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11263141014401 = 73409377236193
BaseRepresentation
bin1010001111100110011110…
…0001001110101110000001
31110212202010122220020021202
42203321213201032232001
52434013403044430101
635542114320430545
72241510063664403
oct243714741165601
943782118806252
1011263141014401
113652742522841
12131aa57178455
13639156b588c3
142ad1d333cb73
15147ea7ecc36b
hexa3e6784eb81

11263141014401 has 8 divisors (see below), whose sum is σ = 11445346125960. Its totient is φ = 11081690376192.

The previous prime is 11263141014343. The next prime is 11263141014493. The reversal of 11263141014401 is 10441014136211.

It is a happy number.

11263141014401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2488506250000 + 8774634764401 = 1577500^2 + 2962201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11263141014401 - 226 = 11263073905537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11263141013401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188588240 + ... + 188647953.

It is an arithmetic number, because the mean of its divisors is an integer number (1430668265745).

Almost surely, 211263141014401 is an apocalyptic number.

It is an amenable number.

11263141014401 is a deficient number, since it is larger than the sum of its proper divisors (182205111559).

11263141014401 is an equidigital number, since it uses as much as digits as its factorization.

11263141014401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377236675.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 11263141014401 in words is "eleven trillion, two hundred sixty-three billion, one hundred forty-one million, fourteen thousand, four hundred one".

Divisors: 1 73 409 29857 377236193 27538242089 154289602937 11263141014401