Search a number
-
+
2414554142 = 2711131206071
BaseRepresentation
bin1000111111101011…
…0010110000011110
320020021102001121012
42033322302300132
514421111213032
61035332135222
7113556241310
oct21772626036
96207361535
102414554142
111029a532a0
12574767512
132c6313380
1418c96b7b0
15e1e9d6b2
hex8feb2c1e

2414554142 has 32 divisors (see below), whose sum is σ = 4862882304. Its totient is φ = 868370400.

The previous prime is 2414554117. The next prime is 2414554147.

2414554142 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2414554099 and 2414554108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414554147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601034 + ... + 605037.

It is an arithmetic number, because the mean of its divisors is an integer number (151965072).

Almost surely, 22414554142 is an apocalyptic number.

2414554142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2414554142 is an abundant number, since it is smaller than the sum of its proper divisors (2448328162).

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

2414554142 is a wasteful number, since it uses less digits than its factorization.

2414554142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206104.

The product of its digits is 25600, while the sum is 32.

The square root of 2414554142 is about 49138.1129267293. The cubic root of 2414554142 is about 1341.5668428506.

It can be divided in two parts, 24145 and 54142, that added together give a palindrome (78287).

The spelling of 2414554142 in words is "two billion, four hundred fourteen million, five hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 1206071 2412142 8442497 13266781 15678923 16884994 26533562 31357846 92867467 109752461 172468153 185734934 219504922 344936306 1207277071 2414554142