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14426412100 = 2252120112
BaseRepresentation
bin11010110111110000…
…11001010001000100
31101020101211200000021
431123320121101010
5214021130141400
610343304024524
71020333323332
oct153370312104
941211750007
1014426412100
116133373a31
122967462144
13148ba6a329
149abd94b52
155967b271a
hex35be19444

14426412100 has 27 divisors (see below), whose sum is σ = 31307920861. Its totient is φ = 5770084400.

The previous prime is 14426412089. The next prime is 14426412101. The reversal of 14426412100 is 121462441.

The square root of 14426412100 is 120110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5193508356 + 9232903744 = 72066^2 + 96088^2 .

It is a super-3 number, since 3×144264121003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14426412101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1195095 + ... + 1207105.

Almost surely, 214426412100 is an apocalyptic number.

14426412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14426412100 is the 120110-th square number.

It is an amenable number.

14426412100 is an abundant number, since it is smaller than the sum of its proper divisors (16881508761).

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

14426412100 is an frugal number, since it uses more digits than its factorization.

14426412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24036 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 14426412100 by its sum of digits (25), we get a square (360660302500 = 6005502).

14426412100 divided by its sum of digits (25) gives a square (577056484 = 240222).

Adding to 14426412100 its reverse (121462441), we get a palindrome (14547874541).

The spelling of 14426412100 in words is "fourteen billion, four hundred twenty-six million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12011 24022 48044 60055 120110 240220 300275 600550 1201100 144264121 288528242 577056484 721320605 1442641210 2885282420 3606603025 7213206050 14426412100