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541421124145 = 5112894910949
BaseRepresentation
bin1111110000011110011…
…01101011101000110001
31220202111120100211120121
413320033031223220301
532332312301433040
61052420405410241
754054630423256
oct7701715535061
91822446324517
10541421124145
11199685123100
1288b20a09981
133c095766aa5
141c2c244142d
15e13c283c4a
hex7e0f36ba31

541421124145 has 12 divisors (see below), whose sum is σ = 714138938100. Its totient is φ = 393760817120.

The previous prime is 541421124131. The next prime is 541421124187.

541421124145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 309999514176 + 231421609969 = 556776^2 + 481063^2 .

It is not a de Polignac number, because 541421124145 - 225 = 541387569713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541421124145.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447454870 + ... + 447456079.

It is an arithmetic number, because the mean of its divisors is an integer number (59511578175).

Almost surely, 2541421124145 is an apocalyptic number.

541421124145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541421124145 is a deficient number, since it is larger than the sum of its proper divisors (172717813955).

541421124145 is a wasteful number, since it uses less digits than its factorization.

541421124145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894910976 (or 894910965 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

It can be divided in two parts, 541421 and 124145, that added together give a palindrome (665566).

The spelling of 541421124145 in words is "five hundred forty-one billion, four hundred twenty-one million, one hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 605 894910949 4474554745 9844020439 49220102195 108284224829 541421124145