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142224050880 = 263651735863
BaseRepresentation
bin1000010001110100110…
…1101100101011000000
3111121002211122101000000
42010131031230223000
54312233324112010
6145200431000000
713163305325442
oct2043515545300
9447084571000
10142224050880
115535385051a
1223692669000
1310547594832
146c52b6a492
153a760de7c0
hex211d36cac0

142224050880 has 392 divisors, whose sum is σ = 537658312032. Its totient is φ = 35694452736.

The previous prime is 142224050867. The next prime is 142224050887. The reversal of 142224050880 is 88050422241.

142224050880 is a `hidden beast` number, since 14 + 2 + 22 + 40 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142224050887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3947829 + ... + 3983691.

Almost surely, 2142224050880 is an apocalyptic number.

142224050880 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 142224050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268829156016).

142224050880 is an abundant number, since it is smaller than the sum of its proper divisors (395434261152).

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

142224050880 is an equidigital number, since it uses as much as digits as its factorization.

142224050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35915 (or 35890 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 142224050880 in words is "one hundred forty-two billion, two hundred twenty-four million, fifty thousand, eight hundred eighty".