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14021111104 = 26711131911519
BaseRepresentation
bin11010000111011100…
…10010110101000000
31100012011012020120021
431003232102311000
5212203401023404
610235145023224
71004312322640
oct150356226500
940164166507
1014021111104
115a45608330
122873784b14
131425ac0c60
14970210520
15570e03454
hex343b92d40

14021111104 has 224 divisors, whose sum is σ = 39326515200. Its totient is φ = 4776744960.

The previous prime is 14021111099. The next prime is 14021111119. The reversal of 14021111104 is 40111112041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×140211111043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211457 + ... + 1222975.

It is an arithmetic number, because the mean of its divisors is an integer number (175564800).

Almost surely, 214021111104 is an apocalyptic number.

14021111104 is a gapful number since it is divisible by the number (14) 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 14021111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663257600).

14021111104 is an abundant number, since it is smaller than the sum of its proper divisors (25305404096).

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

14021111104 is a wasteful number, since it uses less digits than its factorization.

14021111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 14021111104 its reverse (40111112041), we get a palindrome (54132223145).

The spelling of 14021111104 in words is "fourteen billion, twenty-one million, one hundred eleven thousand, one hundred four".