Search a number
-
+
14529820827330 = 2325348889462733
BaseRepresentation
bin1101001101101111110011…
…0011110001111011000010
31220110001000012021122200100
43103123330303301323002
53401024033112433310
650522524010103230
73026513335154454
oct323337463617302
956401005248610
1014529820827330
1146a207607a026
121767b8771ab16
138152052c2683
14383365dba2d4
151a2e49a66ec0
hexd36fccf1ec2

14529820827330 has 48 divisors (see below), whose sum is σ = 37777724070840. Its totient is φ = 3874599408384.

The previous prime is 14529820827329. The next prime is 14529820827359. The reversal of 14529820827330 is 3372802892541.

14529820827330 is a `hidden beast` number, since 1 + 4 + 52 + 98 + 208 + 273 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9568746168921 + 4961074658409 = 3093339^2 + 2227347^2 .

It is a super-2 number, since 2×145298208273302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31168644 + ... + 31631376.

Almost surely, 214529820827330 is an apocalyptic number.

14529820827330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14529820827330 is an abundant number, since it is smaller than the sum of its proper divisors (23247903243510).

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

14529820827330 is a wasteful number, since it uses less digits than its factorization.

14529820827330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811635 (or 811632 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 14529820827330 in words is "fourteen trillion, five hundred twenty-nine billion, eight hundred twenty million, eight hundred twenty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 348889 462733 697778 925466 1046667 1388199 1744445 2093334 2313665 2776398 3140001 3488890 4164597 4627330 5233335 6280002 6940995 8329194 10466670 13881990 15700005 20822985 31400010 41645970 161442453637 322884907274 484327360911 807212268185 968654721822 1452982082733 1614424536370 2421636804555 2905964165466 4843273609110 7264910413665 14529820827330