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41314400441314 = 271113135511152287
BaseRepresentation
bin10010110010011010000100…
…01010011001001111100010
312102021121200121020200022221
421121031002022121033202
520403343343003110224
6223511323515221254
711462603233334140
oct1131150212311742
9172247617220287
1041314400441314
111218937aa91a30
12477301114782a
131a08c14c381a0
14a2b8b03b8590
154b9a37ec46e4
hex2593422993e2

41314400441314 has 64 divisors (see below), whose sum is σ = 83207785070592. Its totient is φ = 14858118619200.

The previous prime is 41314400441287. The next prime is 41314400441323.

41314400441314 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 41314400441314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271216879 + ... + 271369165.

It is an arithmetic number, because the mean of its divisors is an integer number (1300121641728).

Almost surely, 241314400441314 is an apocalyptic number.

41314400441314 is an abundant number, since it is smaller than the sum of its proper divisors (41893384629278).

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

41314400441314 is a wasteful number, since it uses less digits than its factorization.

41314400441314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287831.

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

It can be divided in two parts, 41314400 and 441314, that added together give a palindrome (41755714).

The spelling of 41314400441314 in words is "forty-one trillion, three hundred fourteen billion, four hundred million, four hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 135511 152287 271022 304574 948577 1066009 1490621 1675157 1761643 1897154 1979731 2132018 2981242 3350314 3523286 3959462 10434347 11726099 12331501 13858117 19378073 20868694 21777041 23452198 24663002 27716234 38756146 43554082 135646511 152439287 271293022 304878574 20636563657 41273127314 144455945599 227002200227 268275327541 288911891198 454004400454 536550655082 1589015401589 1877927292787 2951028602951 3178030803178 3755854585574 5902057205902 20657200220657 41314400441314