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142671035808 = 25327253190753
BaseRepresentation
bin1000010011011111011…
…0110011110110100000
3111122020222201120001100
42010313312303312200
54314142241121213
6145313035234400
713210343536500
oct2046766636640
9448228646040
10142671035808
1155563097954
12237982a8a00
13105b9077062
146c96281a00
153aa0484773
hex2137db3da0

142671035808 has 216 divisors, whose sum is σ = 480868325028. Its totient is φ = 39993827328.

The previous prime is 142671035783. The next prime is 142671035809. The reversal of 142671035808 is 808530176241.

142671035808 is a `hidden beast` number, since 1 + 4 + 2 + 67 + 1 + 0 + 3 + 580 + 8 = 666.

142671035808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129677771664 + 12993264144 = 360108^2 + 113988^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142671035809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 652560 + ... + 843312.

Almost surely, 2142671035808 is an apocalyptic number.

142671035808 is a gapful number since it is divisible by the number (18) 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 142671035808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240434162514).

142671035808 is an abundant number, since it is smaller than the sum of its proper divisors (338197289220).

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

142671035808 is a wasteful number, since it uses less digits than its factorization.

142671035808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190836 (or 190818 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 142671035808 in words is "one hundred forty-two billion, six hundred seventy-one million, thirty-five thousand, eight hundred eight".