Search a number
-
+
13830118245 = 3254723732
BaseRepresentation
bin11001110000101011…
…01101101101100101
31022200211210210121200
430320111231231211
5211311002240440
610204203233113
7666503031306
oct147025555545
938624723550
1013830118245
115957817599
12281b818799
1313c536b628
14952ad47ad
1555e277c30
hex33856db65

13830118245 has 54 divisors (see below), whose sum is σ = 24558945138. Its totient is φ = 7199771328.

The previous prime is 13830118229. The next prime is 13830118261. The reversal of 13830118245 is 54281103831.

13830118245 is a `hidden beast` number, since 138 + 301 + 182 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (13830118229) and next prime (13830118261).

It can be written as a sum of positive squares in 3 ways, for example, as 1765512324 + 12064605921 = 42018^2 + 109839^2 .

It is not a de Polignac number, because 13830118245 - 24 = 13830118229 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 37077879 + ... + 37078251.

Almost surely, 213830118245 is an apocalyptic number.

13830118245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13830118245 is a deficient number, since it is larger than the sum of its proper divisors (10728826893).

13830118245 is an frugal number, since it uses more digits than its factorization.

13830118245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13830118245 in words is "thirteen billion, eight hundred thirty million, one hundred eighteen thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 47 141 235 373 423 705 1119 1865 2115 2209 3357 5595 6627 11045 16785 17531 19881 33135 52593 87655 99405 139129 157779 262965 417387 695645 788895 823957 1252161 2086935 2471871 4119785 6260805 6539063 7415613 12359355 19617189 32695315 37078065 58851567 98085945 294257835 307335961 922007883 1536679805 2766023649 4610039415 13830118245