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1144224411 = 311731373467
BaseRepresentation
bin100010000110011…
…0111101010011011
32221202001121210220
41010030313222123
54320410140121
6305312411123
740232514141
oct10414675233
92852047726
101144224411
11537980810
1227b246aa3
13153096285
14abd71591
156a6be6c6
hex44337a9b

1144224411 has 32 divisors (see below), whose sum is σ = 1699930368. Its totient is φ = 678781440.

The previous prime is 1144224409. The next prime is 1144224443.

1144224411 is nontrivially palindromic in base 10.

1144224411 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1144224411 - 21 = 1144224409 is a prime.

It is a super-3 number, since 3×11442244113 (a number of 28 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1144224511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328300 + ... + 331766.

It is an arithmetic number, because the mean of its divisors is an integer number (53122824).

Almost surely, 21144224411 is an apocalyptic number.

1144224411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1144224411 is a deficient number, since it is larger than the sum of its proper divisors (555705957).

1144224411 is a wasteful number, since it uses less digits than its factorization.

1144224411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691.

The product of its digits is 1024, while the sum is 24.

The square root of 1144224411 is about 33826.3863130545. The cubic root of 1144224411 is about 1045.9326886676.

It can be divided in two parts, 11442 and 24411, that added together give a palindrome (35853).

The spelling of 1144224411 in words is "one billion, one hundred forty-four million, two hundred twenty-four thousand, four hundred eleven".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 3467 4521 10001 10401 30003 38137 110011 114411 253091 330033 474979 759273 1424937 2784001 5224769 8352003 15674307 34673467 104020401 381408137 1144224411