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14141220468 = 22329281144611
BaseRepresentation
bin11010010101110000…
…11110011001110100
31100111112012102122020
431022320132121310
5212430123023333
610255115233140
71010301251004
oct151270363164
940445172566
1014141220468
115aa7394271
1228a7a487b0
13144495589b
14982158004
1557b72b3b3
hex34ae1e674

14141220468 has 48 divisors (see below), whose sum is σ = 34255690560. Its totient is φ = 4534969600.

The previous prime is 14141220463. The next prime is 14141220469. The reversal of 14141220468 is 86402214141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141220463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25483 + ... + 170093.

It is an arithmetic number, because the mean of its divisors is an integer number (713660220).

Almost surely, 214141220468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141220468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127845280).

14141220468 is an abundant number, since it is smaller than the sum of its proper divisors (20114470092).

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

14141220468 is a wasteful number, since it uses less digits than its factorization.

14141220468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144928 (or 144926 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 14141220468 in words is "fourteen billion, one hundred forty-one million, two hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 281 348 562 843 1124 1686 3372 8149 16298 24447 32596 48894 97788 144611 289222 433833 578444 867666 1735332 4193719 8387438 12581157 16774876 25162314 40635691 50324628 81271382 121907073 162542764 243814146 487628292 1178435039 2356870078 3535305117 4713740156 7070610234 14141220468