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1144114344 = 233215890477
BaseRepresentation
bin100010000110001…
…1100110010101000
32221201212000211100
41010030130302220
54320343124334
6305310201400
740231545222
oct10414346250
92851760740
101144114344
1153790604a
1227b1b3260
13153058149
14abd43412
156a69bc99
hex4431cca8

1144114344 has 24 divisors (see below), whose sum is σ = 3098643210. Its totient is φ = 381371424.

The previous prime is 1144114343. The next prime is 1144114357. The reversal of 1144114344 is 4434114411.

It can be written as a sum of positive squares in only one way, i.e., 1021569444 + 122544900 = 31962^2 + 11070^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1144114343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7945167 + ... + 7945310.

Almost surely, 21144114344 is an apocalyptic number.

It is an amenable number.

1144114344 is an abundant number, since it is smaller than the sum of its proper divisors (1954528866).

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

1144114344 is a wasteful number, since it uses less digits than its factorization.

1144114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15890489 (or 15890482 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1144114344 is about 33824.7593339554. The cubic root of 1144114344 is about 1045.8991502685.

Adding to 1144114344 its reverse (4434114411), we get a palindrome (5578228755).

The spelling of 1144114344 in words is "one billion, one hundred forty-four million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15890477 31780954 47671431 63561908 95342862 127123816 143014293 190685724 286028586 381371448 572057172 1144114344