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42443022400 = 2652231153343
BaseRepresentation
bin100111100001110011…
…010010000001000000
311001112221000221012121
4213201303102001000
51143410403204100
631255325134024
73031530511042
oct474163220100
9131487027177
1042443022400
1116aaaa85a19
1282860ba314
13400525264c
1420a8c29a92
15118620a51a
hex9e1cd2040

42443022400 has 84 divisors (see below), whose sum is σ = 108977167872. Its totient is φ = 16239055360.

The previous prime is 42443022367. The next prime is 42443022431. The reversal of 42443022400 is 422034424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539872 + ... + 613471.

Almost surely, 242443022400 is an apocalyptic number.

42443022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42443022400 is an abundant number, since it is smaller than the sum of its proper divisors (66534145472).

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

42443022400 is a wasteful number, since it uses less digits than its factorization.

42443022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153388 (or 1153373 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 42443022400 its reverse (422034424), we get a palindrome (42865056824).

The spelling of 42443022400 in words is "forty-two billion, four hundred forty-three million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 160 184 200 230 320 368 400 460 575 736 800 920 1150 1472 1600 1840 2300 3680 4600 7360 9200 18400 36800 1153343 2306686 4613372 5766715 9226744 11533430 18453488 23066860 26526889 28833575 36906976 46133720 53053778 57667150 73813952 92267440 106107556 115334300 132634445 184534880 212215112 230668600 265268890 369069760 424430224 461337200 530537780 663172225 848860448 922674400 1061075560 1326344450 1697720896 1845348800 2122151120 2652688900 4244302240 5305377800 8488604480 10610755600 21221511200 42443022400