Search a number
-
+
12310525040040 = 2332536179454217
BaseRepresentation
bin1011001100100100010001…
…1110001101010110101000
31121120212121122201120012100
42303021010132031112220
53103143423402240130
642103213243213400
72410256200213653
oct263110436152650
947525548646170
1012310525040040
113a169564a54a7
121469a41b17260
136b3b53c1a226
14307b928b689a
151653595eec60
hexb324478d5a8

12310525040040 has 96 divisors (see below), whose sum is σ = 40020272047080. Its totient is φ = 3281898725376.

The previous prime is 12310525040017. The next prime is 12310525040041. The reversal of 12310525040040 is 4004052501321.

12310525040040 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 5 + 250 + 400 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4113538450596 + 8196986589444 = 2028186^2 + 2863038^2 .

It is a super-2 number, since 2×123105250400402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12310525039986 and 12310525040013.

It is not an unprimeable number, because it can be changed into a prime (12310525040041) 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, 3424989 + ... + 6029228.

Almost surely, 212310525040040 is an apocalyptic number.

12310525040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310525040040 is an abundant number, since it is smaller than the sum of its proper divisors (27709747007040).

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

12310525040040 is a wasteful number, since it uses less digits than its factorization.

12310525040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457851 (or 9457844 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12310525040040 its reverse (4004052501321), we get a palindrome (16314577541361).

The spelling of 12310525040040 in words is "twelve trillion, three hundred ten billion, five hundred twenty-five million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3617 7234 10851 14468 18085 21702 28936 32553 36170 43404 54255 65106 72340 86808 108510 130212 144680 162765 217020 260424 325530 434040 651060 1302120 9454217 18908434 28362651 37816868 47271085 56725302 75633736 85087953 94542170 113450604 141813255 170175906 189084340 226901208 283626510 340351812 378168680 425439765 567253020 680703624 850879530 1134506040 1701759060 3403518120 34195902889 68391805778 102587708667 136783611556 170979514445 205175417334 273567223112 307763126001 341959028890 410350834668 512938543335 615526252002 683918057780 820701669336 1025877086670 1231052504004 1367836115560 1538815630005 2051754173340 2462105008008 3077631260010 4103508346680 6155262520020 12310525040040