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1444242144 = 253122912241
BaseRepresentation
bin101011000010101…
…0110001011100000
310201122121002202210
41112011112023200
510424211222034
6355151042120
750534566332
oct12605261340
93648532683
101444242144
11681267554
12343810340
131a029c167
14d9b4b452
1586bd38e9
hex561562e0

1444242144 has 48 divisors (see below), whose sum is σ = 3794530320. Its totient is φ = 480983040.

The previous prime is 1444242143. The next prime is 1444242181. The reversal of 1444242144 is 4412424441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444242143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111864 + ... + 124104.

It is an arithmetic number, because the mean of its divisors is an integer number (79052715).

Almost surely, 21444242144 is an apocalyptic number.

It is an amenable number.

1444242144 is an abundant number, since it is smaller than the sum of its proper divisors (2350288176).

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

1444242144 is a wasteful number, since it uses less digits than its factorization.

1444242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483 (or 13475 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 1444242144 is about 38003.1859717051. The cubic root of 1444242144 is about 1130.3510392910.

Adding to 1444242144 its reverse (4412424441), we get a palindrome (5856666585).

The spelling of 1444242144 in words is "one billion, four hundred forty-four million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1229 2458 3687 4916 7374 9832 12241 14748 19664 24482 29496 36723 39328 48964 58992 73446 97928 117984 146892 195856 293784 391712 587568 1175136 15044189 30088378 45132567 60176756 90265134 120353512 180530268 240707024 361060536 481414048 722121072 1444242144