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42543354400 = 2552531003381
BaseRepresentation
bin100111100111110010…
…000001001000100000
311001210220211022211121
4213213302001020200
51144112044320100
631313311422024
73034156355131
oct474762011040
9131726738747
1042543354400
1117051683928
1282b3824914
13401cc812b1
1420b82a5c88
15118ee2851a
hex9e7c81220

42543354400 has 72 divisors (see below), whose sum is σ = 105818672484. Its totient is φ = 16696243200.

The previous prime is 42543354397. The next prime is 42543354407. The reversal of 42543354400 is 445334524.

It can be written as a sum of positive squares in 6 ways, for example, as 25391785104 + 17151569296 = 159348^2 + 130964^2 .

It is not an unprimeable number, because it can be changed into a prime (42543354407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459291 + ... + 544090.

Almost surely, 242543354400 is an apocalyptic number.

42543354400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42543354400 is an abundant number, since it is smaller than the sum of its proper divisors (63275318084).

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

42543354400 is a wasteful number, since it uses less digits than its factorization.

42543354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003454 (or 1003441 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 42543354400 its reverse (445334524), we get a palindrome (42988688924).

The spelling of 42543354400 in words is "forty-two billion, five hundred forty-three million, three hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 400 424 530 800 848 1060 1325 1696 2120 2650 4240 5300 8480 10600 21200 42400 1003381 2006762 4013524 5016905 8027048 10033810 16054096 20067620 25084525 32108192 40135240 50169050 53179193 80270480 100338100 106358386 160540960 200676200 212716772 265895965 401352400 425433544 531791930 802704800 850867088 1063583860 1329479825 1701734176 2127167720 2658959650 4254335440 5317919300 8508670880 10635838600 21271677200 42543354400