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2434144541 = 171013314283
BaseRepresentation
bin1001000100010110…
…0001100100011101
320021122021100120112
42101011201210131
514441120111131
61041312055405
7114214613213
oct22105414435
96248240515
102434144541
11103a013904
1257b234565
132ca3b221a
141913cacb3
15e3a6d02b
hex9116191d

2434144541 has 16 divisors (see below), whose sum is σ = 2611320768. Its totient is φ = 2260896000.

The previous prime is 2434144519. The next prime is 2434144543. The reversal of 2434144541 is 1454414342.

It is a cyclic number.

It is not a de Polignac number, because 2434144541 - 218 = 2433882397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2434144498 and 2434144507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434144543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566186 + ... + 570468.

It is an arithmetic number, because the mean of its divisors is an integer number (163207548).

Almost surely, 22434144541 is an apocalyptic number.

It is an amenable number.

2434144541 is a deficient number, since it is larger than the sum of its proper divisors (177176227).

2434144541 is a wasteful number, since it uses less digits than its factorization.

2434144541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732.

The product of its digits is 30720, while the sum is 32.

The square root of 2434144541 is about 49337.0503881211. The cubic root of 2434144541 is about 1345.1853258724.

Adding to 2434144541 its reverse (1454414342), we get a palindrome (3888558883).

The spelling of 2434144541 in words is "two billion, four hundred thirty-four million, one hundred forty-four thousand, five hundred forty-one".

Divisors: 1 17 101 331 1717 4283 5627 33431 72811 432583 568327 1417673 7353911 24100441 143184973 2434144541