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1144141000 = 23531144141
BaseRepresentation
bin100010000110010…
…0011010011001000
32221201220101101121
41010030203103020
54320400003000
6305310525024
740232016022
oct10414432310
92851811347
101144141000
11537924082
1227b206774
13153067312
14abd4d012
156a6a4b1a
hex443234c8

1144141000 has 32 divisors (see below), whose sum is σ = 2677292280. Its totient is φ = 457656000.

The previous prime is 1144140989. The next prime is 1144141067. The reversal of 1144141000 is 1414411.

It can be written as a sum of positive squares in 4 ways, for example, as 190937124 + 953203876 = 13818^2 + 30874^2 .

It is an unprimeable number.

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, 571071 + ... + 573070.

Almost surely, 21144141000 is an apocalyptic number.

1144141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144141000 is an abundant number, since it is smaller than the sum of its proper divisors (1533151280).

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

1144141000 is a wasteful number, since it uses less digits than its factorization.

1144141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144162 (or 1144148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1144141000 is about 33825.1533625496. The cubic root of 1144141000 is about 1045.9072727874.

Adding to 1144141000 its reverse (1414411), we get a palindrome (1145555411).

It can be divided in two parts, 11441 and 41000, that added together give a square (52441 = 2292).

The spelling of 1144141000 in words is "one billion, one hundred forty-four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1144141 2288282 4576564 5720705 9153128 11441410 22882820 28603525 45765640 57207050 114414100 143017625 228828200 286035250 572070500 1144141000