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14014023440 = 24517103100043
BaseRepresentation
bin11010000110100110…
…10000011100010000
31100011122212011010012
431003103100130100
5212200042222230
610234333054052
71004165143124
oct150323203420
940148764105
1014014023440
115a4160725a
122871327328
1314244abb81
1496d2c7584
155704a3395
hex3434d0710

14014023440 has 80 divisors (see below), whose sum is σ = 34834520448. Its totient is φ = 5224593408.

The previous prime is 14014023437. The next prime is 14014023449. The reversal of 14014023440 is 4432041041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14014023449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90059 + ... + 190101.

Almost surely, 214014023440 is an apocalyptic number.

14014023440 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 14014023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417260224).

14014023440 is an abundant number, since it is smaller than the sum of its proper divisors (20820497008).

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

14014023440 is a wasteful number, since it uses less digits than its factorization.

14014023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100176 (or 100170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14014023440 its reverse (4432041041), we get a palindrome (18446064481).

The spelling of 14014023440 in words is "fourteen billion, fourteen million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 103 136 170 206 272 340 412 515 680 824 1030 1360 1648 1751 2060 3502 4120 7004 8240 8755 14008 17510 28016 35020 70040 100043 140080 200086 400172 500215 800344 1000430 1600688 1700731 2000860 3401462 4001720 6802924 8003440 8503655 10304429 13605848 17007310 20608858 27211696 34014620 41217716 51522145 68029240 82435432 103044290 136058480 164870864 175175293 206088580 350350586 412177160 700701172 824354320 875876465 1401402344 1751752930 2802804688 3503505860 7007011720 14014023440