Search a number
-
+
13445544211125 = 353134576035143
BaseRepresentation
bin1100001110101000100011…
…1000101111001010110101
31202121101022002112112122120
43003222020320233022311
53230242433304224000
644332444151150153
72555260056042135
oct303521070571265
952541262475576
1013445544211125
114314250200aa4
121611a05675359
13766ba8b9c1c0
14346aa6c3aac5
15184b3966b6a0
hexc3a88e2f2b5

13445544211125 has 64 divisors (see below), whose sum is σ = 24147142236672. Its totient is φ = 6604859404800.

The previous prime is 13445544211087. The next prime is 13445544211163. The reversal of 13445544211125 is 52111244554431.

13445544211125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13445544211087) and next prime (13445544211163).

It is not a de Polignac number, because 13445544211125 - 29 = 13445544210613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789697 + ... + 5245446.

It is an arithmetic number, because the mean of its divisors is an integer number (377299097448).

Almost surely, 213445544211125 is an apocalyptic number.

13445544211125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13445544211125 is a deficient number, since it is larger than the sum of its proper divisors (10701598025547).

13445544211125 is a wasteful number, since it uses less digits than its factorization.

13445544211125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035631 (or 6035621 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

Adding to 13445544211125 its reverse (52111244554431), we get a palindrome (65556788765556).

The spelling of 13445544211125 in words is "thirteen trillion, four hundred forty-five billion, five hundred forty-four million, two hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 457 975 1371 1625 2285 4875 5941 6855 11425 17823 29705 34275 57125 89115 148525 171375 445575 742625 2227875 6035143 18105429 30175715 78456859 90527145 150878575 235370577 392284295 452635725 754392875 1176852885 1961421475 2263178625 2758060351 5884264425 8274181053 9807107375 13790301755 29421322125 35854784563 41370905265 68951508775 107564353689 179273922815 206854526325 344757543875 537821768445 896369614075 1034272631625 2689108842225 4481848070375 13445544211125