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13201442144 = 2511367102191
BaseRepresentation
bin11000100101101111…
…00000010101100000
31021002000211202010122
430102313200111200
5204014032122034
610021544415412
7645100256342
oct142267402540
937060752118
1013201442144
115664962970
122685177568
131325042537
148d3405292
15523e9362e
hex312de0560

13201442144 has 48 divisors (see below), whose sum is σ = 28430631936. Its totient is φ = 5984246400.

The previous prime is 13201442099. The next prime is 13201442161. The reversal of 13201442144 is 44124410231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78089 + ... + 180279.

It is an arithmetic number, because the mean of its divisors is an integer number (592304832).

Almost surely, 213201442144 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 13201442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215315968).

13201442144 is an abundant number, since it is smaller than the sum of its proper divisors (15229189792).

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

13201442144 is a wasteful number, since it uses less digits than its factorization.

13201442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102579 (or 102571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13201442144 its reverse (44124410231), we get a palindrome (57325852375).

The spelling of 13201442144 in words is "thirteen billion, two hundred one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 367 734 1468 2936 4037 5872 8074 11744 16148 32296 64592 102191 129184 204382 408764 817528 1124101 1635056 2248202 3270112 4496404 8992808 17985616 35971232 37504097 75008194 150016388 300032776 412545067 600065552 825090134 1200131104 1650180268 3300360536 6600721072 13201442144