Search a number
-
+
2414774142 = 2321137329617
BaseRepresentation
bin1000111111101110…
…1000011101111110
320020021211020101100
42033323220131332
514421140233032
61035340553530
7113561145564
oct21773503576
96207736340
102414774142
11102a093610
125748528a6
132c638c551
1418c9c7a34
15e1ee397c
hex8fee877e

2414774142 has 48 divisors (see below), whose sum is σ = 5861926512. Its totient is φ = 711970560.

The previous prime is 2414774111. The next prime is 2414774143.

2414774142 is a `hidden beast` number, since 2 + 41 + 477 + 4 + 142 = 666.

2414774142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24147741422 = 11662268313743672328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414774097 and 2414774106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414774143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157483 + ... + 172134.

It is an arithmetic number, because the mean of its divisors is an integer number (122123469).

Almost surely, 22414774142 is an apocalyptic number.

2414774142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2414774142 is an abundant number, since it is smaller than the sum of its proper divisors (3447152370).

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

2414774142 is a wasteful number, since it uses less digits than its factorization.

2414774142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329673 (or 329670 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 2414774142 is about 49140.3514639446. The cubic root of 2414774142 is about 1341.6075868450.

It can be divided in two parts, 2414774 and 142, that added together give a square (2414916 = 15542).

The spelling of 2414774142 in words is "two billion, four hundred fourteen million, seven hundred seventy-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 329617 659234 988851 1977702 2966553 3625787 5933106 7251574 10877361 12195829 21754722 24391658 32632083 36587487 65264166 73174974 109762461 134154119 219524922 268308238 402462357 804924714 1207387071 2414774142