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434205623164214 = 2111671123105238957
BaseRepresentation
bin110001010111010000101111…
…1111011011001110100110110
32002221101122121102220121012202
41202232201133323121310312
5423403011104012223324
64135251150510144502
7160313215055363516
oct14256413773316466
92087348542817182
10434205623164214
11116395630616a70
1240847b607b2132
1315838550a7c7a5
147931942b6d846
15352ea40d348ae
hex18ae85fed9d36

434205623164214 has 32 divisors (see below), whose sum is σ = 715409385014016. Its totient is φ = 196009660329120.

The previous prime is 434205623164213. The next prime is 434205623164219. The reversal of 434205623164214 is 412461326502434.

It is a happy number.

It is a super-3 number, since 3×4342056231642143 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434205623164211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48493577 + ... + 56745380.

It is an arithmetic number, because the mean of its divisors is an integer number (22356543281688).

Almost surely, 2434205623164214 is an apocalyptic number.

434205623164214 is a deficient number, since it is larger than the sum of its proper divisors (281203761849802).

434205623164214 is a wasteful number, since it uses less digits than its factorization.

434205623164214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105240260.

The product of its (nonzero) digits is 3317760, while the sum is 47.

Adding to 434205623164214 its reverse (412461326502434), we get a palindrome (846666949666648).

The spelling of 434205623164214 in words is "four hundred thirty-four trillion, two hundred five billion, six hundred twenty-three million, one hundred sixty-four thousand, two hundred fourteen".

Divisors: 1 2 11 22 167 334 1123 1837 2246 3674 12353 24706 187541 375082 2062951 4125902 105238957 210477914 1157628527 2315257054 17574905819 35149811638 118183348711 193323964009 236366697422 386647928018 1300016835821 2600033671642 19736619234737 39473238469474 217102811582107 434205623164214