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421434434124 = 2232111064228369
BaseRepresentation
bin1100010000111110111…
…00110010001001001100
31111021210111020102221100
412020133130302021030
523401044203342444
6521334310303100
742306352404414
oct6103734621114
91437714212840
10421434434124
11152802829a70
1269815657a90
133098325ca62
141657cba1644
15ae6855be69
hex621f73224c

421434434124 has 36 divisors (see below), whose sum is σ = 1162137380040. Its totient is φ = 127707404160.

The previous prime is 421434434087. The next prime is 421434434137.

421434434124 is a `hidden beast` number, since 4 + 214 + 3 + 4 + 434 + 1 + 2 + 4 = 666.

421434434124 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532113789 + ... + 532114580.

It is an arithmetic number, because the mean of its divisors is an integer number (32281593890).

Almost surely, 2421434434124 is an apocalyptic number.

421434434124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421434434124 is an abundant number, since it is smaller than the sum of its proper divisors (740702945916).

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

421434434124 is a wasteful number, since it uses less digits than its factorization.

421434434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064228390 (or 1064228385 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 421434 and 434124, that added together give a palindrome (855558).

The spelling of 421434434124 in words is "four hundred twenty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1064228369 2128456738 3192685107 4256913476 6385370214 9578055321 11706512059 12770740428 19156110642 23413024118 35119536177 38312221284 46826048236 70239072354 105358608531 140478144708 210717217062 421434434124