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42533234400 = 2535217722181
BaseRepresentation
bin100111100111001011…
…011010011011100000
311001210012210011210210
4213213023122123200
51144102002000100
631312310454120
73034004345556
oct474713323340
9131705704723
1042533234400
11170469a1598
1282b0364340
13401ab49c27
1420b6bcdbd6
15118e0c9c50
hex9e72da6e0

42533234400 has 72 divisors (see below), whose sum is σ = 138445685784. Its totient is φ = 11342195200.

The previous prime is 42533234383. The next prime is 42533234407. The reversal of 42533234400 is 443233524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533234407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8858691 + ... + 8863490.

It is an arithmetic number, because the mean of its divisors is an integer number (1922856747).

Almost surely, 242533234400 is an apocalyptic number.

42533234400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42533234400 is an abundant number, since it is smaller than the sum of its proper divisors (95912451384).

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

42533234400 is a wasteful number, since it uses less digits than its factorization.

42533234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17722204 (or 17722191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 42533234400 its reverse (443233524), we get a palindrome (42976467924).

The spelling of 42533234400 in words is "forty-two billion, five hundred thirty-three million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 17722181 35444362 53166543 70888724 88610905 106333086 141777448 177221810 212666172 265832715 283554896 354443620 425332344 443054525 531665430 567109792 708887240 850664688 886109050 1063330860 1329163575 1417774480 1701329376 1772218100 2126661720 2658327150 2835548960 3544436200 4253323440 5316654300 7088872400 8506646880 10633308600 14177744800 21266617200 42533234400