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41444350431 = 3111936507199
BaseRepresentation
bin100110100110010001…
…101001100111011111
310221222022212010210220
4212212101221213133
51134334223203211
631012252132423
72665013111001
oct464621514737
9127868763726
1041444350431
1116638289990
128047767113
133ba638baa3
142012346371
1511286dc806
hex9a64699df

41444350431 has 16 divisors (see below), whose sum is σ = 60595046400. Its totient is φ = 24987640320.

The previous prime is 41444350427. The next prime is 41444350469. The reversal of 41444350431 is 13405344414.

It is not a de Polignac number, because 41444350431 - 22 = 41444350427 is a prime.

It is a super-3 number, since 3×414443504313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 41444350392 and 41444350401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41444350411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247231 + ... + 3259968.

It is an arithmetic number, because the mean of its divisors is an integer number (3787190400).

Almost surely, 241444350431 is an apocalyptic number.

41444350431 is a deficient number, since it is larger than the sum of its proper divisors (19150695969).

41444350431 is a wasteful number, since it uses less digits than its factorization.

41444350431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507406.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 41444350431 its reverse (13405344414), we get a palindrome (54849694845).

The spelling of 41444350431 in words is "forty-one billion, four hundred forty-four million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 193 579 2123 6369 6507199 19521597 71579189 214737567 1255889407 3767668221 13814783477 41444350431