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142327944 = 233211217312
BaseRepresentation
bin10000111101111…
…00000010001000
3100220211000020100
420132330002020
5242413443234
622042325400
73345524163
oct1036740210
9326730210
10142327944
1173382100
123b7b9860
1323643b25
1414c8cada
15c766399
hex87bc088

142327944 has 216 divisors, whose sum is σ = 463562190. Its totient is φ = 39283200.

The previous prime is 142327877. The next prime is 142327957. The reversal of 142327944 is 449723241.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 37675044 = 10230^2 + 6138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142327899 and 142327908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4591209 + ... + 4591239.

Almost surely, 2142327944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142327944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231781095).

142327944 is an abundant number, since it is smaller than the sum of its proper divisors (321234246).

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

142327944 is a wasteful number, since it uses less digits than its factorization.

142327944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 142327944 is about 11930.1275768535. The cubic root of 142327944 is about 522.1116597352. Note that the first 3 decimals are identical.

The spelling of 142327944 in words is "one hundred forty-two million, three hundred twenty-seven thousand, nine hundred forty-four".