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3133440120 = 233540496449
BaseRepresentation
bin1011101011000100…
…1000000001111000
322002101010020202210
42322301020001320
522404130040440
61234532255120
7140435541636
oct27261100170
98071106683
103133440120
111368821a38
127354714a0
133ac235aa5
1421a220356
15135151a80
hexbac48078

3133440120 has 64 divisors (see below), whose sum is σ = 9404100000. Its totient is φ = 835248128.

The previous prime is 3133440091. The next prime is 3133440137. The reversal of 3133440120 is 210443313.

It is a super-2 number, since 2×31334401202 = 19636893971251228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482656 + ... + 489104.

Almost surely, 23133440120 is an apocalyptic number.

3133440120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133440120 is an abundant number, since it is smaller than the sum of its proper divisors (6270659880).

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

3133440120 is a wasteful number, since it uses less digits than its factorization.

3133440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3133440120 is about 55977.1392623810. The cubic root of 3133440120 is about 1463.3239024834.

Adding to 3133440120 its reverse (210443313), we get a palindrome (3343883433).

The spelling of 3133440120 in words is "three billion, one hundred thirty-three million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4049 6449 8098 12147 12898 16196 19347 20245 24294 25796 32245 32392 38694 40490 48588 51592 60735 64490 77388 80980 96735 97176 121470 128980 154776 161960 193470 242940 257960 386940 485880 773880 26112001 52224002 78336003 104448004 130560005 156672006 208896008 261120010 313344012 391680015 522240020 626688024 783360030 1044480040 1566720060 3133440120