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13421442112 = 2613113142757
BaseRepresentation
bin11000111111111101…
…01111010001000000
31021122100210220100121
430133332233101000
5204441342121422
610055444030024
7653411242561
oct143776572100
937570726317
1013421442112
115768066121
122726992314
13135b7acc30
14914712168
1553844d8c7
hex31ffaf440

13421442112 has 56 divisors (see below), whose sum is σ = 28935904536. Its totient is φ = 6139650048.

The previous prime is 13421442109. The next prime is 13421442161. The reversal of 13421442112 is 21124412431.

It can be written as a sum of positive squares in 4 ways, for example, as 927567936 + 12493874176 = 30456^2 + 111776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22638 + ... + 165394.

It is an arithmetic number, because the mean of its divisors is an integer number (516712581).

Almost surely, 213421442112 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 13421442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467952268).

13421442112 is an abundant number, since it is smaller than the sum of its proper divisors (15514462424).

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

13421442112 is a wasteful number, since it uses less digits than its factorization.

13421442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142895 (or 142885 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 13421442112 its reverse (21124412431), we get a palindrome (34545854543).

The spelling of 13421442112 in words is "thirteen billion, four hundred twenty-one million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 832 904 1469 1808 2938 3616 5876 7232 11752 23504 47008 94016 142757 285514 571028 1142056 1855841 2284112 3711682 4568224 7423364 9136448 14846728 16131541 29693456 32263082 59386912 64526164 118773824 129052328 209710033 258104656 419420066 516209312 838840132 1032418624 1677680264 3355360528 6710721056 13421442112