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11414400300 = 22325212682667
BaseRepresentation
bin10101010000101100…
…11110110100101100
31002110111012121120200
422220112132310230
5141334041302200
65124350113500
7552600541662
oct125026366454
932414177520
1011414400300
114928149986
1222667ab890
1310cba3b624
147a3d42c32
1546c149800
hex2a859ed2c

11414400300 has 54 divisors (see below), whose sum is σ = 35777806428. Its totient is φ = 3043839840.

The previous prime is 11414400293. The next prime is 11414400311. The reversal of 11414400300 is 300441411.

11414400300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6340434 + ... + 6342233.

Almost surely, 211414400300 is an apocalyptic number.

11414400300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414400300 is an abundant number, since it is smaller than the sum of its proper divisors (24363406128).

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

11414400300 is a wasteful number, since it uses less digits than its factorization.

11414400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682687 (or 12682677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11414400300 its reverse (300441411), we get a palindrome (11714841711).

The spelling of 11414400300 in words is "eleven billion, four hundred fourteen million, four hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12682667 25365334 38048001 50730668 63413335 76096002 114144003 126826670 152192004 190240005 228288006 253653340 317066675 380480010 456576012 570720015 634133350 760960020 951200025 1141440030 1268266700 1902400050 2282880060 2853600075 3804800100 5707200150 11414400300