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11414444412 = 2237563241361
BaseRepresentation
bin10101010000101101…
…01001100101111100
31002110111021212002110
422220112221211330
5141334044210122
65124351054020
7552601114410
oct125026514574
932414255073
1011414444412
11492817a038
122266811310
1310cba55727
147a3d54d40
1546c15790c
hex2a85a997c

11414444412 has 48 divisors (see below), whose sum is σ = 30492709632. Its totient is φ = 3255463680.

The previous prime is 11414444411. The next prime is 11414444413. The reversal of 11414444412 is 21444441411.

11414444412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11414444411) and next prime (11414444413).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11414444412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414444411) 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 15 ways as a sum of consecutive naturals, for example, 73389 + ... + 167972.

It is an arithmetic number, because the mean of its divisors is an integer number (635264784).

Almost surely, 211414444412 is an apocalyptic number.

11414444412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11414444412 is an abundant number, since it is smaller than the sum of its proper divisors (19078265220).

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

11414444412 is a wasteful number, since it uses less digits than its factorization.

11414444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241938 (or 241936 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 11414444412 its reverse (21444441411), we get a palindrome (32858885823).

The spelling of 11414444412 in words is "eleven billion, four hundred fourteen million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 563 1126 1689 2252 3378 3941 6756 7882 11823 15764 23646 47292 241361 482722 724083 965444 1448166 1689527 2896332 3379054 5068581 6758108 10137162 20274324 135886243 271772486 407658729 543544972 815317458 951203701 1630634916 1902407402 2853611103 3804814804 5707222206 11414444412