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14102511520141 = 1173137128191831
BaseRepresentation
bin1100110100110111111100…
…1100001000100110001101
31211221012001021102201221201
43031031333030020212031
53322023420422121031
645554334312425501
72653605245035162
oct315157714104615
954835037381851
1014102511520141
114547929112a70
1216b91b26a8291
137b3b26b97585
1436a7cac9c069
15196c8a88bd61
hexcd37f30898d

14102511520141 has 16 divisors (see below), whose sum is σ = 15709139860608. Its totient is φ = 12552543993600.

The previous prime is 14102511520109. The next prime is 14102511520177.

14102511520141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14102511520141 - 25 = 14102511520109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102511520441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63985905 + ... + 64205926.

It is an arithmetic number, because the mean of its divisors is an integer number (981821241288).

Almost surely, 214102511520141 is an apocalyptic number.

14102511520141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14102511520141 is a deficient number, since it is larger than the sum of its proper divisors (1606628340467).

14102511520141 is a wasteful number, since it uses less digits than its factorization.

14102511520141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128192052.

The product of its (nonzero) digits is 1600, while the sum is 28.

It can be divided in two parts, 1410251 and 1520141, that added together give a palindrome (2930392).

The spelling of 14102511520141 in words is "fourteen trillion, one hundred two billion, five hundred eleven million, five hundred twenty thousand, one hundred forty-one".

Divisors: 1 11 73 137 803 1507 10001 110011 128191831 1410110141 9358003663 17562280847 102938040293 193185089317 1282046501831 14102511520141