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10141441104411 = 331765933527531
BaseRepresentation
bin1001001110010011110011…
…1111101001101000011011
31022220111211110121211012000
42103210330333221220123
52312124132410320121
633322525210452043
72064460236034221
oct223447477515033
938814743554160
1010141441104411
11325aa63131241
121179590134023
1358744545b406
14270bc3cccb11
15128c07428526
hex9393cfe9a1b

10141441104411 has 32 divisors (see below), whose sum is σ = 15932283206400. Its totient is φ = 6353601045120.

The previous prime is 10141441104397. The next prime is 10141441104427. The reversal of 10141441104411 is 11440114414101.

10141441104411 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 144 + 1 + 104 + 411 = 666.

It is not a de Polignac number, because 10141441104411 - 214 = 10141441088027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141441104481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16461285 + ... + 17066246.

It is an arithmetic number, because the mean of its divisors is an integer number (497883850200).

Almost surely, 210141441104411 is an apocalyptic number.

10141441104411 is a deficient number, since it is larger than the sum of its proper divisors (5790842101989).

10141441104411 is a wasteful number, since it uses less digits than its factorization.

10141441104411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33528216 (or 33528210 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 10141441104411 its reverse (11440114414101), we get a palindrome (21581555518512).

The spelling of 10141441104411 in words is "ten trillion, one hundred forty-one billion, four hundred forty-one million, one hundred four thousand, four hundred eleven".

Divisors: 1 3 9 17 27 51 153 459 659 1977 5931 11203 17793 33609 100827 302481 33527531 100582593 301747779 569968027 905243337 1709904081 5129712243 15389136729 22094642929 66283928787 198851786361 375608929793 596555359083 1126826789379 3380480368137 10141441104411