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44341433414344 = 231110930559151273
BaseRepresentation
bin10100001010100000010110…
…11000110011001011001000
312210222222222201211021022101
422011100023120303023020
521302442223423224334
6234150101233203144
712224364025144543
oct1205201330631310
9183888881737271
1044341433414344
1113146107202430
124b818004004b4
131b984c1221c01
14ad41cb65785a
1551d650b13214
hex28540b6332c8

44341433414344 has 64 divisors (see below), whose sum is σ = 91534082112000. Its totient is φ = 19969501432320.

The previous prime is 44341433414323. The next prime is 44341433414357.

44341433414344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44341433414294 and 44341433414303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293046292 + ... + 293197564.

It is an arithmetic number, because the mean of its divisors is an integer number (1430220033000).

Almost surely, 244341433414344 is an apocalyptic number.

44341433414344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44341433414344 is an abundant number, since it is smaller than the sum of its proper divisors (47192648697656).

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

44341433414344 is a wasteful number, since it uses less digits than its factorization.

44341433414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181958 (or 181954 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 4434143 and 3414344, that added together give a palindrome (7848487).

The spelling of 44341433414344 in words is "forty-four trillion, three hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1199 2398 4796 9592 30559 61118 122236 151273 244472 302546 336149 605092 672298 1210184 1344596 1664003 2689192 3328006 3330931 6656012 6661862 13312024 13323724 16488757 26647448 32977514 36640241 65955028 73280482 131910056 146560964 181376327 293121928 362752654 725505308 1451010616 4622751607 9245503214 18491006428 36982012856 50850267677 101700535354 203401070708 406802141416 503879925163 1007759850326 2015519700652 4031039401304 5542679176793 11085358353586 22170716707172 44341433414344