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14080218148125 = 32549725805669
BaseRepresentation
bin1100110011100100111001…
…1001101010110100011101
31211212001111121112002201200
43030321032121222310131
53321142241321220000
645540210220230113
72652155634353403
oct314711631526435
954761447462650
1014080218148125
11453942908a678
1216b4a1069b339
137b19b332859c
143696b4191473
151963d360d500
hexcce4e66ad1d

14080218148125 has 60 divisors (see below), whose sum is σ = 25676486815980. Its totient is φ = 7432032384000.

The previous prime is 14080218148019. The next prime is 14080218148163. The reversal of 14080218148125 is 52184181208041.

14080218148125 is a `hidden beast` number, since 1 + 408 + 0 + 2 + 1 + 81 + 48 + 125 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9892113199929 + 4188104948196 = 3145173^2 + 2046486^2 .

It is not a de Polignac number, because 14080218148125 - 28 = 14080218147869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12357210 + ... + 13448459.

It is an arithmetic number, because the mean of its divisors is an integer number (427941446933).

Almost surely, 214080218148125 is an apocalyptic number.

14080218148125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14080218148125 is a deficient number, since it is larger than the sum of its proper divisors (11596268667855).

14080218148125 is an equidigital number, since it uses as much as digits as its factorization.

14080218148125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25805792 (or 25805774 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 14080218148125 in words is "fourteen trillion, eighty billion, two hundred eighteen million, one hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 97 125 225 291 375 485 625 873 1125 1455 1875 2425 4365 5625 7275 12125 21825 36375 60625 109125 181875 545625 25805669 77417007 129028345 232251021 387085035 645141725 1161255105 1935425175 2503149893 3225708625 5806275525 7509449679 9677125875 12515749465 16128543125 22528349037 29031377625 37547248395 48385629375 62578747325 112641745185 145156888125 187736241975 312893736625 563208725925 938681209875 1564468683125 2816043629625 4693406049375 14080218148125