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42230905400 = 2352521405287
BaseRepresentation
bin100111010101001010…
…000111101000111000
311001000010220021101102
4213111022013220320
51142442102433100
631222310510532
73023343526115
oct472512075070
9131003807342
1042230905400
1116a01277312
128227065448
133ca0315028
1420889b190c
1511727aacd5
hex9d5287a38

42230905400 has 48 divisors (see below), whose sum is σ = 98375556240. Its totient is φ = 16859897600.

The previous prime is 42230905361. The next prime is 42230905433. The reversal of 42230905400 is 450903224.

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 11 ways as a sum of consecutive naturals, for example, 98444 + ... + 306843.

It is an arithmetic number, because the mean of its divisors is an integer number (2049490755).

Almost surely, 242230905400 is an apocalyptic number.

42230905400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42230905400 is an abundant number, since it is smaller than the sum of its proper divisors (56144650840).

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

42230905400 is a wasteful number, since it uses less digits than its factorization.

42230905400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405824 (or 405815 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 42230905400 in words is "forty-two billion, two hundred thirty million, nine hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2084 2605 4168 5210 10420 13025 20840 26050 52100 104200 405287 810574 1621148 2026435 3242296 4052870 8105740 10132175 16211480 20264350 40528700 81057400 211154527 422309054 844618108 1055772635 1689236216 2111545270 4223090540 5278863175 8446181080 10557726350 21115452700 42230905400