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1318024144 = 241710147977
BaseRepresentation
bin100111010001111…
…0111001111010000
310101212002120020001
41032203313033100
510144403233034
6334441455344
744443006663
oct11643671720
93355076201
101318024144
11616a99058
123094a1554
131800a8c58
14c70936da
157aaa0a14
hex4e8f73d0

1318024144 has 40 divisors (see below), whose sum is σ = 2730715848. Its totient is φ = 614092800.

The previous prime is 1318024139. The next prime is 1318024157. The reversal of 1318024144 is 4414208131.

It can be written as a sum of positive squares in 4 ways, for example, as 1151923600 + 166100544 = 33940^2 + 12888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3484 + ... + 51460.

Almost surely, 21318024144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365357924).

1318024144 is an abundant number, since it is smaller than the sum of its proper divisors (1412691704).

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

1318024144 is a wasteful number, since it uses less digits than its factorization.

1318024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48103 (or 48097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1318024144 is about 36304.6022426909. The cubic root of 1318024144 is about 1096.4137044416.

The spelling of 1318024144 in words is "one billion, three hundred eighteen million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 47977 95954 191908 383816 767632 815609 1631218 3262436 4845677 6524872 9691354 13049744 19382708 38765416 77530832 82376509 164753018 329506036 659012072 1318024144