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421204000400 = 24521955421579
BaseRepresentation
bin1100010000100011011…
…01101111111010010000
31111021012102122012021222
412020101231233322100
523400111211003100
6521255355304212
742300553634111
oct6102155577220
91437172565258
10421204000400
111526a474a777
126977044b068
13309475ab241
141655a33a208
15ae531e0485
hex6211b6fe90

421204000400 has 60 divisors (see below), whose sum is σ = 1065202767600. Its totient is φ = 159614144640.

The previous prime is 421204000369. The next prime is 421204000429. The reversal of 421204000400 is 4000402124.

It is an unprimeable number.

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, 27703190 + ... + 27718389.

It is an arithmetic number, because the mean of its divisors is an integer number (17753379460).

Almost surely, 2421204000400 is an apocalyptic number.

421204000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421204000400 is an abundant number, since it is smaller than the sum of its proper divisors (643998767200).

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

421204000400 is a wasteful number, since it uses less digits than its factorization.

421204000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55421616 (or 55421605 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 421204000400 its reverse (4000402124), we get a palindrome (425204402524).

The spelling of 421204000400 in words is "four hundred twenty-one billion, two hundred four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 55421579 110843158 221686316 277107895 443372632 554215790 886745264 1053010001 1108431580 1385539475 2106020002 2216863160 2771078950 4212040004 4433726320 5265050005 5542157900 8424080008 10530100010 11084315800 16848160016 21060200020 22168631600 26325250025 42120400040 52650500050 84240800080 105301000100 210602000200 421204000400