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14105311350141 = 3113279831303219
BaseRepresentation
bin1100110101000010011000…
…0100101000110101111101
31211221110021101210211200010
43031100212010220311331
53322100134201201031
645555520210453433
72654034523144644
oct315204604506575
954843241724603
1014105311350141
114549035594760
1216b9854294279
137b4181c6530b
1436a9b4a7a35b
15196da1591246
hexcd426128d7d

14105311350141 has 16 divisors (see below), whose sum is σ = 20516894807040. Its totient is φ = 8548640921520.

The previous prime is 14105311350131. The next prime is 14105311350199.

14105311350141 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14105311350141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14105311350099 and 14105311350108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14105311350131) 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, 10171830 + ... + 11475048.

It is an arithmetic number, because the mean of its divisors is an integer number (1282305925440).

Almost surely, 214105311350141 is an apocalyptic number.

14105311350141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14105311350141 is a deficient number, since it is larger than the sum of its proper divisors (6411583456899).

14105311350141 is a wasteful number, since it uses less digits than its factorization.

14105311350141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631216.

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 1410531 and 1350141, that added together give a palindrome (2760672).

The spelling of 14105311350141 in words is "fourteen trillion, one hundred five billion, three hundred eleven million, three hundred fifty thousand, one hundred forty-one".

Divisors: 1 3 11 33 327983 983949 1303219 3607813 3909657 10823439 14335409 43006227 427433677277 1282301031831 4701770450047 14105311350141