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41141001031143 = 31373127363131337
BaseRepresentation
bin10010101101010111000101…
…10000001000110111100111
312101200001010002122222010020
421112223202300020313213
520343023232230444033
6223255525344130223
711444224233556146
oct1126534260106747
9171601102588106
1041141001031143
11121218895a1672
12474549a006973
1319c576c9338c0
14a2334108975d
154b5289edb6b3
hex256ae2c08de7

41141001031143 has 64 divisors (see below), whose sum is σ = 60373566554112. Its totient is φ = 24766490327040.

The previous prime is 41141001031061. The next prime is 41141001031147. The reversal of 41141001031143 is 34113010014114.

41141001031143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41141001031143 - 28 = 41141001030887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141001031147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1312841371 + ... + 1312872707.

It is an arithmetic number, because the mean of its divisors is an integer number (943336977408).

Almost surely, 241141001031143 is an apocalyptic number.

41141001031143 is a deficient number, since it is larger than the sum of its proper divisors (19232565522969).

41141001031143 is a wasteful number, since it uses less digits than its factorization.

41141001031143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35184.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 41141001031143 its reverse (34113010014114), we get a palindrome (75254011045257).

The spelling of 41141001031143 in words is "forty-one trillion, one hundred forty-one billion, one million, thirty-one thousand, one hundred forty-three".

Divisors: 1 3 13 39 73 127 219 381 949 1651 2847 3631 4953 9271 10893 27813 31337 47203 94011 120523 141609 265063 361569 407381 461137 795189 1222143 1383411 2287601 3445819 3979799 5994781 6862803 10337457 11939397 17984343 29738813 33663001 51737387 89216439 100989003 113784647 155212161 290525327 341353941 437619013 871575981 1312857039 1479200411 3776829251 4437601233 8306279231 11330487753 14450650169 24918837693 43351950507 107981630003 187858452197 323944890009 563575356591 1054897462337 3164692387011 13713667010381 41141001031143