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44063344336044 = 223111723853742237
BaseRepresentation
bin10100000010011010010111…
…11111001001110010101100
312210000102012020011101120210
422001031023333021302230
521233413212122223134
6233414230531142420
712165320515034325
oct1201151377116254
9183012166141523
1044063344336044
111304918316a990
124b37930a44a10
131b78203956a37
14ac496a50944c
155162c6d392e9
hex28134bfc9cac

44063344336044 has 96 divisors (see below), whose sum is σ = 123922393330176. Its totient is φ = 12020690682880.

The previous prime is 44063344336013. The next prime is 44063344336049.

44063344336044 is nontrivially palindromic in base 10.

44063344336044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44063344335984 and 44063344336002.

It is not an unprimeable number, because it can be changed into a prime (44063344336049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 426819507 + ... + 426922730.

It is an arithmetic number, because the mean of its divisors is an integer number (1290858263856).

Almost surely, 244063344336044 is an apocalyptic number.

44063344336044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44063344336044 is an abundant number, since it is smaller than the sum of its proper divisors (79859048994132).

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

44063344336044 is a wasteful number, since it uses less digits than its factorization.

44063344336044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853742295 (or 853742293 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 44063344336044 in words is "forty-four trillion, sixty-three billion, three hundred forty-four million, three hundred thirty-six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 8602 12903 17204 25806 51612 853742237 1707484474 2561226711 3414968948 5122453422 9391164607 10244906844 14513618029 18782329214 19636071451 28173493821 29027236058 37564658428 39272142902 43540854087 56346987642 58054472116 58908214353 78544285804 87081708174 112693975284 117816428706 159649798319 174163416348 215996785961 235632857412 319299596638 333813214667 431993571922 478949394957 638599193276 647990357883 667626429334 863987143844 957898789914 1001439644001 1295980715766 1335252858668 1915797579828 2002879288002 2591961431532 3671945361337 4005758576004 7343890722674 11015836084011 14687781445348 22031672168022 44063344336044