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3141504405 = 345131733449
BaseRepresentation
bin1011101100111111…
…1000110110010101
322002221021221220000
42323033320312111
522413211120110
61235421201513
7140564226654
oct27317706625
98087257800
103141504405
11137232a836
12738100299
133b0aca560
1421b31d19b
15135be61c0
hexbb3f8d95

3141504405 has 80 divisors (see below), whose sum is σ = 6101449200. Its totient is φ = 1537201152.

The previous prime is 3141504391. The next prime is 3141504407. The reversal of 3141504405 is 5044051413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 438232356 + 2703272049 = 20934^2 + 51993^2 .

It is not a de Polignac number, because 3141504405 - 210 = 3141503381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141504407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 909121 + ... + 912569.

It is an arithmetic number, because the mean of its divisors is an integer number (76268115).

Almost surely, 23141504405 is an apocalyptic number.

It is an amenable number.

3141504405 is a deficient number, since it is larger than the sum of its proper divisors (2959944795).

3141504405 is a wasteful number, since it uses less digits than its factorization.

3141504405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3141504405 is about 56049.1249262645. The cubic root of 3141504405 is about 1464.5781737765.

Adding to 3141504405 its reverse (5044051413), we get a palindrome (8185555818).

The spelling of 3141504405 in words is "three billion, one hundred forty-one million, five hundred four thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 173 195 351 405 519 585 865 1053 1557 1755 2249 2595 3449 4671 5265 6747 7785 10347 11245 14013 17245 20241 23355 31041 33735 44837 51735 60723 70065 93123 101205 134511 155205 182169 224185 279369 303615 403533 465615 596677 672555 910845 1210599 1396845 1790031 2017665 2983385 3631797 5370093 6052995 7756801 8950155 16110279 18158985 23270403 26850465 38784005 48330837 69811209 80551395 116352015 209433627 241654185 349056045 628300881 1047168135 3141504405