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44024011042044 = 223111492238357283
BaseRepresentation
bin10100000001010001000111…
…00010100010110011111100
312202212122200000122000210010
422000220203202202303330
521232242133311321134
6233344203530143220
712162426014406645
oct1200504342426374
9182778600560703
1044024011042044
1113033529590a40
124b30194281b10
131b745a5a57487
14ac2ab86ca6cc
15515273b49ce9
hex280a238a2cfc

44024011042044 has 48 divisors (see below), whose sum is σ = 112813207113600. Its totient is φ = 13251075109440.

The previous prime is 44024011042013. The next prime is 44024011042073.

44024011042044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×440240110420442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119158974 + ... + 1119198309.

It is an arithmetic number, because the mean of its divisors is an integer number (2350275148200).

Almost surely, 244024011042044 is an apocalyptic number.

44024011042044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44024011042044 is an abundant number, since it is smaller than the sum of its proper divisors (68789196071556).

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

44024011042044 is a wasteful number, since it uses less digits than its factorization.

44024011042044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238357450 (or 2238357448 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4402401 and 1042044, that added together give a palindrome (5444445).

The spelling of 44024011042044 in words is "forty-four trillion, twenty-four billion, eleven million, forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 19668 2238357283 4476714566 6715071849 8953429132 13430143698 24621930113 26860287396 49243860226 73865790339 98487720452 147731580678 295463161356 333515235167 667030470334 1000545705501 1334060940668 2001091411002 3668667586837 4002182822004 7337335173674 11006002760511 14674670347348 22012005521022 44024011042044