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1444311240 = 233527743451
BaseRepresentation
bin101011000010110…
…0111000011001000
310201122201121112220
41112011213003020
510424220424430
6355152334040
750535304641
oct12605470310
93648647486
101444311240
11681304459
12343844320
131a02c4748
14d9b686c8
1586be9110
hex561670c8

1444311240 has 64 divisors (see below), whose sum is σ = 4348676160. Its totient is φ = 383750400.

The previous prime is 1444311229. The next prime is 1444311241. The reversal of 1444311240 is 421134441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1444311240.

It is not an unprimeable number, because it can be changed into a prime (1444311241) 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 15 ways as a sum of consecutive naturals, for example, 11515 + ... + 54965.

It is an arithmetic number, because the mean of its divisors is an integer number (67948065).

Almost surely, 21444311240 is an apocalyptic number.

1444311240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174338080).

1444311240 is an abundant number, since it is smaller than the sum of its proper divisors (2904364920).

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

1444311240 is a wasteful number, since it uses less digits than its factorization.

1444311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43742 (or 43738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1444311240 is about 38004.0950425082. The cubic root of 1444311240 is about 1130.3690652363.

Adding to 1444311240 its reverse (421134441), we get a palindrome (1865445681).

The spelling of 1444311240 in words is "one billion, four hundred forty-four million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 8310 11080 16620 33240 43451 86902 130353 173804 217255 260706 347608 434510 521412 651765 869020 1042824 1303530 1738040 2607060 5214120 12035927 24071854 36107781 48143708 60179635 72215562 96287416 120359270 144431124 180538905 240718540 288862248 361077810 481437080 722155620 1444311240