Search a number
-
+
2414568393 = 3319311491019
BaseRepresentation
bin1000111111101011…
…0110001111001001
320020021102210011000
42033322312033021
514421112142033
61035332325213
7113556330666
oct21772661711
96207383130
102414568393
111029a62a76
12574773809
132c63199c3
1418c972a6d
15e1ea2a13
hex8feb63c9

2414568393 has 64 divisors (see below), whose sum is σ = 3916800000. Its totient is φ = 1464454080.

The previous prime is 2414568371. The next prime is 2414568407. The reversal of 2414568393 is 3938654142.

It is not a de Polignac number, because 2414568393 - 210 = 2414567369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2414568353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2369038 + ... + 2370056.

It is an arithmetic number, because the mean of its divisors is an integer number (61200000).

Almost surely, 22414568393 is an apocalyptic number.

It is an amenable number.

2414568393 is a deficient number, since it is larger than the sum of its proper divisors (1502231607).

2414568393 is a wasteful number, since it uses less digits than its factorization.

2414568393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2414568393 is about 49138.2579361540. The cubic root of 2414568393 is about 1341.5694822104.

The spelling of 2414568393 in words is "two billion, four hundred fourteen million, five hundred sixty-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 19 27 31 57 93 149 171 279 447 513 589 837 1019 1341 1767 2831 3057 4023 4619 5301 8493 9171 13857 15903 19361 25479 27513 31589 41571 58083 76437 87761 94767 124713 151831 174249 263283 284301 455493 522747 600191 789849 852903 1366479 1800573 2369547 2884789 4099437 4706761 5401719 8654367 14120283 16205157 25963101 42360849 77889303 89428459 127082547 268285377 804856131 2414568393