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1188145780441 = 10900212
BaseRepresentation
bin10001010010100011000…
…000011101011011011001
311012120210220220100210121
4101102203000131123121
5123431310304433231
62305454315313241
7151561234333114
oct21224300353331
94176726810717
101188145780441
11418987355524
1217232b74b821
13880707055c9
144171401757b
1520d8e164311
hex114a301d6d9

1188145780441 has 3 divisors (see below), whose sum is σ = 1188146870463. Its totient is φ = 1188144690420.

The previous prime is 1188145780411. The next prime is 1188145780463. The reversal of 1188145780441 is 1440875418811.

The square root of 1188145780441 is 1090021.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 324695972041 + 863449808400 = 569821^2 + 929220^2 .

It is not a de Polignac number, because 1188145780441 - 29 = 1188145779929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1188145780411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 545011 + ... + 1635031.

It is an arithmetic number, because the mean of its divisors is an integer number (396048956821).

Almost surely, 21188145780441 is an apocalyptic number.

1188145780441 is the 1090021-st square number.

1188145780441 is the 545011-st centered octagonal number.

It is an amenable number.

1188145780441 is a deficient number, since it is larger than the sum of its proper divisors (1090022).

1188145780441 is an frugal number, since it uses more digits than its factorization.

1188145780441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180042 (or 1090021 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 52.

The spelling of 1188145780441 in words is "one trillion, one hundred eighty-eight billion, one hundred forty-five million, seven hundred eighty thousand, four hundred forty-one".

Divisors: 1 1090021 1188145780441