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133443100040 = 23517196239853
BaseRepresentation
bin111110001000111010…
…1000001110110001000
3110202102212201211221112
41330101311001312020
54141242413200130
6141145232425452
712432562430615
oct1742165016610
9422385654845
10133443100040
1151658173158
1221a419a8288
13c77830b233
14665c89550c
153710281495
hex1f11d41d88

133443100040 has 32 divisors (see below), whose sum is σ = 317908563480. Its totient is φ = 50237402112.

The previous prime is 133443100031. The next prime is 133443100151. The reversal of 133443100040 is 40001344331.

It can be written as a sum of positive squares in 4 ways, for example, as 100947269284 + 32495830756 = 317722^2 + 180266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133443099979 and 133443100015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98119247 + ... + 98120606.

Almost surely, 2133443100040 is an apocalyptic number.

133443100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133443100040 is an abundant number, since it is smaller than the sum of its proper divisors (184465463440).

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

133443100040 is a wasteful number, since it uses less digits than its factorization.

133443100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196239881 (or 196239877 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 133443100040 its reverse (40001344331), we get a palindrome (173444444371).

The spelling of 133443100040 in words is "one hundred thirty-three billion, four hundred forty-three million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 196239853 392479706 784959412 981199265 1569918824 1962398530 3336077501 3924797060 6672155002 7849594120 13344310004 16680387505 26688620008 33360775010 66721550020 133443100040