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3141204240 = 243517769903
BaseRepresentation
bin1011101100111010…
…1111100100010000
322002220201201010210
42323032233210100
522413122013430
61235410524120
7140561536566
oct27316574420
98086651123
103141204240
111372145269
12737b96640
133b0a23a45
1421b281a36
15135b872b0
hexbb3af910

3141204240 has 80 divisors (see below), whose sum is σ = 10310554368. Its totient is φ = 788379648.

The previous prime is 3141204229. The next prime is 3141204247. The reversal of 3141204240 is 424021413.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3141204247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380872 + ... + 389031.

Almost surely, 23141204240 is an apocalyptic number.

3141204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141204240 is an abundant number, since it is smaller than the sum of its proper divisors (7169350128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3141204240 is a wasteful number, since it uses less digits than its factorization.

3141204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769936 (or 769930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3141204240 is about 56046.4471666135. The cubic root of 3141204240 is about 1464.5315263689.

Adding to 3141204240 its reverse (424021413), we get a palindrome (3565225653).

The spelling of 3141204240 in words is "three billion, one hundred forty-one million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 769903 1539806 2309709 3079612 3849515 4619418 6159224 7699030 9238836 11548545 12318448 13088351 15398060 18477672 23097090 26176702 30796120 36955344 39265053 46194180 52353404 61592240 65441755 78530106 92388360 104706808 130883510 157060212 184776720 196325265 209413616 261767020 314120424 392650530 523534040 628240848 785301060 1047068080 1570602120 3141204240