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14401113440401 = 37537343760041
BaseRepresentation
bin1101000110010000010101…
…0000000100000010010001
31212222201210100121221211201
43101210011100010002101
53341421440020043101
650343440304111201
73014306005343362
oct321440520040221
955881710557751
1014401113440401
114652529112266
121747047905501
1380603316a75c
1437b03646bb69
1519e915434e01
hexd1905404091

14401113440401 has 8 divisors (see below), whose sum is σ = 15069395606184. Its totient is φ = 13747518794880.

The previous prime is 14401113440347. The next prime is 14401113440423. The reversal of 14401113440401 is 10404431110441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7819713140625 + 6581400299776 = 2796375^2 + 2565424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14401113440401 - 241 = 12202090184849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14401113440401.

It is not an unprimeable number, because it can be changed into a prime (14401113440491) 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 7 ways as a sum of consecutive naturals, for example, 3671878060 + ... + 3671881981.

It is an arithmetic number, because the mean of its divisors is an integer number (1883674450773).

Almost surely, 214401113440401 is an apocalyptic number.

It is an amenable number.

14401113440401 is a deficient number, since it is larger than the sum of its proper divisors (668282165783).

14401113440401 is an equidigital number, since it uses as much as digits as its factorization.

14401113440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343760131.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14401113440401 its reverse (10404431110441), we get a palindrome (24805544550842).

The spelling of 14401113440401 in words is "fourteen trillion, four hundred one billion, one hundred thirteen million, four hundred forty thousand, four hundred one".

Divisors: 1 37 53 1961 7343760041 271719121517 389219282173 14401113440401