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434130203151 = 3347421812599
BaseRepresentation
bin1100101000101000010…
…11010011001000001111
31112111120021120022222000
412110110023103020033
524103044313000101
6531234152523343
743236102561321
oct6242413231017
91474507508860
10434130203151
11158128200167
12701793b0553
1331c275b1c18
1417024d75611
15b45ce16486
hex65142d320f

434130203151 has 32 divisors (see below), whose sum is σ = 658401024000. Its totient is φ = 282589080480.

The previous prime is 434130203149. The next prime is 434130203161. The reversal of 434130203151 is 151302031434.

It is a happy number.

434130203151 is a `hidden beast` number, since 4 + 3 + 41 + 302 + 0 + 315 + 1 = 666.

It is not a de Polignac number, because 434130203151 - 21 = 434130203149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434130203161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127950 + ... + 940548.

It is an arithmetic number, because the mean of its divisors is an integer number (20575032000).

Almost surely, 2434130203151 is an apocalyptic number.

434130203151 is a deficient number, since it is larger than the sum of its proper divisors (224270820849).

434130203151 is a wasteful number, since it uses less digits than its factorization.

434130203151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813076 (or 813070 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 434130203151 its reverse (151302031434), we get a palindrome (585432234585).

The spelling of 434130203151 in words is "four hundred thirty-four billion, one hundred thirty million, two hundred three thousand, one hundred fifty-one".

Divisors: 1 3 9 27 47 141 421 423 1263 1269 3789 11367 19787 59361 178083 534249 812599 2437797 7313391 21940173 38192153 114576459 342104179 343729377 1026312537 1031188131 3078937611 9236812833 16078896413 48236689239 144710067717 434130203151