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303133000040 = 23513582948077
BaseRepresentation
bin1000110100101000010…
…00101000000101101000
31001222102212012220211122
410122110020220011220
514431304022000130
6351131332114412
730620626662263
oct4322410500550
91058385186748
10303133000040
11107615748632
124a8ba765a08
132277bc3c2a0
1410959289cda
157d427752e5
hex4694228168

303133000040 has 32 divisors (see below), whose sum is σ = 734514578280. Its totient is φ = 111926030592.

The previous prime is 303133000003. The next prime is 303133000103. The reversal of 303133000040 is 40000331303.

It can be written as a sum of positive squares in 4 ways, for example, as 75560113924 + 227572886116 = 274882^2 + 477046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 303132999982 and 303133000018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291473519 + ... + 291474558.

Almost surely, 2303133000040 is an apocalyptic number.

It is an amenable number.

303133000040 is an abundant number, since it is smaller than the sum of its proper divisors (431381578240).

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

303133000040 is a wasteful number, since it uses less digits than its factorization.

303133000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582948101 (or 582948097 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 303133000040 its reverse (40000331303), we get a palindrome (343133331343).

The spelling of 303133000040 in words is "three hundred three billion, one hundred thirty-three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 582948077 1165896154 2331792308 2914740385 4663584616 5829480770 7578325001 11658961540 15156650002 23317923080 30313300004 37891625005 60626600008 75783250010 151566500020 303133000040