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1311442048 = 27713111173
BaseRepresentation
bin100111000101011…
…0000010010000000
310101101201011021201
41032022300102000
510141212121143
6334044430544
744333034130
oct11612602200
93341634251
101311442048
11613302904
12307248454
1317b913017
14c625cac0
157a20064d
hex4e2b0480

1311442048 has 64 divisors (see below), whose sum is σ = 3008934720. Its totient is φ = 557706240.

The previous prime is 1311442021. The next prime is 1311442049. The reversal of 1311442048 is 8402441131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1311442049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111790 + ... + 122962.

It is an arithmetic number, because the mean of its divisors is an integer number (47014605).

Almost surely, 21311442048 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 1311442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504467360).

1311442048 is an abundant number, since it is smaller than the sum of its proper divisors (1697492672).

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

1311442048 is a wasteful number, since it uses less digits than its factorization.

1311442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11313 counting only the distinct ones).

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

The square root of 1311442048 is about 36213.8377971736. The cubic root of 1311442048 is about 1094.5855267815.

Adding to 1311442048 its reverse (8402441131), we get a palindrome (9713883179).

The spelling of 1311442048 in words is "one billion, three hundred eleven million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 896 917 1048 1834 2096 3668 4192 7336 8384 11173 14672 16768 22346 29344 44692 58688 78211 89384 117376 156422 178768 312844 357536 625688 715072 1251376 1430144 1463663 2502752 2927326 5005504 5854652 10011008 10245641 11709304 20491282 23418608 40982564 46837216 81965128 93674432 163930256 187348864 327860512 655721024 1311442048