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142127274240 = 283357587497
BaseRepresentation
bin1000010001011101110…
…0100001100100000000
3111120212002112121102000
42010113130201210000
54312034040233430
6145143052424000
713161021620010
oct2042734414400
9446762477360
10142127274240
1155304160826
1223666178000
131053050c253
146c43d77c40
153a6c874e60
hex2117721900

142127274240 has 288 divisors, whose sum is σ = 576406037760. Its totient is φ = 32486178816.

The previous prime is 142127274227. The next prime is 142127274313. The reversal of 142127274240 is 42472721241.

142127274240 is a `hidden beast` number, since 14 + 212 + 7 + 2 + 7 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 142127274195 and 142127274204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51829 + ... + 535668.

Almost surely, 2142127274240 is an apocalyptic number.

142127274240 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 142127274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288203018880).

142127274240 is an abundant number, since it is smaller than the sum of its proper divisors (434278763520).

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

142127274240 is an equidigital number, since it uses as much as digits as its factorization.

142127274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587534 (or 587514 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 142127274240 its reverse (42472721241), we get a palindrome (184599995481).

The spelling of 142127274240 in words is "one hundred forty-two billion, one hundred twenty-seven million, two hundred seventy-four thousand, two hundred forty".