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14201185328 = 2411211516373
BaseRepresentation
bin11010011100111010…
…01110010000110000
31100122201000221221222
431032131032100300
5213041000412303
610305100404212
71011630040451
oct151635162060
940581027858
1014201185328
116028220800
122903b46668
1314541bc855
1498a0c7128
15581b23938
hex34e74e430

14201185328 has 60 divisors (see below), whose sum is σ = 30274562304. Its totient is φ = 6448464000.

The previous prime is 14201185307. The next prime is 14201185351. The reversal of 14201185328 is 82358110241.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2225150 + ... + 2231522.

Almost surely, 214201185328 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 14201185328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137281152).

14201185328 is an abundant number, since it is smaller than the sum of its proper divisors (16073376976).

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

14201185328 is a wasteful number, since it uses less digits than its factorization.

14201185328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

Adding to 14201185328 its reverse (82358110241), we get a palindrome (96559295569).

The spelling of 14201185328 in words is "fourteen billion, two hundred one million, one hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1151 1936 2302 4604 6373 9208 12661 12746 18416 25322 25492 50644 50984 70103 101288 101968 139271 140206 202576 278542 280412 557084 560824 771133 1114168 1121648 1542266 2228336 3084532 6169064 7335323 12338128 14670646 29341292 58682584 80688553 117365168 161377106 322754212 645508424 887574083 1291016848 1775148166 3550296332 7100592664 14201185328