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142220144000 = 2753114119709
BaseRepresentation
bin1000010001110011111…
…0110010110110000000
3111121002120021212202202
42010130332302312000
54312231324102000
6145200211132332
713163230164224
oct2043476626600
9447076255682
10142220144000
11553516221a0
12236912a40a8
131054682747c
146c52430784
153a75abbdd5
hex211cfb2d80

142220144000 has 256 divisors, whose sum is σ = 395168155200. Its totient is φ = 50452480000.

The previous prime is 142220143999. The next prime is 142220144021. The reversal of 142220144000 is 441022241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 7206146 + ... + 7225854.

Almost surely, 2142220144000 is an apocalyptic number.

142220144000 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 142220144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197584077600).

142220144000 is an abundant number, since it is smaller than the sum of its proper divisors (252948011200).

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

142220144000 is a wasteful number, since it uses less digits than its factorization.

142220144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142220144000 its reverse (441022241), we get a palindrome (142661166241).

The spelling of 142220144000 in words is "one hundred forty-two billion, two hundred twenty million, one hundred forty-four thousand".