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141441414031 = 1922329587413
BaseRepresentation
bin1000001110111010010…
…0001011001110001111
3111112002021222022002001
42003232210023032033
54304133000222111
6144551032213131
713135023116401
oct2035644131617
9445067868061
10141441414031
1154a91a99905
12234b453a1a7
13104513b0ac8
146bbac40b71
153a2c5471c1
hex20ee90b38f

141441414031 has 24 divisors (see below), whose sum is σ = 161139408480. Its totient is φ = 123751260864.

The previous prime is 141441414017. The next prime is 141441414047. The reversal of 141441414031 is 130414144141.

It is a happy number.

141441414031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141441414031 - 25 = 141441413999 is a prime.

It is a super-2 number, since 2×1414414140312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141441414001) 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, 52920 + ... + 534493.

It is an arithmetic number, because the mean of its divisors is an integer number (6714142020).

Almost surely, 2141441414031 is an apocalyptic number.

141441414031 is a deficient number, since it is larger than the sum of its proper divisors (19697994449).

141441414031 is a wasteful number, since it uses less digits than its factorization.

141441414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587503 (or 587484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141441414031 its reverse (130414144141), we get a palindrome (271855558172).

The spelling of 141441414031 in words is "one hundred forty-one billion, four hundred forty-one million, four hundred fourteen thousand, thirty-one".

Divisors: 1 19 23 29 361 437 551 667 8303 10469 12673 240787 587413 11160847 13510499 17034977 212056093 256699481 323664563 391804471 4877290139 6149626697 7444284949 141441414031