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1144148564 = 221373301409
BaseRepresentation
bin100010000110010…
…0101001001010100
32221201220202202202
41010030211021110
54320400223224
6305311024032
740232050046
oct10414451124
92851822682
101144148564
11537929829
1227b20b018
1315306a8b0
14abd51a96
156a6a6eae
hex44325254

1144148564 has 24 divisors (see below), whose sum is σ = 2185825320. Its totient is φ = 520833024.

The previous prime is 1144148561. The next prime is 1144148573. The reversal of 1144148564 is 4658414411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50523664 + 1093624900 = 7108^2 + 33070^2 .

It is a super-3 number, since 3×11441485643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144148561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146909 + ... + 154500.

It is an arithmetic number, because the mean of its divisors is an integer number (91076055).

Almost surely, 21144148564 is an apocalyptic number.

It is an amenable number.

1144148564 is a deficient number, since it is larger than the sum of its proper divisors (1041676756).

1144148564 is a wasteful number, since it uses less digits than its factorization.

1144148564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301499 (or 301497 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 1144148564 is about 33825.2651726487. The cubic root of 1144148564 is about 1045.9095776389.

The spelling of 1144148564 in words is "one billion, one hundred forty-four million, one hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 52 73 146 292 949 1898 3796 301409 602818 1205636 3918317 7836634 15673268 22002857 44005714 88011428 286037141 572074282 1144148564