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13114141310141 = 149146009602801
BaseRepresentation
bin1011111011010101111110…
…1110111111110010111101
31201102200220001111212011122
42332311133232333302331
53204330230133411031
643520315305000325
72522315434623344
oct276653756776275
951380801455148
1013114141310141
1141a6748980473
1215797374830a5
137418731524a1
14334a29224b5b
1517b1e011947b
hexbed5fbbfcbd

13114141310141 has 8 divisors (see below), whose sum is σ = 13202268003000. Its totient is φ = 13026016115200.

The previous prime is 13114141310119. The next prime is 13114141310201. The reversal of 13114141310141 is 14101314141131.

It can be written as a sum of positive squares in 4 ways, for example, as 2968298265625 + 10145843044516 = 1722875^2 + 3185254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13114141310141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13114141310141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114141310041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21453941 + ... + 22056741.

It is an arithmetic number, because the mean of its divisors is an integer number (1650283500375).

Almost surely, 213114141310141 is an apocalyptic number.

It is an amenable number.

13114141310141 is a deficient number, since it is larger than the sum of its proper divisors (88126692859).

13114141310141 is a wasteful number, since it uses less digits than its factorization.

13114141310141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748959.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 13114141310141 its reverse (14101314141131), we get a palindrome (27215455451272).

The spelling of 13114141310141 in words is "thirteen trillion, one hundred fourteen billion, one hundred forty-one million, three hundred ten thousand, one hundred forty-one".

Divisors: 1 149 146009 602801 21755341 89817349 88014371209 13114141310141