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1310544144144 = 24329101001001
BaseRepresentation
bin10011000100100010100…
…001001010011100010000
311122021202002000110210100
4103010202201022130100
5132432443300103034
62442020005132400
7163453335265404
oct23044241123420
94567662013710
101310544144144
11465887004804
12191baa6ba100
13967787548a1
1447605ab5104
152415496b099
hex1312284a710

1310544144144 has 30 divisors (see below), whose sum is σ = 3667703403806. Its totient is φ = 436848048000.

The previous prime is 1310544144139. The next prime is 1310544144199. The reversal of 1310544144144 is 4414414450131.

1310544144144 is a `hidden beast` number, since 1 + 31 + 0 + 5 + 441 + 44 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 874389567744 + 436154576400 = 935088^2 + 660420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1310544144099 and 1310544144108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4550500357 + ... + 4550500644.

Almost surely, 21310544144144 is an apocalyptic number.

It is an amenable number.

1310544144144 is an abundant number, since it is smaller than the sum of its proper divisors (2357159259662).

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

1310544144144 is a wasteful number, since it uses less digits than its factorization.

1310544144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101001015 (or 9101001006 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 1310544144144 its reverse (4414414450131), we get a palindrome (5724958594275).

The spelling of 1310544144144 in words is "one trillion, three hundred ten billion, five hundred forty-four million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9101001001 18202002002 27303003003 36404004004 54606006006 72808008008 81909009009 109212012012 145616016016 163818018018 218424024024 327636036036 436848048048 655272072072 1310544144144