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3144430311 = 311375943649
BaseRepresentation
bin1011101101101100…
…0011001011100111
322010010210121110220
42323123003023213
522414433232221
61240004015423
7140631134211
oct27333031347
98103717426
103144430311
111373a49040
12739091573
133b15b3269
1421b8815b1
151360c30c6
hexbb6c32e7

3144430311 has 32 divisors (see below), whose sum is σ = 4777056000. Its totient is φ = 1822740480.

The previous prime is 3144430309. The next prime is 3144430319. The reversal of 3144430311 is 1130344413.

It is not a de Polignac number, because 3144430311 - 21 = 3144430309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144430319) 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 31 ways as a sum of consecutive naturals, for example, 50215 + ... + 93863.

It is an arithmetic number, because the mean of its divisors is an integer number (149283000).

Almost surely, 23144430311 is an apocalyptic number.

3144430311 is a deficient number, since it is larger than the sum of its proper divisors (1632625689).

3144430311 is a wasteful number, since it uses less digits than its factorization.

3144430311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43759.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3144430311 is about 56075.2201154842. The cubic root of 3144430311 is about 1465.0327212189.

Adding to 3144430311 its reverse (1130344413), we get a palindrome (4274774724).

The spelling of 3144430311 in words is "three billion, one hundred forty-four million, four hundred thirty thousand, three hundred eleven".

Divisors: 1 3 11 33 37 59 111 177 407 649 1221 1947 2183 6549 24013 43649 72039 130947 480139 1440417 1615013 2575291 4845039 7725873 17765143 28328201 53295429 84984603 95285767 285857301 1048143437 3144430311