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1020144314 = 271917332213
BaseRepresentation
bin111100110011100…
…010101010111010
32122002120200220202
4330303202222322
54042124104224
6245121122202
734165040450
oct7463425272
92562520822
101020144314
11483932582
12245789362
131334711b7
14996b29d0
155e85eeae
hex3cce2aba

1020144314 has 32 divisors (see below), whose sum is σ = 1842756480. Its totient is φ = 413767872.

The previous prime is 1020144299. The next prime is 1020144343. The reversal of 1020144314 is 4134410201.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 459872 + ... + 462084.

It is an arithmetic number, because the mean of its divisors is an integer number (57586140).

Almost surely, 21020144314 is an apocalyptic number.

1020144314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1020144314 is a deficient number, since it is larger than the sum of its proper divisors (822612166).

1020144314 is a wasteful number, since it uses less digits than its factorization.

1020144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1020144314 is about 31939.6980887422. The cubic root of 1020144314 is about 1006.6701810958.

Adding to 1020144314 its reverse (4134410201), we get a palindrome (5154554515).

The spelling of 1020144314 in words is "one billion, twenty million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 7 14 19 38 133 266 1733 2213 3466 4426 12131 15491 24262 30982 32927 42047 65854 84094 230489 294329 460978 588658 3835129 7670258 26845903 53691806 72867451 145734902 510072157 1020144314