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14103300330141 = 3111737679447913
BaseRepresentation
bin1100110100111010111000…
…1101001101001010011101
31211221021002020201102211220
43031032232031031022131
53322032024341031031
645554544451403553
72653633633564611
oct315165615151235
954837066642756
1014103300330141
1145481a3400660
1216b93928b35b9
137b3c21430059
1436a863953341
15196cd4c53596
hexcd3ae34d29d

14103300330141 has 32 divisors (see below), whose sum is σ = 22307633912448. Its totient is φ = 7827239946240.

The previous prime is 14103300330113. The next prime is 14103300330143.

14103300330141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14103300330141 - 213 = 14103300321949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103300330143) 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, 339703200 + ... + 339744713.

It is an arithmetic number, because the mean of its divisors is an integer number (697113559764).

Almost surely, 214103300330141 is an apocalyptic number.

14103300330141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14103300330141 is a deficient number, since it is larger than the sum of its proper divisors (8204333582307).

14103300330141 is a wasteful number, since it uses less digits than its factorization.

14103300330141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679447981.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 14103300 and 330141, that added together give a palindrome (14433441).

The spelling of 14103300330141 in words is "fourteen trillion, one hundred three billion, three hundred million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 679447913 2038343739 7473927043 11550614521 22421781129 25139572781 34651843563 75418718343 127056759731 276535300591 381170279193 427372737277 829605901773 1282118211831 4701100110047 14103300330141