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3144131441 = 112313679091
BaseRepresentation
bin1011101101100111…
…1010001101110001
322010010020102111122
42323121322031301
522414344201231
61235553352025
7140625450653
oct27331721561
98103212448
103144131441
111373864540
12738b68615
133b150a209
1421b8046d3
1513606477b
hexbb67a371

3144131441 has 16 divisors (see below), whose sum is σ = 3582102528. Its totient is φ = 2731726800.

The previous prime is 3144131413. The next prime is 3144131443. The reversal of 3144131441 is 1441314413.

It is a happy number.

It is not a de Polignac number, because 3144131441 - 26 = 3144131377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3144131441.

It is not an unprimeable number, because it can be changed into a prime (3144131443) 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, 341306 + ... + 350396.

It is an arithmetic number, because the mean of its divisors is an integer number (223881408).

Almost surely, 23144131441 is an apocalyptic number.

It is an amenable number.

3144131441 is a deficient number, since it is larger than the sum of its proper divisors (437971087).

3144131441 is a wasteful number, since it uses less digits than its factorization.

3144131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492.

The product of its digits is 2304, while the sum is 26.

The square root of 3144131441 is about 56072.5551495560. Note that the first 3 decimals coincide. The cubic root of 3144131441 is about 1464.9863038864.

Adding to 3144131441 its reverse (1441314413), we get a palindrome (4585445854).

The spelling of 3144131441 in words is "three billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 11 23 253 1367 9091 15037 31441 100001 209093 345851 2300023 12427397 136701367 285830131 3144131441