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434223424404 = 2233711254320533
BaseRepresentation
bin1100101000110011011…
…10111010001110010100
31112111210202222110111000
412110121232322032110
524103242144040104
6531251322543300
743241314131360
oct6243156721624
91474722873430
10434223424404
11158175891720
12701a4667b30
1331c409c1123
14170334c02a0
15b4661cc639
hex6519bba394

434223424404 has 192 divisors, whose sum is σ = 1404170772480. Its totient is φ = 112735463040.

The previous prime is 434223424333. The next prime is 434223424421. The reversal of 434223424404 is 404424322434.

434223424404 is a `hidden beast` number, since 4 + 3 + 4 + 223 + 4 + 24 + 404 = 666.

It is a super-2 number, since 2×4342234244042 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21137322 + ... + 21157854.

It is an arithmetic number, because the mean of its divisors is an integer number (7313389440).

Almost surely, 2434223424404 is an apocalyptic number.

434223424404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434223424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702085386240).

434223424404 is an abundant number, since it is smaller than the sum of its proper divisors (969947348076).

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

434223424404 is a wasteful number, since it uses less digits than its factorization.

434223424404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23099 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 434223424404 its reverse (404424322434), we get a palindrome (838647746838).

The spelling of 434223424404 in words is "four hundred thirty-four billion, two hundred twenty-three million, four hundred twenty-four thousand, four hundred four".