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41144211244114 = 21117730915051479
BaseRepresentation
bin10010101101011101000100…
…00110001000010001010010
312101200100101211020200102221
421112232202012020101102
520343101321034302424
6223301220102131254
711444366624123506
oct1126564206102122
9171610354220387
1041144211244114
1112123186690140
124746035120b2a
1319c5b61a39bc4
14a23567572306
154b53c6c559e4
hex256ba2188452

41144211244114 has 32 divisors (see below), whose sum is σ = 71297054582400. Its totient is φ = 17599392195840.

The previous prime is 41144211244093. The next prime is 41144211244121.

41144211244114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×411442112441142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 41144211244114.

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, 4792174 + ... + 10259305.

It is an arithmetic number, because the mean of its divisors is an integer number (2228032955700).

Almost surely, 241144211244114 is an apocalyptic number.

41144211244114 is a deficient number, since it is larger than the sum of its proper divisors (30152843338286).

41144211244114 is a wasteful number, since it uses less digits than its factorization.

41144211244114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15058818.

The product of its digits is 16384, while the sum is 34.

It can be divided in two parts, 4114421 and 1244114, that added together give a palindrome (5358535).

The spelling of 41144211244114 in words is "forty-one trillion, one hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 11 17 22 34 187 374 7309 14618 80399 124253 160798 248506 1366783 2733566 15051479 30102958 165566269 255875143 331132538 511750286 2814626573 5629253146 110011260011 220022520022 1210123860121 1870191420187 2420247720242 3740382840374 20572105622057 41144211244114