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44304344340344 = 23112971244516007
BaseRepresentation
bin10100001001011011010001…
…01101001101011101111000
312210212110020221012002120222
422010231220231031131320
521301340244122342334
6234121045041435212
712221611645211504
oct1204555055153570
9183773227162528
1044304344340344
1113131404406160
124b7658b33bb08
131b94b6026758a
14ad24ad907304
1551c6ce977d2e
hex284b68b4d778

44304344340344 has 64 divisors (see below), whose sum is σ = 95067823910400. Its totient is φ = 19170054870400.

The previous prime is 44304344340331. The next prime is 44304344340353.

44304344340344 is nontrivially palindromic in base 10.

44304344340344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44304344340295 and 44304344340304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122076812 + ... + 122439195.

It is an arithmetic number, because the mean of its divisors is an integer number (1485434748600).

Almost surely, 244304344340344 is an apocalyptic number.

44304344340344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44304344340344 is an abundant number, since it is smaller than the sum of its proper divisors (50763479570056).

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

44304344340344 is a wasteful number, since it uses less digits than its factorization.

44304344340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244516124 (or 244516120 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

It can be divided in two parts, 4430434 and 4340344, that added together give a palindrome (8770778).

The spelling of 44304344340344 in words is "forty-four trillion, three hundred four billion, three hundred forty-four million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 71 88 116 142 232 284 319 568 638 781 1276 1562 2059 2552 3124 4118 6248 8236 16472 22649 45298 90596 181192 244516007 489032014 978064028 1956128056 2689676077 5379352154 7090964203 10758704308 14181928406 17360636497 21517408616 28363856812 34721272994 56727713624 69442545988 78000606233 138885091976 156001212466 190967001467 312002424932 381934002934 503458458413 624004849864 763868005868 1006916916826 1527736011736 2013833833652 4027667667304 5538043042543 11076086085086 22152172170172 44304344340344