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1314411144 = 23354767131
BaseRepresentation
bin100111001011000…
…0101001010001000
310101121022000010020
41032112011022020
510142442124034
6334232220440
744400211314
oct11626051210
93347260106
101314411144
11614a50602
1230823a720
1317c412597
14c67d2b44
157a5da249
hex4e585288

1314411144 has 16 divisors (see below), whose sum is σ = 3286027920. Its totient is φ = 438137040.

The previous prime is 1314411121. The next prime is 1314411149. The reversal of 1314411144 is 4411144131.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 54767131 = 1314411144 / (1 + 3 + 1 + 4 + 4 + 1 + 1 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1314411149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27383542 + ... + 27383589.

It is an arithmetic number, because the mean of its divisors is an integer number (205376745).

Almost surely, 21314411144 is an apocalyptic number.

It is an amenable number.

1314411144 is an abundant number, since it is smaller than the sum of its proper divisors (1971616776).

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

1314411144 is a wasteful number, since it uses less digits than its factorization.

1314411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54767140 (or 54767136 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1314411144 is about 36254.8085638305. The cubic root of 1314411144 is about 1095.4109489413.

Adding to 1314411144 its reverse (4411144131), we get a palindrome (5725555275).

The spelling of 1314411144 in words is "one billion, three hundred fourteen million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 54767131 109534262 164301393 219068524 328602786 438137048 657205572 1314411144