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434204115009426 = 23434493547219091
BaseRepresentation
bin110001010111010000000011…
…0000010001111111110010010
32002221101111201100001101210000
41202232200012002033332102
5423403000011420300201
64135250341113150430
7160313132513313006
oct14256400602177622
92087344640041700
10434204115009426
11116394a27276a53
12408477bb6bb416
13158383704937c8
14793183c746706
15352e9a3728d86
hex18ae80608ff92

434204115009426 has 80 divisors (see below), whose sum is σ = 973499765277600. Its totient is φ = 144651287522880.

The previous prime is 434204115009407. The next prime is 434204115009461. The reversal of 434204115009426 is 624900511402434.

434204115009426 is a `hidden beast` number, since 4 + 3 + 4 + 20 + 4 + 11 + 500 + 94 + 26 = 666.

It is a super-2 number, since 2×4342041150094262 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1981734141 + ... + 1981953231.

It is an arithmetic number, because the mean of its divisors is an integer number (12168747065970).

Almost surely, 2434204115009426 is an apocalyptic number.

434204115009426 is an abundant number, since it is smaller than the sum of its proper divisors (539295650268174).

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

434204115009426 is a wasteful number, since it uses less digits than its factorization.

434204115009426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226101 (or 226092 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 434204115009426 in words is "four hundred thirty-four trillion, two hundred four billion, one hundred fifteen million, nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 3449 3547 6898 7094 10347 10641 20694 21282 31041 31923 62082 63846 93123 95769 186246 191538 219091 279369 287307 438182 558738 574614 657273 1314546 1971819 3943638 5915457 11830914 12233603 17746371 24467206 35492742 36700809 73401618 110102427 220204854 330307281 660614562 755644859 777115777 990921843 1511289718 1554231554 1981843686 2266934577 2331347331 4533869154 4662694662 6800803731 6994041993 13601607462 13988083986 20402411193 20982125979 40804822386 41964251958 61207233579 62946377937 122414467158 125892755874 2680272314873 5360544629746 8040816944619 16081633889238 24122450833857 48244901667714 72367352501571 144734705003142 217102057504713 434204115009426