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434432014341 = 3131737103171937
BaseRepresentation
bin1100101001001100010…
…10100111100000000101
31112112100022110221002020
412110212022213200011
524104204043424331
6531324133433353
743246426123323
oct6244612474005
91475308427066
10434432014341
111582726013a6
127024249b859
1331c74c95220
141705309ad13
15b479681c96
hex65262a7805

434432014341 has 64 divisors (see below), whose sum is σ = 684934967808. Its totient is φ = 242438012928.

The previous prime is 434432014333. The next prime is 434432014363. The reversal of 434432014341 is 143410234434.

It is not a de Polignac number, because 434432014341 - 23 = 434432014333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434432014141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2440725 + ... + 2612661.

It is an arithmetic number, because the mean of its divisors is an integer number (10702108872).

Almost surely, 2434432014341 is an apocalyptic number.

It is an amenable number.

434432014341 is a deficient number, since it is larger than the sum of its proper divisors (250502953467).

434432014341 is a wasteful number, since it uses less digits than its factorization.

434432014341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172110.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 434432014341 its reverse (143410234434), we get a palindrome (577842248775).

The spelling of 434432014341 in words is "four hundred thirty-four billion, four hundred thirty-two million, fourteen thousand, three hundred forty-one".

Divisors: 1 3 13 17 37 39 51 103 111 221 309 481 629 663 1339 1443 1751 1887 3811 4017 5253 8177 11433 22763 24531 49543 64787 68289 148629 171937 194361 515811 842231 2235181 2526693 2922929 6361669 6705543 8768787 17709511 19085007 37998077 53128533 82701697 108148373 113994231 230223643 248105091 301061687 324445119 655251907 690670929 903185061 1405928849 1965755721 3913801931 4217786547 8518274791 11139282419 11741405793 25554824373 33417847257 144810671447 434432014341