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42440444420404 = 221710143314271241
BaseRepresentation
bin10011010011001011011111…
…00111010010000100110100
312120021021012112122122221211
421221211233213102010310
521030321012232423104
6230132512045451204
711640135530253652
oct1151455747220464
9176237175578854
1042440444420404
1112582989500988
1249152aab70b04
131a8b169614874
14a6a1b2743dd2
154d8e90114e04
hex26996f9d2134

42440444420404 has 48 divisors (see below), whose sum is σ = 79601676947856. Its totient is φ = 19728562176000.

The previous prime is 42440444420359. The next prime is 42440444420449. The reversal of 42440444420404 is 40402444404424.

42440444420404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42440444420359) and next prime (42440444420449).

It can be written as a sum of positive squares in 8 ways, for example, as 299703692304 + 42140740728100 = 547452^2 + 6491590^2 .

It is a congruent number.

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, 4161777 + ... + 10109464.

It is an arithmetic number, because the mean of its divisors is an integer number (1658368269747).

Almost surely, 242440444420404 is an apocalyptic number.

It is an amenable number.

42440444420404 is a deficient number, since it is larger than the sum of its proper divisors (37161232527452).

42440444420404 is a wasteful number, since it uses less digits than its factorization.

42440444420404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271796 (or 14271794 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 42440444420404 its reverse (40402444404424), we get a palindrome (82842888824828).

The spelling of 42440444420404 in words is "forty-two trillion, four hundred forty billion, four hundred forty-four million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 4 17 34 68 101 202 404 433 866 1717 1732 3434 6868 7361 14722 29444 43733 87466 174932 743461 1486922 2973844 14271241 28542482 57084964 242611097 485222194 970444388 1441395341 2882790682 5765581364 6179447353 12358894706 24503720797 24717789412 49007441594 98014883188 105050605001 210101210002 420202420004 624124182653 1248248365306 2496496730612 10610111105101 21220222210202 42440444420404