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142022957040 = 24345137159979
BaseRepresentation
bin1000010001000100111…
…0100101011111110000
3111120120211020202010000
42010101032211133300
54311330334111130
6145124444510000
713155314134146
oct2042116453760
9446524222100
10142022957040
1155260290768
122363724b300
1310514a166b3
146c34181596
153a6361b260
hex21113a57f0

142022957040 has 200 divisors, whose sum is σ = 496870363440. Its totient is φ = 37596109824.

The previous prime is 142022957033. The next prime is 142022957077. The reversal of 142022957040 is 40759220241.

142022957040 is a `hidden beast` number, since 1 + 4 + 20 + 2 + 29 + 570 + 40 = 666.

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 = 142022956986 and 142022957004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 807771 + ... + 967749.

Almost surely, 2142022957040 is an apocalyptic number.

142022957040 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 142022957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248435181720).

142022957040 is an abundant number, since it is smaller than the sum of its proper divisors (354847406400).

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

142022957040 is a wasteful number, since it uses less digits than its factorization.

142022957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160141 (or 160126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 142022957040 in words is "one hundred forty-two billion, twenty-two million, nine hundred fifty-seven thousand, forty".