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14346555564341 = 7111361234954481
BaseRepresentation
bin1101000011000101000101…
…0110010010000100110101
31212210111222010100200200102
43100301101112102010311
53340023221211024331
650302414443323445
73010335010140260
oct320612126220465
955714863320612
1014346555564341
1146313816694a0
121738560520585
13800b4a03bc60
1437853c687cd7
1519d2c086d4cb
hexd0c51592135

14346555564341 has 32 divisors (see below), whose sum is σ = 19578287076096. Its totient is φ = 10150033536000.

The previous prime is 14346555564323. The next prime is 14346555564347.

14346555564341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14346555564341 - 210 = 14346555563317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346555564347) 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, 117416180 + ... + 117538301.

It is an arithmetic number, because the mean of its divisors is an integer number (611821471128).

Almost surely, 214346555564341 is an apocalyptic number.

14346555564341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14346555564341 is a deficient number, since it is larger than the sum of its proper divisors (5231731511755).

14346555564341 is a wasteful number, since it uses less digits than its factorization.

14346555564341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234954573.

The product of its digits is 51840000, while the sum is 56.

It can be divided in two parts, 1434655 and 5564341, that added together give a palindrome (6998996).

The spelling of 14346555564341 in words is "fourteen trillion, three hundred forty-six billion, five hundred fifty-five million, five hundred sixty-four thousand, three hundred forty-one".

Divisors: 1 7 11 13 61 77 91 143 427 671 793 1001 4697 5551 8723 61061 234954481 1644681367 2584499291 3054408253 14332223341 18091495037 21380857771 33598490783 100325563387 157654456751 186318903433 235189435481 1103581197257 1304232324031 2049507937763 14346555564341