Search a number
-
+
3012144563340 = 22325111521285133
BaseRepresentation
bin101011110101010001110…
…011101000010010001100
3101122221212112102000102100
4223311101303220102030
5343322333002011330
610223432103355100
7430422515225223
oct53652163502214
911587775360370
103012144563340
11a61497096990
12407935152a90
1318b07590bb63
14a5b07bc5cba
1553545a1d060
hex2bd51ce848c

3012144563340 has 72 divisors (see below), whose sum is σ = 9967460197968. Its totient is φ = 730216863360.

The previous prime is 3012144563339. The next prime is 3012144563383. The reversal of 3012144563340 is 433654412103.

3012144563340 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 14 + 4 + 5 + 633 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3012144563295 and 3012144563304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760640587 + ... + 760644546.

It is an arithmetic number, because the mean of its divisors is an integer number (138436947194).

Almost surely, 23012144563340 is an apocalyptic number.

3012144563340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3012144563340 is an abundant number, since it is smaller than the sum of its proper divisors (6955315634628).

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

3012144563340 is a wasteful number, since it uses less digits than its factorization.

3012144563340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521285159 (or 1521285154 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3012144563340 its reverse (433654412103), we get a palindrome (3445798975443).

The spelling of 3012144563340 in words is "three trillion, twelve billion, one hundred forty-four million, five hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1521285133 3042570266 4563855399 6085140532 7606425665 9127710798 13691566197 15212851330 16734136463 18255421596 22819276995 27383132394 30425702660 33468272926 45638553990 50202409389 54766264788 66936545852 68457830985 83670682315 91277107980 100404818778 136915661970 150607228167 167341364630 200809637556 251012046945 273831323940 301214456334 334682729260 502024093890 602428912668 753036140835 1004048187780 1506072281670 3012144563340