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142122240 = 2832513273
BaseRepresentation
bin10000111100010…
…01110100000000
3100220102120001200
420132021310000
5242340402430
622034101200
73344006361
oct1036116400
9326376050
10142122240
11732515a7
123b71a800
13235a1300
1414c37b68
15c725460
hex8789d00

142122240 has 324 divisors, whose sum is σ = 539757036. Its totient is φ = 34504704.

The previous prime is 142122187. The next prime is 142122269. The reversal of 142122240 is 42221241.

142122240 is a `hidden beast` number, since 1 + 421 + 2 + 2 + 240 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24443136 + 117679104 = 4944^2 + 10848^2 .

It is a super-2 number, since 2×1421222402 = 40397462205235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946844 + ... + 1946916.

Almost surely, 2142122240 is an apocalyptic number.

142122240 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 142122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269878518).

142122240 is an abundant number, since it is smaller than the sum of its proper divisors (397634796).

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

142122240 is a wasteful number, since it uses less digits than its factorization.

142122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142122240 is about 11921.5032609147. The cubic root of 142122240 is about 521.8600056170.

Adding to 142122240 its reverse (42221241), we get a palindrome (184343481).

Subtracting from 142122240 its reverse (42221241), we obtain a palindrome (99900999).

The spelling of 142122240 in words is "one hundred forty-two million, one hundred twenty-two thousand, two hundred forty".