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380144426013 = 32113839842687
BaseRepresentation
bin1011000100000100101…
…11111001110000011101
31100100012220210200222200
411202002113321300131
522212013433113023
6450345210202113
736315222210132
oct5420227716035
91310186720880
10380144426013
11137244688820
1261811723339
1329b02b604b1
1414583154589
159d4d6aa743
hex58825f9c1d

380144426013 has 12 divisors (see below), whose sum is σ = 599015459328. Its totient is φ = 230390561160.

The previous prime is 380144426003. The next prime is 380144426017. The reversal of 380144426013 is 310624441083.

380144426013 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 4 + 4 + 42 + 601 + 3 = 666.

It is not a de Polignac number, because 380144426013 - 28 = 380144425757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380144426017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1919921245 + ... + 1919921442.

It is an arithmetic number, because the mean of its divisors is an integer number (49917954944).

Almost surely, 2380144426013 is an apocalyptic number.

380144426013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

380144426013 is a deficient number, since it is larger than the sum of its proper divisors (218871033315).

380144426013 is a wasteful number, since it uses less digits than its factorization.

380144426013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839842704 (or 3839842701 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 380144426013 its reverse (310624441083), we get a palindrome (690768867096).

The spelling of 380144426013 in words is "three hundred eighty billion, one hundred forty-four million, four hundred twenty-six thousand, thirteen".

Divisors: 1 3 9 11 33 99 3839842687 11519528061 34558584183 42238269557 126714808671 380144426013