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142120314126 = 23372179973169
BaseRepresentation
bin1000010001011100000…
…1111110010100001110
3111120211121102222221000
42010113001332110032
54312030300023001
6145142243321130
713160605511100
oct2042701762416
9446747388830
10142120314126
115530023756a
12236639801a6
131052bc4323b
146c43085570
153a6be4ca86
hex211707e50e

142120314126 has 192 divisors, whose sum is σ = 389509819200. Its totient is φ = 38166847488.

The previous prime is 142120314121. The next prime is 142120314131. The reversal of 142120314126 is 621413021241.

142120314126 is a `hidden beast` number, since 1 + 4 + 212 + 0 + 31 + 412 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142120314121) and next prime (142120314131).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142120314126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142120314121) 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 95 ways as a sum of consecutive naturals, for example, 44845470 + ... + 44848638.

It is an arithmetic number, because the mean of its divisors is an integer number (2028696975).

Almost surely, 2142120314126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142120314126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194754909600).

142120314126 is an abundant number, since it is smaller than the sum of its proper divisors (247389505074).

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

142120314126 is a wasteful number, since it uses less digits than its factorization.

142120314126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142120314126 its reverse (621413021241), we get a palindrome (763533335367).

The spelling of 142120314126 in words is "one hundred forty-two billion, one hundred twenty million, three hundred fourteen thousand, one hundred twenty-six".