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141220312441 = 1353673304553
BaseRepresentation
bin1000001110000101100…
…0101111010101111001
3111111111212221011201021
42003201120233111321
54303204344444231
6144513053222441
713126366564345
oct2034130572571
9444455834637
10141220312441
1154989203a1a
1223452491a21
1310417648b70
146b99728625
153a17e20811
hex20e162f579

141220312441 has 16 divisors (see below), whose sum is σ = 155183663376. Its totient is φ = 127707181056.

The previous prime is 141220312439. The next prime is 141220312483. The reversal of 141220312441 is 144213022141.

141220312441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8141272441 + 133079040000 = 90229^2 + 364800^2 .

It is not a de Polignac number, because 141220312441 - 21 = 141220312439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141220312411) 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, 311421 + ... + 615973.

It is an arithmetic number, because the mean of its divisors is an integer number (9698978961).

Almost surely, 2141220312441 is an apocalyptic number.

It is an amenable number.

141220312441 is a deficient number, since it is larger than the sum of its proper divisors (13963350935).

141220312441 is a wasteful number, since it uses less digits than its factorization.

141220312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305292.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 141220312441 its reverse (144213022141), we get a palindrome (285433334582).

The spelling of 141220312441 in words is "one hundred forty-one billion, two hundred twenty million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 53 673 689 8749 35669 304553 463697 3959189 16141309 204964169 209837017 2664534197 10863100957 141220312441