Search a number
-
+
4131442314 = 233591296749
BaseRepresentation
bin1111011001000000…
…1100111010001010
3101122221001000102000
43312100030322022
531430122123224
61521543051430
7204244452216
oct36620147212
911587030360
104131442314
11183010083a
12973740b76
1350ac2382c
142b29ab946
15192a8b0c9
hexf640ce8a

4131442314 has 32 divisors (see below), whose sum is σ = 9336600000. Its totient is φ = 1353804912.

The previous prime is 4131442291. The next prime is 4131442331. The reversal of 4131442314 is 4132441314.

4131442314 is a `hidden beast` number, since 413 + 14 + 4 + 231 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645189 + ... + 651560.

It is an arithmetic number, because the mean of its divisors is an integer number (291768750).

Almost surely, 24131442314 is an apocalyptic number.

4131442314 is an abundant number, since it is smaller than the sum of its proper divisors (5205157686).

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

4131442314 is a wasteful number, since it uses less digits than its factorization.

4131442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296819 (or 1296813 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4131442314 is about 64276.2966730349. The cubic root of 4131442314 is about 1604.6016375304.

Adding to 4131442314 its reverse (4132441314), we get a palindrome (8263883628).

The spelling of 4131442314 in words is "four billion, one hundred thirty-one million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 1296749 2593498 3890247 7780494 11670741 23341482 35012223 70024446 76508191 153016382 229524573 459049146 688573719 1377147438 2065721157 4131442314