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142027966080 = 273457211131723
BaseRepresentation
bin1000010001000110000…
…1101100011010000000
3111120121011200020020000
42010101201230122000
54311333124403310
6145125144120000
713155404535600
oct2042141543200
9446534606200
10142027966080
11552630a2070
1223638a66000
1310515a7b620
146c34ac6c00
153a63caa4c0
hex211186c680

142027966080 has 3840 divisors, whose sum is σ = 765851708160. Its totient is φ = 24524881920.

The previous prime is 142027966079. The next prime is 142027966099. The reversal of 142027966080 is 80669720241.

It is a happy number.

142027966080 is a `hidden beast` number, since 1 + 420 + 2 + 7 + 96 + 60 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6175128949 + ... + 6175128971.

It is an arithmetic number, because the mean of its divisors is an integer number (199440549).

Almost surely, 2142027966080 is an apocalyptic number.

142027966080 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 142027966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382925854080).

142027966080 is an abundant number, since it is smaller than the sum of its proper divisors (623823742080).

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

142027966080 is a wasteful number, since it uses less digits than its factorization.

142027966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 142027966080 in words is "one hundred forty-two billion, twenty-seven million, nine hundred sixty-six thousand, eighty".