Search a number
-
+
3115310040 = 2332573118543
BaseRepresentation
bin1011100110101111…
…1101101111011000
322001010000010222100
42321223331233120
522340004410130
61233043523400
7140125461363
oct27153755730
98033003870
103115310040
1113595695a7
1272b389560
133a855882b
14217a610da
1513376ec60
hexb9afdbd8

3115310040 has 96 divisors (see below), whose sum is σ = 10263539520. Its totient is φ = 819362304.

The previous prime is 3115310021. The next prime is 3115310041. The reversal of 3115310040 is 400135113.

3115310040 is a `hidden beast` number, since 311 + 5 + 310 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3115309995 and 3115310022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115310041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32992 + ... + 85551.

It is an arithmetic number, because the mean of its divisors is an integer number (106911870).

Almost surely, 23115310040 is an apocalyptic number.

3115310040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3115310040 is an abundant number, since it is smaller than the sum of its proper divisors (7148229480).

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

3115310040 is a wasteful number, since it uses less digits than its factorization.

3115310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118633 (or 118626 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3115310040 is about 55814.9625100653. The cubic root of 3115310040 is about 1460.4961783875.

Adding to 3115310040 its reverse (400135113), we get a palindrome (3515445153).

The spelling of 3115310040 in words is "three billion, one hundred fifteen million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 118543 237086 355629 474172 592715 711258 948344 1066887 1185430 1422516 1778145 2133774 2370860 2845032 3556290 4267548 4741720 5334435 7112580 8535096 8653639 10668870 14225160 17307278 21337740 25960917 34614556 42675480 43268195 51921834 69229112 77882751 86536390 103843668 129804585 155765502 173072780 207687336 259609170 311531004 346145560 389413755 519218340 623062008 778827510 1038436680 1557655020 3115310040