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434414140054024 = 2313892527339861
BaseRepresentation
bin110001011000110001110110…
…0100000001101101000001000
32002222010120211100020010010111
41202301203230200031220020
5423414420124323212044
64135531033442524104
7160334246234611204
oct14261435440155010
92088116740203114
10434414140054024
111164660029a8579
1240880454666634
131585210172b720
14793ba84029b04
153535196d56b34
hex18b18ec80da08

434414140054024 has 48 divisors (see below), whose sum is σ = 887149123241220. Its totient is φ = 198246037608960.

The previous prime is 434414140054019. The next prime is 434414140054087. The reversal of 434414140054024 is 420450041414434.

It can be written as a sum of positive squares in 6 ways, for example, as 89546287152100 + 344867852901924 = 9462890^2 + 18570618^2 .

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, 262846147 + ... + 264493714.

Almost surely, 2434414140054024 is an apocalyptic number.

It is an amenable number.

434414140054024 is an abundant number, since it is smaller than the sum of its proper divisors (452734983187196).

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

434414140054024 is a wasteful number, since it uses less digits than its factorization.

434414140054024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527340058 (or 527339965 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 434414140054024 its reverse (420450041414434), we get a palindrome (854864181468458).

The spelling of 434414140054024 in words is "four hundred thirty-four trillion, four hundred fourteen billion, one hundred forty million, fifty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4628 7921 9256 15842 31684 63368 102973 205946 411892 823784 527339861 1054679722 2109359444 4218718888 6855418193 13710836386 27421672772 46933247629 54843345544 93866495258 187732990516 375465981032 610132219177 1220264438354 2440528876708 4177059038981 4881057753416 8354118077962 16708236155924 33416472311848 54301767506753 108603535013506 217207070027012 434414140054024