Search a number
-
+
331244518050 = 232521743299937
BaseRepresentation
bin1001101000111111011…
…01100011101010100010
31011122222222222222221100
410310133231203222202
520411342044034200
6412101023335230
732634355642605
oct4643755435242
91148888888840
10331244518050
11118530993146
1254245151516
132530bca4304
141206498833c
15893a6b8d00
hex4d1fb63aa2

331244518050 has 72 divisors (see below), whose sum is σ = 942293250756. Its totient is φ = 83135877120.

The previous prime is 331244518049. The next prime is 331244518063. The reversal of 331244518050 is 50815442133.

331244518050 is a `hidden beast` number, since 3 + 3 + 124 + 451 + 80 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 186839198001 + 144405320049 = 432249^2 + 380007^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331244517996 and 331244518014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21642319 + ... + 21657618.

Almost surely, 2331244518050 is an apocalyptic number.

331244518050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331244518050 is an abundant number, since it is smaller than the sum of its proper divisors (611048732706).

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

331244518050 is a wasteful number, since it uses less digits than its factorization.

331244518050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43299972 (or 43299964 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 331244518050 in words is "three hundred thirty-one billion, two hundred forty-four million, five hundred eighteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 43299937 86599874 129899811 216499685 259799622 389699433 432999370 649499055 736098929 779398866 1082498425 1298998110 1472197858 1948497165 2164996850 2208296787 3247495275 3680494645 3896994330 4416593574 6494990550 6624890361 7360989290 9742485825 11041483935 13249780722 18402473225 19484971650 22082967870 33124451805 36804946450 55207419675 66248903610 110414839350 165622259025 331244518050