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42021314104 = 23711371843687
BaseRepresentation
bin100111001000101010…
…100101111000111000
311000110112111221011211
4213020222211320320
51142024424022404
631145422332504
73015220163560
oct471052457070
9130415457154
1042021314104
1116903a33270
128188a2a134
133c68a80203
142068c13da0
15115e1a9b04
hex9c8aa5e38

42021314104 has 64 divisors (see below), whose sum is σ = 100886607360. Its totient is φ = 15929447040.

The previous prime is 42021314077. The next prime is 42021314113. The reversal of 42021314104 is 40141312024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899052 + ... + 944635.

It is an arithmetic number, because the mean of its divisors is an integer number (1576353240).

Almost surely, 242021314104 is an apocalyptic number.

42021314104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42021314104 is an abundant number, since it is smaller than the sum of its proper divisors (58865293256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42021314104 is a wasteful number, since it uses less digits than its factorization.

42021314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843748 (or 1843744 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42021314104 its reverse (40141312024), we get a palindrome (82162626128).

The spelling of 42021314104 in words is "forty-two billion, twenty-one million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 22792 1843687 3687374 7374748 12905809 14749496 20280557 25811618 40561114 51623236 68216419 81122228 103246472 136432838 141963899 162244456 272865676 283927798 477514933 545731352 567855596 750380609 955029866 1135711192 1500761218 1910059732 3001522436 3820119464 5252664263 6003044872 10505328526 21010657052 42021314104