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42114433441124 = 22113199013118441
BaseRepresentation
bin10011001001101100001111…
…10110000101110101100100
312112010002201021110222112202
421210312013312011311210
521010000324430103444
6225323034215034032
711604444630540422
oct1144660766056544
9175102637428482
1042114433441124
11124676a38359a0
12488208666b918
131a664b299a075
14a584c6c90112
154d075e13434e
hex264d87d85d64

42114433441124 has 48 divisors (see below), whose sum is σ = 83002248494592. Its totient is φ = 18523533600000.

The previous prime is 42114433441079. The next prime is 42114433441133.

42114433441124 is nontrivially palindromic in base 10.

42114433441124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11945744 + ... + 15064184.

It is an arithmetic number, because the mean of its divisors is an integer number (1729213510304).

Almost surely, 242114433441124 is an apocalyptic number.

42114433441124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42114433441124 is a deficient number, since it is larger than the sum of its proper divisors (40887815053468).

42114433441124 is a wasteful number, since it uses less digits than its factorization.

42114433441124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128388 (or 3128386 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 4211443 and 3441124, that added together give a palindrome (7652567).

The spelling of 42114433441124 in words is "forty-two trillion, one hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 9901 19802 39604 108911 217822 306931 435644 613862 1227724 3118441 3376241 6236882 6752482 12473764 13504964 34302851 68605702 96671671 137211404 193343342 386686684 1063388381 2126776762 4253553524 30875684341 61751368682 123502737364 339632527751 679265055502 957146214571 1358530111004 1914292429142 3828584858284 10528608360281 21057216720562 42114433441124