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1444124020 = 225292489869
BaseRepresentation
bin101011000010011…
…1001010101110100
310201122101002201211
41112010321111310
510424143432040
6355144331204
750533565053
oct12604712564
93648332654
101444124020
11681196829
12343773b04
131a025a471
14d9b1a39a
1586bad8ea
hex56139574

1444124020 has 24 divisors (see below), whose sum is σ = 3137236200. Its totient is φ = 557730432.

The previous prime is 1444123999. The next prime is 1444124027. The reversal of 1444124020 is 204214441.

It can be written as a sum of positive squares in 4 ways, for example, as 7107556 + 1437016464 = 2666^2 + 37908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1444123982 and 1444124000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444124027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244355 + ... + 1245514.

It is an arithmetic number, because the mean of its divisors is an integer number (130718175).

Almost surely, 21444124020 is an apocalyptic number.

1444124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444124020 is an abundant number, since it is smaller than the sum of its proper divisors (1693112180).

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

1444124020 is a wasteful number, since it uses less digits than its factorization.

1444124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489907 (or 2489905 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1444124020 is about 38001.6318070685. The cubic root of 1444124020 is about 1130.3202214610.

Adding to 1444124020 its reverse (204214441), we get a palindrome (1648338461).

The spelling of 1444124020 in words is "one billion, four hundred forty-four million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2489869 4979738 9959476 12449345 24898690 49797380 72206201 144412402 288824804 361031005 722062010 1444124020