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2814459138 = 2321031818387
BaseRepresentation
bin1010011111000001…
…0011110100000010
321021010220100010100
42213300103310002
521231000143023
61143135343230
7126513336141
oct24760236402
97233810110
102814459138
111214763897
12666681b16
1335b12064a
141c9b09758
15117143c43
hexa7c13d02

2814459138 has 48 divisors (see below), whose sum is σ = 6191954496. Its totient is φ = 923801760.

The previous prime is 2814459127. The next prime is 2814459149. The reversal of 2814459138 is 8319544182.

2814459138 is a `hidden beast` number, since 28 + 1 + 4 + 4 + 591 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (2814459127) and next prime (2814459149).

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 a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2814459093 and 2814459102.

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, 331381 + ... + 339767.

It is an arithmetic number, because the mean of its divisors is an integer number (128999052).

Almost surely, 22814459138 is an apocalyptic number.

2814459138 is an abundant number, since it is smaller than the sum of its proper divisors (3377495358).

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

2814459138 is a wasteful number, since it uses less digits than its factorization.

2814459138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8676 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2814459138 is about 53051.4763036807. The cubic root of 2814459138 is about 1411.8817218160.

The spelling of 2814459138 in words is "two billion, eight hundred fourteen million, four hundred fifty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 103 181 206 309 362 543 618 927 1086 1629 1854 3258 8387 16774 18643 25161 37286 50322 55929 75483 111858 150966 167787 335574 863861 1518047 1727722 2591583 3036094 4554141 5183166 7774749 9108282 13662423 15549498 27324846 156358841 312717682 469076523 938153046 1407229569 2814459138