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434303142405 = 35112866191837
BaseRepresentation
bin1100101000111100111…
…11000000101000000101
31112112000022222120000120
412110132133000220011
524103423101024110
6531303251332153
743243302541356
oct6243637005005
91475008876016
10434303142405
1115820688aa70
12702072b1059
1331c54383042
141703dd11d2d
15b46d1c7870
hex651e7c0a05

434303142405 has 32 divisors (see below), whose sum is σ = 758091097728. Its totient is φ = 210561580800.

The previous prime is 434303142347. The next prime is 434303142409. The reversal of 434303142405 is 504241303434.

It is not a de Polignac number, because 434303142405 - 26 = 434303142341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434303142409) 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, 4683147 + ... + 4774983.

It is an arithmetic number, because the mean of its divisors is an integer number (23690346804).

Almost surely, 2434303142405 is an apocalyptic number.

It is an amenable number.

434303142405 is a deficient number, since it is larger than the sum of its proper divisors (323787955323).

434303142405 is a wasteful number, since it uses less digits than its factorization.

434303142405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120517.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 434303142405 its reverse (504241303434), we get a palindrome (938544445839).

The spelling of 434303142405 in words is "four hundred thirty-four billion, three hundred three million, one hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 28661 85983 91837 143305 275511 315271 429915 459185 945813 1010207 1377555 1576355 3030621 4729065 5051035 15153105 2632140257 7896420771 13160701285 28953542827 39482103855 86860628481 144767714135 434303142405