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11442440340 = 2232563569113
BaseRepresentation
bin10101010100000010…
…11100100010010100
31002112102222012021200
422222001130202110
5141413231042330
65131231112500
7553361065242
oct125201344224
932472865250
1011442440340
114941a60871
122274072730
1311047a8476
147a7961792
1546e837a60
hex2aa05c894

11442440340 has 36 divisors (see below), whose sum is σ = 34708736244. Its totient is φ = 3051317376.

The previous prime is 11442440311. The next prime is 11442440377. The reversal of 11442440340 is 4304424411.

It can be written as a sum of positive squares in 2 ways, for example, as 8820590724 + 2621849616 = 93918^2 + 51204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31784377 + ... + 31784736.

Almost surely, 211442440340 is an apocalyptic number.

11442440340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442440340 is an abundant number, since it is smaller than the sum of its proper divisors (23266295904).

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

11442440340 is a wasteful number, since it uses less digits than its factorization.

11442440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63569128 (or 63569123 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11442440340 its reverse (4304424411), we get a palindrome (15746864751).

The spelling of 11442440340 in words is "eleven billion, four hundred forty-two million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 63569113 127138226 190707339 254276452 317845565 381414678 572122017 635691130 762829356 953536695 1144244034 1271382260 1907073390 2288488068 2860610085 3814146780 5721220170 11442440340