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1444324224 = 27373117333
BaseRepresentation
bin101011000010110…
…1010001110000000
310201122202021100210
41112011222032000
510424221333344
6355152514120
750535360540
oct12605521600
93648667323
101444324224
11681313192
1234384b940
131a02ca625
14d9b6d320
1586becdb9
hex5616a380

1444324224 has 128 divisors (see below), whose sum is σ = 4526254080. Its totient is φ = 399329280.

The previous prime is 1444324223. The next prime is 1444324243. The reversal of 1444324224 is 4224234441.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1444324191 and 1444324200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444324223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74662 + ... + 91994.

It is an arithmetic number, because the mean of its divisors is an integer number (35361360).

Almost surely, 21444324224 is an apocalyptic number.

1444324224 is a gapful number since it is divisible by the number (14) 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 1444324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263127040).

1444324224 is an abundant number, since it is smaller than the sum of its proper divisors (3081929856).

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

1444324224 is a wasteful number, since it uses less digits than its factorization.

1444324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17388 (or 17376 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 1444324224 is about 38004.2658658209. The cubic root of 1444324224 is about 1130.3724524720.

Adding to 1444324224 its reverse (4224234441), we get a palindrome (5668558665).

The spelling of 1444324224 in words is "one billion, four hundred forty-four million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 17333 20832 27776 34666 41664 51999 69332 83328 103998 121331 138664 207996 242662 277328 363993 415992 485324 537323 554656 727986 831984 970648 1074646 1109312 1455972 1611969 1663968 1941296 2149292 2218624 2911944 3223938 3327936 3761261 3882592 4298584 5823888 6447876 6655872 7522522 7765184 8597168 11283783 11647776 12895752 15045044 15530368 17194336 22567566 23295552 25791504 30090088 34388672 45135132 46591104 51583008 60180176 68777344 90270264 103166016 120360352 180540528 206332032 240720704 361081056 481441408 722162112 1444324224