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1444055424 = 27374113103
BaseRepresentation
bin101011000010010…
…1000100110000000
310201122020121122020
41112010220212000
510424134233144
6355143041440
750533161060
oct12604504600
93648217566
101444055424
1168114a239
12343740280
131a0235186
14d9add3a0
1586b98419
hex56128980

1444055424 has 128 divisors (see below), whose sum is σ = 4491002880. Its totient is φ = 402493440.

The previous prime is 1444055419. The next prime is 1444055449. The reversal of 1444055424 is 4245504441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103657 + ... + 116759.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 21444055424 is an apocalyptic number.

1444055424 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 1444055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1444055424 is an abundant number, since it is smaller than the sum of its proper divisors (3046947456).

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

1444055424 is a wasteful number, since it uses less digits than its factorization.

1444055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13168 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The square root of 1444055424 is about 38000.7292561603. The cubic root of 1444055424 is about 1130.3023244123.

Adding to 1444055424 its reverse (4245504441), we get a palindrome (5689559865).

The spelling of 1444055424 in words is "one billion, four hundred forty-four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 5248 6888 7872 9184 13103 13776 15744 18368 26206 27552 36736 39309 52412 55104 78618 91721 104824 110208 157236 183442 209648 275163 314472 366884 419296 537223 550326 628944 733768 838592 1074446 1100652 1257888 1467536 1611669 1677184 2148892 2201304 2515776 2935072 3223338 3760561 4297784 4402608 5031552 5870144 6446676 7521122 8595568 8805216 11281683 11740288 12893352 15042244 17191136 17610432 22563366 25786704 30084488 34382272 35220864 45126732 51573408 60168976 68764544 90253464 103146816 120337952 180506928 206293632 240675904 361013856 481351808 722027712 1444055424