Search a number
-
+
11344644311 = 7112131013
BaseRepresentation
bin10101001000011000…
…11000100011010111
31002021121221122100112
422210030120203113
5141213212104221
65113415033235
7551062612520
oct124414304327
932247848315
1011344644311
1148a1835200
12224736b81b
1310ba456bb0
14798985847
15465e6b15b
hex2a43188d7

11344644311 has 48 divisors (see below), whose sum is σ = 15500837184. Its totient is φ = 8079192000.

The previous prime is 11344644287. The next prime is 11344644341.

11344644311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11344644311 - 26 = 11344644247 is a prime.

It is a super-3 number, since 3×113446443113 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344644341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112323161 + ... + 112323261.

It is an arithmetic number, because the mean of its divisors is an integer number (322934108).

Almost surely, 211344644311 is an apocalyptic number.

11344644311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11344644311 is a deficient number, since it is larger than the sum of its proper divisors (4156192873).

11344644311 is an frugal number, since it uses more digits than its factorization.

11344644311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 132 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 11344644311 in words is "eleven billion, three hundred forty-four million, six hundred forty-four thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 10201 11011 12221 14443 71407 85547 101101 112211 132613 158873 785477 928291 1030301 1112111 1234321 1458743 7212107 8640247 10211201 11333311 13393913 16046173 79333177 93757391 112323211 124666421 147333043 872664947 1031331301 1620663473 11344644311