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13341211440 = 243555588381
BaseRepresentation
bin11000110110011001…
…01011101100110000
31021102202211202120020
430123030223230300
5204310322231230
610043500243440
7651415266114
oct143314535460
937382752506
1013341211440
115726847687
122703b40580
131347c9b86b
14907bc9744
155313a1810
hex31b32bb30

13341211440 has 40 divisors (see below), whose sum is σ = 41357756208. Its totient is φ = 3557656320.

The previous prime is 13341211427. The next prime is 13341211447. The reversal of 13341211440 is 4411214331.

13341211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13341211440.

It is not an unprimeable number, because it can be changed into a prime (13341211447) by changing a digit.

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, 27793951 + ... + 27794430.

Almost surely, 213341211440 is an apocalyptic number.

13341211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13341211440 is an abundant number, since it is smaller than the sum of its proper divisors (28016544768).

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

13341211440 is a wasteful number, since it uses less digits than its factorization.

13341211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55588397 (or 55588391 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13341211440 its reverse (4411214331), we get a palindrome (17752425771).

The spelling of 13341211440 in words is "thirteen billion, three hundred forty-one million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 55588381 111176762 166765143 222353524 277941905 333530286 444707048 555883810 667060572 833825715 889414096 1111767620 1334121144 1667651430 2223535240 2668242288 3335302860 4447070480 6670605720 13341211440