Search a number
-
+
214121555115325 = 521113120714961821
BaseRepresentation
bin110000101011111000001111…
…001110110011110100111101
31001002010211011022221200000021
4300223320033032303310331
5211031131421102142300
62035222030124332141
763046525513266454
oct6053701716636475
91032124138850007
10214121555115325
11622534947a8230
12200222376a4051
139262764648c70
143ac3777b67b9b
1519b4bd6727d1a
hexc2be0f3b3d3d

214121555115325 has 48 divisors (see below), whose sum is σ = 311954591878272. Its totient is φ = 143734001760000.

The previous prime is 214121555115101. The next prime is 214121555115359. The reversal of 214121555115325 is 523511555121412.

It is a happy number.

It is not a de Polignac number, because 214121555115325 - 237 = 213984116161853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40672915 + ... + 45634735.

It is an arithmetic number, because the mean of its divisors is an integer number (6499053997464).

Almost surely, 2214121555115325 is an apocalyptic number.

214121555115325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214121555115325 is a deficient number, since it is larger than the sum of its proper divisors (97833036762947).

214121555115325 is a wasteful number, since it uses less digits than its factorization.

214121555115325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973926 (or 4973921 counting only the distinct ones).

The product of its digits is 300000, while the sum is 43.

The spelling of 214121555115325 in words is "two hundred fourteen trillion, one hundred twenty-one billion, five hundred fifty-five million, one hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 143 275 325 715 3575 12071 60355 132781 156923 301775 663905 784615 1726153 3319525 3923075 4961821 8630765 24809105 43153825 54580031 64503673 124045525 272900155 322518365 709540403 1364500775 1612591825 3547702015 17738510075 59894141291 299470706455 658835554201 778623836783 1497353532275 3294177771005 3893119183915 8564862204613 16470888855025 19465595919575 42824311023065 214121555115325