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11414432420 = 2252281725013
BaseRepresentation
bin10101010000101101…
…00110101010100100
31002110111021020122022
422220112212222210
5141334043314140
65124350522312
7552601034426
oct125026465244
932414236568
1011414432420
114928171026
122266806398
1310cba50131
147a3d50816
1546c1540b5
hex2a85a6aa4

11414432420 has 24 divisors (see below), whose sum is σ = 23972316984. Its totient is φ = 4565390336.

The previous prime is 11414432389. The next prime is 11414432429. The reversal of 11414432420 is 2423441411.

It can be written as a sum of positive squares in 4 ways, for example, as 8453331364 + 2961101056 = 91942^2 + 54416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11414432420.

It is not an unprimeable number, because it can be changed into a prime (11414432429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443834 + ... + 468846.

It is an arithmetic number, because the mean of its divisors is an integer number (998846541).

Almost surely, 211414432420 is an apocalyptic number.

11414432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414432420 is an abundant number, since it is smaller than the sum of its proper divisors (12557884564).

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

11414432420 is a wasteful number, since it uses less digits than its factorization.

11414432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47839 (or 47837 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11414432420 its reverse (2423441411), we get a palindrome (13837873831).

The spelling of 11414432420 in words is "eleven billion, four hundred fourteen million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 22817 25013 45634 50026 91268 100052 114085 125065 228170 250130 456340 500260 570721621 1141443242 2282886484 2853608105 5707216210 11414432420