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1144205436 = 2231160114423
BaseRepresentation
bin100010000110011…
…0011000001111100
32221202000122210010
41010030303001330
54320404033221
6305312143220
740232404623
oct10414630174
92852018703
101144205436
11537968530
1227b237b10
1315308a74a
14abd686ba
156a6b8c76
hex4433307c

1144205436 has 48 divisors (see below), whose sum is σ = 2917571328. Its totient is φ = 346128000.

The previous prime is 1144205429. The next prime is 1144205509. The reversal of 1144205436 is 6345024411.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72121 + ... + 86543.

It is an arithmetic number, because the mean of its divisors is an integer number (60782736).

Almost surely, 21144205436 is an apocalyptic number.

It is an amenable number.

1144205436 is an abundant number, since it is smaller than the sum of its proper divisors (1773365892).

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

1144205436 is a wasteful number, since it uses less digits than its factorization.

1144205436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1144205436 is about 33826.1058355821. The cubic root of 1144205436 is about 1045.9269069688.

Adding to 1144205436 its reverse (6345024411), we get a palindrome (7489229847).

The spelling of 1144205436 in words is "one billion, one hundred forty-four million, two hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 601 1202 1803 2404 3606 6611 7212 13222 14423 19833 26444 28846 39666 43269 57692 79332 86538 158653 173076 317306 475959 634612 951918 1903836 8668223 17336446 26004669 34672892 52009338 95350453 104018676 190700906 286051359 381401812 572102718 1144205436