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534434141434435 = 51122573437207071
BaseRepresentation
bin111100110000100001010010…
…1001001111111001001000011
32121002021101221012200001020021
41321201002211021333021003
51030022132110201400220
65132351353304354311
7220366410144020044
oct17141024511771103
92532241835601207
10534434141434435
11145318279196900
124bb34b00775997
1319c28c006136b8
1495d8a713a28cb
1541bbcd25664aa
hex1e610a527f243

534434141434435 has 24 divisors (see below), whose sum is σ = 707665940811648. Its totient is φ = 387167004364800.

The previous prime is 534434141434339. The next prime is 534434141434439.

534434141434435 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-534434141434435 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (534434141434439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718448051 + ... + 1718759020.

It is an arithmetic number, because the mean of its divisors is an integer number (29486080867152).

Almost surely, 2534434141434435 is an apocalyptic number.

534434141434435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534434141434435 is a deficient number, since it is larger than the sum of its proper divisors (173231799377213).

534434141434435 is a wasteful number, since it uses less digits than its factorization.

534434141434435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437207355 (or 3437207344 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 534434141434435 in words is "five hundred thirty-four trillion, four hundred thirty-four billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred thirty-five".

Divisors: 1 5 11 55 121 257 605 1285 2827 14135 31097 155485 3437207071 17186035355 37809277781 189046388905 415902055591 883362217247 2079510277955 4416811086235 9716984389717 48584921948585 106886828286887 534434141434435