Search a number
-
+
44738222283744 = 2531142365740799
BaseRepresentation
bin10100010110000011011011…
…10110001101101111100000
312212101221011122002022020020
422023001231312031233200
521330442334401034434
6235052242223513440
712265141565660013
oct1213015566155740
9185357148068206
1044738222283744
1113289412179890
125026698158880
131bc6a474c5372
14b094ad17537a
15528b25660849
hex28b06dd8dbe0

44738222283744 has 48 divisors (see below), whose sum is σ = 128114000179200. Its totient is φ = 13557037055360.

The previous prime is 44738222283737. The next prime is 44738222283791.

44738222283744 is nontrivially palindromic in base 10.

44738222283744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 21182869344 + ... + 21182871455.

It is an arithmetic number, because the mean of its divisors is an integer number (2669041670400).

Almost surely, 244738222283744 is an apocalyptic number.

44738222283744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44738222283744 is an abundant number, since it is smaller than the sum of its proper divisors (83375777895456).

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

44738222283744 is a wasteful number, since it uses less digits than its factorization.

44738222283744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42365740823 (or 42365740815 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 60.

The spelling of 44738222283744 in words is "forty-four trillion, seven hundred thirty-eight billion, two hundred twenty-two million, two hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 42365740799 84731481598 127097222397 169462963196 254194444794 338925926392 466023148789 508388889588 677851852784 932046297578 1016777779176 1355703705568 1398069446367 1864092595156 2033555558352 2796138892734 3728185190312 4067111116704 5592277785468 7456370380624 11184555570936 14912740761248 22369111141872 44738222283744