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434206923136 = 277484605941
BaseRepresentation
bin1100101000110001011…
…11111101100110000000
31112111202121221002222221
412110120233331212000
524103223433020021
6531245533140424
743241023643620
oct6243057754600
91474677832887
10434206923136
11158167541008
127019b02a714
1331c3a46436c
1417031226880
15b464a1d241
hex6518bfd980

434206923136 has 32 divisors (see below), whose sum is σ = 988596121680. Its totient is φ = 186088680960.

The previous prime is 434206923113. The next prime is 434206923149. The reversal of 434206923136 is 631329602434.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4342069231363 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434206923092 and 434206923101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 242302075 + ... + 242303866.

Almost surely, 2434206923136 is an apocalyptic number.

It is an amenable number.

434206923136 is an abundant number, since it is smaller than the sum of its proper divisors (554389198544).

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

434206923136 is an equidigital number, since it uses as much as digits as its factorization.

434206923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484605962 (or 484605950 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 434206923136 in words is "four hundred thirty-four billion, two hundred six million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 484605941 969211882 1938423764 3392241587 3876847528 6784483174 7753695056 13568966348 15507390112 27137932696 31014780224 54275865392 62029560448 108551730784 217103461568 434206923136