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14355200255341 = 119071951737483
BaseRepresentation
bin1101000011100101010010…
…0111001010010101101101
31212211100021120212111101011
43100321110213022111231
53340143422231132331
650310404333145221
73011062146613111
oct320712447122555
955740246774334
1014355200255341
114635008339820
12173a17362b211
138018c6cc772a
14378b1c80d741
1519d6297633b1
hexd0e549ca56d

14355200255341 has 16 divisors (see below), whose sum is σ = 15685541296128. Its totient is φ = 13029094494000.

The previous prime is 14355200255339. The next prime is 14355200255399.

14355200255341 is nontrivially palindromic in base 10.

14355200255341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14355200255341 - 21 = 14355200255339 is a prime.

It is a super-3 number, since 3×143552002553413 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14355200255294 and 14355200255303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14355200255311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19096386 + ... + 19833868.

It is an arithmetic number, because the mean of its divisors is an integer number (980346331008).

Almost surely, 214355200255341 is an apocalyptic number.

14355200255341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14355200255341 is a deficient number, since it is larger than the sum of its proper divisors (1330341040787).

14355200255341 is a wasteful number, since it uses less digits than its factorization.

14355200255341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740352.

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 14355200255341 in words is "fourteen trillion, three hundred fifty-five billion, two hundred million, two hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 11 907 1951 9977 21461 737483 1769557 8112313 19465127 668897081 1438829333 7357867891 15827122663 1305018205031 14355200255341