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41144300344114 = 21121088631561759
BaseRepresentation
bin10010101101011101001110…
…11010000001001100110010
312101200100122000220102122221
421112232213122001030302
520343102011342002424
6223301233003551254
711444402055350332
oct1126564732011462
9171610560812587
1041144300344114
1112123221a07300
12474605ab2b52a
1319c5b773352b6
14a235753270c2
154b53ce9a59e4
hex256ba7681332

41144300344114 has 24 divisors (see below), whose sum is σ = 67837756815360. Its totient is φ = 18701770933560.

The previous prime is 41144300344013. The next prime is 41144300344171.

41144300344114 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 41144300344114.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25563967 + ... + 27125725.

It is an arithmetic number, because the mean of its divisors is an integer number (2826573200640).

Almost surely, 241144300344114 is an apocalyptic number.

41144300344114 is a deficient number, since it is larger than the sum of its proper divisors (26693456471246).

41144300344114 is a wasteful number, since it uses less digits than its factorization.

41144300344114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670646 (or 1670635 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 41144300 and 344114, that added together give a palindrome (41488414).

The spelling of 41144300344114 in words is "forty-one trillion, one hundred forty-four billion, three hundred million, three hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 11 22 121 242 108863 217726 1197493 1561759 2394986 3123518 13172423 17179349 26344846 34358698 188972839 377945678 170017770017 340035540034 1870195470187 3740390940374 20572150172057 41144300344114