020022001101000
42010132122002033320
54312303434442300
6145202423525000
713163640402462
oct2043632021770
9447136261330
10142244062200
11553640792a9
12236992b9760
131054b780156
146c55699132
153a77c43c00
hex211e6823f8

142244062200 has 192 divisors, whose sum is σ = 490542040800. Its totient is φ = 37886054400.

The previous prime is 142244062159. The next prime is 142244062201. The reversal of 142244062200 is 2260442241.

142244062200 is a `hidden beast` number, since 14 + 2 + 2 + 440 + 6 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142244062201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4590760 + ... + 4621640.

Almost surely, 2142244062200 is an apocalyptic number.

142244062200 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 142244062200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245271020400).

142244062200 is an abundant number, since it is smaller than the sum of its proper divisors (348297978600).

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

142244062200 is a wasteful number, since it uses less digits than its factorization.

142244062200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31759 (or 31744 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 142244062200 in words is "one hundred forty-two billion, two hundred forty-four million, sixty-two thousand, two hundred".