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1014432140441 = 157181337105929
BaseRepresentation
bin11101100001100001101…
…11100000110010011001
310120222102112001010022002
432300300313200302121
5113110024111443231
62054005041210345
7133201400631146
oct16606067406231
93528375033262
101014432140441
11361244551695
1214472b3309b5
1374878290305
143715508d3cd
151b5c37ab0cb
hexec30de0c99

1014432140441 has 16 divisors (see below), whose sum is σ = 1029589601040. Its totient is φ = 999417968640.

The previous prime is 1014432140417. The next prime is 1014432140483. The reversal of 1014432140441 is 1440412344101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86862825625 + 927569314816 = 294725^2 + 963104^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014432140441 - 210 = 1014432139417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014432140411) 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 15 ways as a sum of consecutive naturals, for example, 9523565 + ... + 9629493.

It is an arithmetic number, because the mean of its divisors is an integer number (64349350065).

Almost surely, 21014432140441 is an apocalyptic number.

It is an amenable number.

1014432140441 is a deficient number, since it is larger than the sum of its proper divisors (15157460599).

1014432140441 is a wasteful number, since it uses less digits than its factorization.

1014432140441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106604.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1014432140441 its reverse (1440412344101), we get a palindrome (2454844484542).

The spelling of 1014432140441 in words is "one trillion, fourteen billion, four hundred thirty-two million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 157 181 337 28417 52909 60997 105929 9576529 16630853 19173149 35698073 3010184393 5604597461 6461351213 1014432140441