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14431542400401 = 371997372879167
BaseRepresentation
bin1101001000000001101011…
…1101010101010110010001
31220002122100000002021201020
43102000122331111112101
53342421244323303101
650405431542230053
73016434034261440
oct322003275252621
956078300067636
1014431542400401
114664423501295
121750b1a425329
13808b72373929
1437c6c1858d57
151a05e6a43136
hexd201af55591

14431542400401 has 32 divisors (see below), whose sum is σ = 23386981416960. Its totient is φ = 7732022386176.

The previous prime is 14431542400397. The next prime is 14431542400409. The reversal of 14431542400401 is 10400424513441.

It is not a de Polignac number, because 14431542400401 - 22 = 14431542400397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14431542400409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186400881 + ... + 186478286.

It is an arithmetic number, because the mean of its divisors is an integer number (730843169280).

Almost surely, 214431542400401 is an apocalyptic number.

It is an amenable number.

14431542400401 is a deficient number, since it is larger than the sum of its proper divisors (8955439016559).

14431542400401 is a wasteful number, since it uses less digits than its factorization.

14431542400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372879293.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 14431542400401 its reverse (10400424513441), we get a palindrome (24831966913842).

The spelling of 14431542400401 in words is "fourteen trillion, four hundred thirty-one billion, five hundred forty-two million, four hundred thousand, four hundred one".

Divisors: 1 3 7 19 21 57 97 133 291 399 679 1843 2037 5529 12901 38703 372879167 1118637501 2610154169 7084704173 7830462507 21254112519 36169279199 49592929211 108507837597 148778787633 253184954393 687216304781 759554863179 2061648914343 4810514133467 14431542400401