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42443834424 = 2338975126459
BaseRepresentation
bin100111100001110110…
…011000010000111000
311001112222120012002120
4213201312120100320
51143411110200144
631255354401240
73031540432335
oct474166302070
9131488505076
1042443834424
1117000490012
128286430220
134005478134
1420a8d9b98c
15118631ae19
hex9e1d98438

42443834424 has 64 divisors (see below), whose sum is σ = 107448768000. Its totient is φ = 13969824000.

The previous prime is 42443834423. The next prime is 42443834443.

42443834424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424438344242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42443834423) 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, 1590907 + ... + 1617365.

It is an arithmetic number, because the mean of its divisors is an integer number (1678887000).

Almost surely, 242443834424 is an apocalyptic number.

It is an amenable number.

42443834424 is an abundant number, since it is smaller than the sum of its proper divisors (65004933576).

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

42443834424 is a wasteful number, since it uses less digits than its factorization.

42443834424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27308 (or 27304 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 42443834424 in words is "forty-two billion, four hundred forty-three million, eight hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 751 1068 1502 2136 2253 3004 4506 6008 9012 18024 26459 52918 66839 79377 105836 133678 158754 200517 211672 267356 317508 401034 534712 635016 802068 1604136 2354851 4709702 7064553 9419404 14129106 18838808 19870709 28258212 39741418 56516424 59612127 79482836 119224254 158965672 238448508 476897016 1768493101 3536986202 5305479303 7073972404 10610958606 14147944808 21221917212 42443834424