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434134131102 = 232731111078807
BaseRepresentation
bin1100101000101000110…
…10010010000110011110
31112111120112221220002200
412110110122102012132
524103101314143402
6531234413032330
743236151141140
oct6242432220636
91474515856080
10434134131102
1115812a443301
127017a7856a6
1331c28358a59
14170256b8c90
15b45d44021c
hex651469219e

434134131102 has 48 divisors (see below), whose sum is σ = 1078455485952. Its totient is φ = 123639474960.

The previous prime is 434134131097. The next prime is 434134131139. The reversal of 434134131102 is 201131431434.

434134131102 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 341 + 311 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5500218 + ... + 5578589.

It is an arithmetic number, because the mean of its divisors is an integer number (22467822624).

Almost surely, 2434134131102 is an apocalyptic number.

434134131102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434134131102 is an abundant number, since it is smaller than the sum of its proper divisors (644321354850).

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

434134131102 is a wasteful number, since it uses less digits than its factorization.

434134131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079133 (or 11079130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434134131102 its reverse (201131431434), we get a palindrome (635265562536).

The spelling of 434134131102 in words is "four hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 933 1866 2177 2799 4354 5598 6531 13062 19593 39186 11078807 22157614 33236421 66472842 77551649 99709263 155103298 199418526 232654947 465309894 697964841 1395929682 3445508977 6891017954 10336526931 20673053862 24118562839 31009580793 48237125678 62019161586 72355688517 144711377034 217067065551 434134131102