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1014421413141 = 32293886672081
BaseRepresentation
bin11101100001100000011…
…10100101110100010101
310120222101202212010012200
432300300032211310111
5113110013340210031
62054004015235113
7133201210512213
oct16606016456425
93528352763180
101014421413141
11361239495054
12144727818a99
1374875ca56b6
1437153899cb3
151b5c288c8e6
hexec303a5d15

1014421413141 has 12 divisors (see below), whose sum is σ = 1515802111980. Its totient is φ = 652960909440.

The previous prime is 1014421413119. The next prime is 1014421413149. The reversal of 1014421413141 is 1413141244101.

1014421413141 is a `hidden beast` number, since 10 + 1 + 442 + 141 + 31 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202162640625 + 812258772516 = 449625^2 + 901254^2 .

It is not a de Polignac number, because 1014421413141 - 27 = 1014421413013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014421413149) 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 11 ways as a sum of consecutive naturals, for example, 1943335780 + ... + 1943336301.

It is an arithmetic number, because the mean of its divisors is an integer number (126316842665).

Almost surely, 21014421413141 is an apocalyptic number.

It is an amenable number.

1014421413141 is a deficient number, since it is larger than the sum of its proper divisors (501380698839).

1014421413141 is a wasteful number, since it uses less digits than its factorization.

1014421413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886672116 (or 3886672113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1014421413141 its reverse (1413141244101), we get a palindrome (2427562657242).

The spelling of 1014421413141 in words is "one trillion, fourteen billion, four hundred twenty-one million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 261 3886672081 11660016243 34980048729 112713490349 338140471047 1014421413141