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14001351540 = 22351121214169
BaseRepresentation
bin11010000101000101…
…11010101101110100
31100010210000100112120
431002202322231310
5212133321222130
610233201315540
71003652344611
oct150242725564
940123010476
1014001351540
115a35441710
122869035bb0
1314219930c7
1496b749508
1556e2ed910
hex3428bab74

14001351540 has 48 divisors (see below), whose sum is σ = 42767766720. Its totient is φ = 3394266880.

The previous prime is 14001351523. The next prime is 14001351547. The reversal of 14001351540 is 4515310041.

It is a happy number.

14001351540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14001351540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001351547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10606425 + ... + 10607744.

It is an arithmetic number, because the mean of its divisors is an integer number (890995140).

Almost surely, 214001351540 is an apocalyptic number.

14001351540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001351540 is an abundant number, since it is smaller than the sum of its proper divisors (28766415180).

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

14001351540 is a wasteful number, since it uses less digits than its factorization.

14001351540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21214192 (or 21214190 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 14001351540 its reverse (4515310041), we get a palindrome (18516661581).

The spelling of 14001351540 in words is "fourteen billion, one million, three hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 21214169 42428338 63642507 84856676 106070845 127285014 212141690 233355859 254570028 318212535 424283380 466711718 636425070 700067577 933423436 1166779295 1272850140 1400135154 2333558590 2800270308 3500337885 4667117180 7000675770 14001351540