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44121431304 = 23321757762473
BaseRepresentation
bin101001000101110101…
…111001110100001000
311012212220020221101100
4221011311321310020
51210330041300204
632134043221400
73121240656336
oct510565716410
9135786227340
1044121431304
1117791441415
128674217860
134211bac502
1421c7ad0b56
151233746a39
hexa45d79d08

44121431304 has 96 divisors (see below), whose sum is σ = 126746001720. Its totient is φ = 13817806848.

The previous prime is 44121431303. The next prime is 44121431309. The reversal of 44121431304 is 40313412144.

44121431304 is a `hidden beast` number, since 441 + 214 + 3 + 1 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43514794404 + 606636900 = 208602^2 + 24630^2 .

It is a super-2 number, since 2×441214313042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44121431303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675012 + ... + 737484.

Almost surely, 244121431304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44121431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63373000860).

44121431304 is an abundant number, since it is smaller than the sum of its proper divisors (82624570416).

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

44121431304 is a wasteful number, since it uses less digits than its factorization.

44121431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63079 (or 63072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 44121431304 its reverse (40313412144), we get a palindrome (84434843448).

The spelling of 44121431304 in words is "forty-four billion, one hundred twenty-one million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 577 612 1154 1224 1731 2308 3462 4616 5193 6924 9809 10386 13848 19618 20772 29427 39236 41544 58854 62473 78472 88281 117708 124946 176562 187419 235416 249892 353124 374838 499784 562257 706248 749676 1062041 1124514 1499352 2124082 2249028 3186123 4248164 4498056 6372246 8496328 9558369 12744492 19116738 25488984 36046921 38233476 72093842 76466952 108140763 144187684 216281526 288375368 324422289 432563052 612797657 648844578 865126104 1225595314 1297689156 1838392971 2451190628 2595378312 3676785942 4902381256 5515178913 7353571884 11030357826 14707143768 22060715652 44121431304