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2424131314 = 2114147211271
BaseRepresentation
bin1001000001111101…
…0100111011110010
320020221102122000021
42100133110323302
514431034200224
61040313314054
7114033530143
oct22037247362
96227378007
102424131314
1110343a4810
12577a0592a
132c82b7637
1418dd41aca
15e2c411e4
hex907d4ef2

2424131314 has 64 divisors (see below), whose sum is σ = 4185022464. Its totient is φ = 1043280000.

The previous prime is 2424131309. The next prime is 2424131323. The reversal of 2424131314 is 4131314242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8944999 + ... + 8945269.

It is an arithmetic number, because the mean of its divisors is an integer number (65390976).

Almost surely, 22424131314 is an apocalyptic number.

2424131314 is a deficient number, since it is larger than the sum of its proper divisors (1760891150).

2424131314 is a wasteful number, since it uses less digits than its factorization.

2424131314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583.

The product of its digits is 2304, while the sum is 25.

The square root of 2424131314 is about 49235.4680489584. The cubic root of 2424131314 is about 1343.3382487381.

Adding to 2424131314 its reverse (4131314242), we get a palindrome (6555445556).

It can be divided in two parts, 24241 and 31314, that added together give a palindrome (55555).

The spelling of 2424131314 in words is "two billion, four hundred twenty-four million, one hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 11 22 41 47 82 94 211 271 422 451 517 542 902 1034 1927 2321 2981 3854 4642 5962 8651 9917 11111 12737 17302 19834 21197 22222 25474 42394 57181 95161 109087 114362 122221 140107 190322 218174 244442 280214 406597 522217 628991 813194 1044434 1257982 2344421 2687507 4472567 4688842 5375014 5744387 8945134 11488774 25788631 29562577 51577262 59125154 110187787 220375574 1212065657 2424131314