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1141411340401 = 1725237754157
BaseRepresentation
bin10000100111000001011…
…010101110000001110001
311001010011220210211021221
4100213001122232001301
5122200102300343101
62232205050145041
7145315144212253
oct20470132560161
94033156724257
101141411340401
11400084a43a62
12165268422181
1383833379ca7
143d35d299cd3
151ea5631caa1
hex109c16ae071

1141411340401 has 12 divisors (see below), whose sum is σ = 1212735838428. Its totient is φ = 1074062941952.

The previous prime is 1141411340341. The next prime is 1141411340423. The reversal of 1141411340401 is 1040431141411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 62147997025 + 1079263343376 = 249295^2 + 1038876^2 .

It is not a de Polignac number, because 1141411340401 - 29 = 1141411339889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141411340471) 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 11 ways as a sum of consecutive naturals, for example, 1136415 + ... + 1890571.

It is an arithmetic number, because the mean of its divisors is an integer number (101061319869).

Almost surely, 21141411340401 is an apocalyptic number.

It is an amenable number.

1141411340401 is a deficient number, since it is larger than the sum of its proper divisors (71324498027).

1141411340401 is an equidigital number, since it uses as much as digits as its factorization.

1141411340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759428 (or 759411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1141411340401 its reverse (1040431141411), we get a palindrome (2181842481812).

The spelling of 1141411340401 in words is "one trillion, one hundred forty-one billion, four hundred eleven million, three hundred forty thousand, four hundred one".

Divisors: 1 17 289 5237 89029 754157 1513493 12820669 217951373 3949520209 67141843553 1141411340401