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1144322010 = 232513978053
BaseRepresentation
bin100010000110100…
…1111011111011010
32221202020120200200
41010031033133122
54320421301020
6305314443030
740233401526
oct10415173732
92852216620
101144322010
11537a38077
1227b293476
131530cb820
14abd98d86
156a6dd590
hex4434f7da

1144322010 has 48 divisors (see below), whose sum is σ = 3204104904. Its totient is φ = 281678976.

The previous prime is 1144321999. The next prime is 1144322017. The reversal of 1144322010 is 102234411.

1144322010 is a `hidden beast` number, since 1 + 1 + 443 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 808662969 + 335659041 = 28437^2 + 18321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1144322017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487857 + ... + 490196.

Almost surely, 21144322010 is an apocalyptic number.

1144322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144322010 is an abundant number, since it is smaller than the sum of its proper divisors (2059782894).

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

1144322010 is a wasteful number, since it uses less digits than its factorization.

1144322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978079 (or 978076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1144322010 is about 33827.8289282656. The cubic root of 1144322010 is about 1045.9624261565.

Adding to 1144322010 its reverse (102234411), we get a palindrome (1246556421).

The spelling of 1144322010 in words is "one billion, one hundred forty-four million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 978053 1956106 2934159 4890265 5868318 8802477 9780530 12714689 14670795 17604954 25429378 29341590 38144067 44012385 63573445 76288134 88024770 114432201 127146890 190720335 228864402 381440670 572161005 1144322010