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41141011014114 = 23111016171768829
BaseRepresentation
bin10010101101010111000110…
…10110001110000111100010
312101200001010210110011011220
421112223203112032013202
520343023242304422424
6223255530342115510
711444224414455054
oct1126534326160742
9171601123404156
1041141011014114
111212189419aa60
1247454a141bb96
1319c5771a1a79b
14a233425278d4
154b528ad0e579
hex256ae358e1e2

41141011014114 has 32 divisors (see below), whose sum is σ = 90650940575040. Its totient is φ = 12343537656000.

The previous prime is 41141011014067. The next prime is 41141011014167.

41141011014114 is nontrivially palindromic in base 10.

41141011014114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3085877749 + ... + 3085891080.

It is an arithmetic number, because the mean of its divisors is an integer number (2832841892970).

Almost surely, 241141011014114 is an apocalyptic number.

41141011014114 is an abundant number, since it is smaller than the sum of its proper divisors (49509929560926).

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

41141011014114 is a wasteful number, since it uses less digits than its factorization.

41141011014114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171768946.

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 4114101 and 1014114, that added together give a palindrome (5128215).

The spelling of 41141011014114 in words is "forty-one trillion, one hundred forty-one billion, eleven million, fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 6171768829 12343537658 18515306487 37030612974 67889457119 135778914238 203668371357 407336742714 623348651729 1246697303458 1870045955187 3740091910374 6856835169019 13713670338038 20570505507057 41141011014114