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434303431423312 = 241115718186836511
BaseRepresentation
bin110001010111111110010010…
…1110000010011010101010000
32002221202000001212101222011111
41202233330211300103111100
5423411111411421021222
64135404124140423104
7160323246620022043
oct14257744560232520
92087660055358144
10434303431423312
11116423061853750
1240862ab8547a94
131584483a48cc09
147936580aa2c5a
153532367934777
hex18aff25c13550

434303431423312 has 80 divisors (see below), whose sum is σ = 928910314934784. Its totient is φ = 195069536064000.

The previous prime is 434303431423223. The next prime is 434303431423327. The reversal of 434303431423312 is 213324134303434.

It is a super-2 number, since 2×4343034314233122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38416864 + ... + 48419647.

Almost surely, 2434303431423312 is an apocalyptic number.

It is an amenable number.

434303431423312 is an abundant number, since it is smaller than the sum of its proper divisors (494606883511472).

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

434303431423312 is a wasteful number, since it uses less digits than its factorization.

434303431423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86836868 (or 86836862 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 434303431423312 its reverse (213324134303434), we get a palindrome (647627565726746).

The spelling of 434303431423312 in words is "four hundred thirty-four trillion, three hundred three billion, four hundred thirty-one million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 157 176 181 314 362 628 724 1256 1448 1727 1991 2512 2896 3454 3982 6908 7964 13816 15928 27632 28417 31856 56834 113668 227336 312587 454672 625174 1250348 2500696 5001392 86836511 173673022 347346044 694692088 955201621 1389384176 1910403242 3820806484 7641612968 13633332227 15283225936 15717408491 27266664454 31434816982 54533328908 62869633964 109066657816 125739267928 149966654497 172891493401 218133315632 251478535856 299933308994 345782986802 599866617988 691565973604 1199733235976 1383131947208 2399466471952 2467633133087 2766263894416 4935266266174 9870532532348 19741065064696 27143964463957 39482130129392 54287928927914 108575857855828 217151715711656 434303431423312