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14008032200 = 235283692
BaseRepresentation
bin11010000101111000…
…11001101111001000
31100011020120202200102
431002330121233020
5212142024012300
610234000424532
71004063211011
oct150274315710
940136522612
1014008032200
115a39194a18
12286b318148
131423191b66
1496c5a8008
1556ebbd0d5
hex342f19bc8

14008032200 has 36 divisors (see below), whose sum is σ = 32572566915. Its totient is φ = 5602543360.

The previous prime is 14008032187. The next prime is 14008032221. The reversal of 14008032200 is 223080041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14008032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8256629956 + 5751402244 = 90866^2 + 75838^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83690.

It is a super-2 number, since 2×140080322002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 8 ways as a sum of consecutive naturals, for example, 1669616 + ... + 1677984.

Almost surely, 214008032200 is an apocalyptic number.

14008032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14008032200 is an abundant number, since it is smaller than the sum of its proper divisors (18564534715).

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

14008032200 is an frugal number, since it uses more digits than its factorization.

14008032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16754 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The spelling of 14008032200 in words is "fourteen billion, eight million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8369 16738 33476 41845 66952 83690 167380 209225 334760 418450 836900 1673800 70040161 140080322 280160644 350200805 560321288 700401610 1400803220 1751004025 2801606440 3502008050 7004016100 14008032200