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14344233244341 = 37111321919338601
BaseRepresentation
bin1101000010111100011011…
…1011010101011010110101
31212210021222021111121112120
43100233012323111122311
53340003442202304331
650301352204110153
73010223320555110
oct320570673253265
955707867447476
1014344233244341
11463039a793070
121738012835359
13800869b80700
1437839c089577
1519d1d6a3d796
hexd0bc6ed56b5

14344233244341 has 96 divisors (see below), whose sum is σ = 27179244794880. Its totient is φ = 6516334656000.

The previous prime is 14344233244337. The next prime is 14344233244387.

14344233244341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14344233244341 - 22 = 14344233244337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14344233244293 and 14344233244302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344233244301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8927560 + ... + 10411041.

It is an arithmetic number, because the mean of its divisors is an integer number (283117133280).

Almost surely, 214344233244341 is an apocalyptic number.

14344233244341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14344233244341 is a deficient number, since it is larger than the sum of its proper divisors (12835011550539).

14344233244341 is a wasteful number, since it uses less digits than its factorization.

14344233244341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338667 (or 19338654 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 1434423 and 3244341, that added together give a palindrome (4678764).

The spelling of 14344233244341 in words is "fourteen trillion, three hundred forty-four billion, two hundred thirty-three million, two hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 169 209 231 247 273 399 429 507 627 741 1001 1183 1463 1729 1859 2717 3003 3211 3549 4389 5187 5577 8151 9633 13013 19019 22477 35321 39039 57057 67431 105963 247247 741741 19338601 58015803 135370207 212724611 251401813 367433419 406110621 638173833 754205439 1102300257 1489072277 1759812691 2572033933 2765419943 3268223569 4041767609 4467216831 4776634447 5279438073 7716101799 8296259829 9804670707 12125302827 14329903341 19357939601 22877564983 28292373263 33436441129 35950459259 52542978917 58073818803 62096247811 68632694949 84877119789 100309323387 107851377777 157628936751 186288743433 251653214813 367800852419 434673734677 683058725921 754959644439 1103402557257 1304021204031 2049176177763 4781411081447 14344233244341