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2314412144 = 241131342013
BaseRepresentation
bin1000100111110011…
…0010000001110000
312222021222022121022
42021330302001300
514214442142034
61021353515012
7111232115162
oct21174620160
95867868538
102314412144
11a88475110
12547112a68
132ab650055
1417d540932
15d82bbb2e
hex89f32070

2314412144 has 40 divisors (see below), whose sum is σ = 4907571312. Its totient is φ = 1048619520.

The previous prime is 2314412119. The next prime is 2314412153. The reversal of 2314412144 is 4412144132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34082 + ... + 76094.

Almost surely, 22314412144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453785656).

2314412144 is an abundant number, since it is smaller than the sum of its proper divisors (2593159168).

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

2314412144 is a wasteful number, since it uses less digits than its factorization.

2314412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42345 (or 42339 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 2314412144 is about 48108.3375726079. The cubic root of 2314412144 is about 1322.7575015164.

Adding to 2314412144 its reverse (4412144132), we get a palindrome (6726556276).

The spelling of 2314412144 in words is "two billion, three hundred fourteen million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 313 626 1252 2504 3443 5008 6886 13772 27544 42013 55088 84026 168052 336104 462143 672208 924286 1848572 3697144 7394288 13150069 26300138 52600276 105200552 144650759 210401104 289301518 578603036 1157206072 2314412144