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421004400124 = 227117271880189
BaseRepresentation
bin1100010000001011101…
…00010101010111111100
31111020200112001110012011
412020011310111113330
523344204111300444
6521223505221004
742262611233110
oct6100564252774
91436615043164
10421004400124
11152602010070
1269715631764
1330915133b79
141653ba1d740
15ae40914734
hex6205d155fc

421004400124 has 48 divisors (see below), whose sum is σ = 919819031040. Its totient is φ = 163801978560.

The previous prime is 421004400077. The next prime is 421004400209.

421004400124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 421004400095 and 421004400104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 716179 + ... + 1164010.

It is an arithmetic number, because the mean of its divisors is an integer number (19162896480).

Almost surely, 2421004400124 is an apocalyptic number.

421004400124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421004400124 is an abundant number, since it is smaller than the sum of its proper divisors (498814630916).

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

421004400124 is a wasteful number, since it uses less digits than its factorization.

421004400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880938 (or 1880936 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 421004 and 400124, that added together give a palindrome (821128).

The spelling of 421004400124 in words is "four hundred twenty-one billion, four million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 727 1454 2908 5089 7997 10178 15994 20356 31988 55979 111958 223916 1880189 3760378 7520756 13161323 20682079 26322646 41364158 52645292 82728316 144774553 289549106 579098212 1366897403 2733794806 5467589612 9568281821 15035871433 19136563642 30071742866 38273127284 60143485732 105251100031 210502200062 421004400124