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14441021100 = 223252114333923
BaseRepresentation
bin11010111001100000…
…00111111010101100
31101021102022212210100
431130300013322230
5214033400133400
610344545111100
71020601440222
oct153460077254
941242285710
1014441021100
116140641990
122970328490
131491ab39cc
149adcb8b12
15597beb100
hex35cc07eac

14441021100 has 216 divisors, whose sum is σ = 50529390912. Its totient is φ = 3419337600.

The previous prime is 14441021083. The next prime is 14441021129. The reversal of 14441021100 is 112014441.

14441021100 is a `hidden beast` number, since 1 + 44 + 410 + 211 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408739 + ... + 442661.

Almost surely, 214441021100 is an apocalyptic number.

14441021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25264695456).

14441021100 is an abundant number, since it is smaller than the sum of its proper divisors (36088369812).

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

14441021100 is a wasteful number, since it uses less digits than its factorization.

14441021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33997 (or 33987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14441021100 its reverse (112014441), we get a palindrome (14553035541).

The spelling of 14441021100 in words is "fourteen billion, four hundred forty-one million, twenty-one thousand, one hundred".