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1111404414141 = 32776123181787
BaseRepresentation
bin10000001011000100110…
…111011000010010111101
310221020201200111000212200
4100023010313120102331
5121202124012223031
62210323325422113
7143203431435240
oct20130467302275
93836650430780
101111404414141
113993868aa14a
1215b49310a939
1380a6072b418
143bb13d6b257
151dd9bcc68e6
hex102c4dd84bd

1111404414141 has 24 divisors (see below), whose sum is σ = 1837110335424. Its totient is φ = 634253664960.

The previous prime is 1111404414079. The next prime is 1111404414151. The reversal of 1111404414141 is 1414144041111.

1111404414141 is a `hidden beast` number, since 1 + 1 + 1 + 140 + 441 + 41 + 41 = 666.

It is not a de Polignac number, because 1111404414141 - 210 = 1111404413117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111404414151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11542951 + ... + 11638836.

It is an arithmetic number, because the mean of its divisors is an integer number (76546263976).

Almost surely, 21111404414141 is an apocalyptic number.

It is an amenable number.

1111404414141 is a deficient number, since it is larger than the sum of its proper divisors (725705921283).

1111404414141 is a wasteful number, since it uses less digits than its factorization.

1111404414141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23182561 (or 23182558 counting only the distinct ones).

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

Adding to 1111404414141 its reverse (1414144041111), we get a palindrome (2525548455252).

The spelling of 1111404414141 in words is "one trillion, one hundred eleven billion, four hundred four million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 761 2283 5327 6849 15981 47943 23181787 69545361 162272509 208636083 486817527 1460452581 17641339907 52924019721 123489379349 158772059163 370468138047 1111404414141