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3140405040 = 243520296449
BaseRepresentation
bin1011101100101110…
…1100011100110000
322002212020002211210
42323023230130300
522412420430130
61235341440120
7140552000553
oct27313543460
98085202753
103140405040
111371749873
12737870040
133b0804046
1421b11469a
15135a7a5b0
hexbb2ec730

3140405040 has 80 divisors (see below), whose sum is σ = 9741564000. Its totient is φ = 836898816.

The previous prime is 3140405033. The next prime is 3140405057. The reversal of 3140405040 is 405040413.

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

It is a junction number, because it is equal to n+sod(n) for n = 3140404998 and 3140405016.

It is an unprimeable number.

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, 483736 + ... + 490184.

It is an arithmetic number, because the mean of its divisors is an integer number (121769550).

Almost surely, 23140405040 is an apocalyptic number.

3140405040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140405040 is an abundant number, since it is smaller than the sum of its proper divisors (6601158960).

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

3140405040 is a wasteful number, since it uses less digits than its factorization.

3140405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3140405040 is about 56039.3169123250. The cubic root of 3140405040 is about 1464.4073114941.

Adding to 3140405040 its reverse (405040413), we get a palindrome (3545445453).

The spelling of 3140405040 in words is "three billion, one hundred forty million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2029 4058 6087 6449 8116 10145 12174 12898 16232 19347 20290 24348 25796 30435 32245 32464 38694 40580 48696 51592 60870 64490 77388 81160 96735 97392 103184 121740 128980 154776 162320 193470 243480 257960 309552 386940 486960 515920 773880 1547760 13085021 26170042 39255063 52340084 65425105 78510126 104680168 130850210 157020252 196275315 209360336 261700420 314040504 392550630 523400840 628081008 785101260 1046801680 1570202520 3140405040