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3140231440 = 245379710937
BaseRepresentation
bin1011101100101100…
…0010000100010000
322002211220021201011
42323023002010100
522412344401230
61235334020304
7140550345463
oct27313020420
98084807634
103140231440
1113716403a5
127377a7694
133b0773018
1421b0ab2da
15135a43e2a
hexbb2c2110

3140231440 has 80 divisors (see below), whose sum is σ = 7576358832. Its totient is φ = 1209434112.

The previous prime is 3140231431. The next prime is 3140231461. The reversal of 3140231440 is 441320413.

It can be written as a sum of positive squares in 8 ways, for example, as 518381824 + 2621849616 = 22768^2 + 51204^2 .

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

It is a super-2 number, since 2×31402314402 = 19722106993528947200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281652 + ... + 292588.

Almost surely, 23140231440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788179416).

3140231440 is an abundant number, since it is smaller than the sum of its proper divisors (4436127392).

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

3140231440 is a wasteful number, since it uses less digits than its factorization.

3140231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3140231440 is about 56037.7679783911. The cubic root of 3140231440 is about 1464.3803270987.

Adding to 3140231440 its reverse (441320413), we get a palindrome (3581551853).

The spelling of 3140231440 in words is "three billion, one hundred forty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 97 148 185 194 296 370 388 485 592 740 776 970 1480 1552 1940 2960 3589 3880 7178 7760 10937 14356 17945 21874 28712 35890 43748 54685 57424 71780 87496 109370 143560 174992 218740 287120 404669 437480 809338 874960 1060889 1618676 2023345 2121778 3237352 4046690 4243556 5304445 6474704 8093380 8487112 10608890 16186760 16974224 21217780 32373520 39252893 42435560 78505786 84871120 157011572 196264465 314023144 392528930 628046288 785057860 1570115720 3140231440