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3422527041541 = 61317176993693
BaseRepresentation
bin110001110011011110100…
…000100011000000000101
3110010012010210102220222211
4301303132200203000011
5422033313410312131
611140142012223421
7502161260565046
oct61633640430005
913105123386884
103422527041541
1110aa538320883
1247338546ab71
131ba98725280a
14bb918c308cd
155e063b765b1
hex31cde823005

3422527041541 has 8 divisors (see below), whose sum is σ = 3489607670904. Its totient is φ = 3355800400320.

The previous prime is 3422527041529. The next prime is 3422527041559. The reversal of 3422527041541 is 1451407252243.

3422527041541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 79191588100 + 3343335453441 = 281410^2 + 1828479^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3422527041541 - 213 = 3422527033349 is a prime.

It is a super-3 number, since 3×34225270415413 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3422527041494 and 3422527041503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422527041641) 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 7 ways as a sum of consecutive naturals, for example, 88477510 + ... + 88516183.

It is an arithmetic number, because the mean of its divisors is an integer number (436200958863).

Almost surely, 23422527041541 is an apocalyptic number.

It is an amenable number.

3422527041541 is a deficient number, since it is larger than the sum of its proper divisors (67080629363).

3422527041541 is a wasteful number, since it uses less digits than its factorization.

3422527041541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176994071.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 3422527041541 in words is "three trillion, four hundred twenty-two billion, five hundred twenty-seven million, forty-one thousand, five hundred forty-one".

Divisors: 1 61 317 19337 176993693 10796615273 56107000681 3422527041541