Search a number
-
+
14067871125 = 3537112112309
BaseRepresentation
bin11010001101000001…
…01010110110010101
31100022102011220020220
431012200222312111
5212302333334000
610243535144553
71005420634350
oct150640526625
940272156226
1014067871125
115a69a45880
122887375159
1314326b36c9
14976503297
1557508d1a0
hex34682ad95

14067871125 has 128 divisors (see below), whose sum is σ = 29336186880. Its totient is φ = 5816160000.

The previous prime is 14067871123. The next prime is 14067871159. The reversal of 14067871125 is 52117876041.

It is not a de Polignac number, because 14067871125 - 21 = 14067871123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14067871123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6091471 + ... + 6093779.

It is an arithmetic number, because the mean of its divisors is an integer number (229188960).

Almost surely, 214067871125 is an apocalyptic number.

14067871125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14067871125 is an abundant number, since it is smaller than the sum of its proper divisors (15268315755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14067871125 is a wasteful number, since it uses less digits than its factorization.

14067871125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 14067871125 in words is "fourteen billion, sixty-seven million, eight hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 211 231 275 375 385 525 633 825 875 1055 1155 1375 1477 1925 2309 2321 2625 3165 4125 4431 5275 5775 6927 6963 7385 9625 11545 11605 15825 16163 16247 22155 25399 26375 28875 34635 34815 36925 48489 48741 57725 58025 76197 79125 80815 81235 110775 126995 173175 174075 177793 184625 242445 243705 288625 290125 380985 404075 406175 487199 533379 553875 634975 865875 870375 888965 1212225 1218525 1461597 1904925 2020375 2030875 2435995 2666895 3174875 3410393 4444825 5359189 6061125 6092625 7307985 9524625 10231179 12179975 13334475 16077567 17051965 22224125 26795945 36539925 37514323 51155895 60899875 66672375 80387835 85259825 112542969 133979725 182699625 187571615 255779475 401939175 426299125 562714845 669898625 937858075 1278897375 2009695875 2813574225 4689290375 14067871125