Search a number
-
+
142123014 = 232111993607
BaseRepresentation
bin10000111100010…
…10000000000110
3100220102121010100
420132022000012
5242340414024
622034104530
73344011545
oct1036120006
9326377110
10142123014
1173252140
123b71b146
13235a1777
1414c3815c
15c7257c9
hex878a006

142123014 has 48 divisors (see below), whose sum is σ = 337708800. Its totient is φ = 42839280.

The previous prime is 142122991. The next prime is 142123039. The reversal of 142123014 is 410321241.

142123014 is a `hidden beast` number, since 1 + 421 + 230 + 14 = 666.

It is a super-2 number, since 2×1421230142 = 40397902216888392, 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 23 ways as a sum of consecutive naturals, for example, 37599 + ... + 41205.

It is an arithmetic number, because the mean of its divisors is an integer number (7035600).

Almost surely, 2142123014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142123014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168854400).

142123014 is an abundant number, since it is smaller than the sum of its proper divisors (195585786).

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

142123014 is a wasteful number, since it uses less digits than its factorization.

142123014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142123014 is about 11921.5357232196. The cubic root of 142123014 is about 521.8609529679.

Adding to 142123014 its reverse (410321241), we get a palindrome (552444255).

The spelling of 142123014 in words is "one hundred forty-two million, one hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 398 597 1194 1791 2189 3582 3607 4378 6567 7214 10821 13134 19701 21642 32463 39402 39677 64926 79354 119031 238062 357093 714186 717793 1435586 2153379 4306758 6460137 7895723 12920274 15791446 23687169 47374338 71061507 142123014