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142394040 = 233251753439
BaseRepresentation
bin10000111110011…
…00001010111000
3100220221100220100
420133030022320
5242423102130
622043555400
73346220655
oct1037141270
9326840810
10142394040
1173417828
123b82bb60
1323667c39
1414ca8c2c
15c77ac60
hex87cc2b8

142394040 has 192 divisors, whose sum is σ = 500385600. Its totient is φ = 34983936.

The previous prime is 142394033. The next prime is 142394059. The reversal of 142394040 is 40493241.

It is a junction number, because it is equal to n+sod(n) for n = 142393995 and 142394013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 324141 + ... + 324579.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 2142394040 is an apocalyptic number.

142394040 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 142394040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250192800).

142394040 is an abundant number, since it is smaller than the sum of its proper divisors (357991560).

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

142394040 is a wasteful number, since it uses less digits than its factorization.

142394040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142394040 is about 11932.8973849606. The cubic root of 142394040 is about 522.1924687708.

The spelling of 142394040 in words is "one hundred forty-two million, three hundred ninety-four thousand, forty".