Search a number
-
+
338719661241 = 313471731068149
BaseRepresentation
bin1001110110111010100…
…00111101110010111001
31012101021221210121122120
410323131100331302321
521022144213124431
6415334453511453
733320534421153
oct4733520756271
91171257717576
10338719661241
11120717466935
1255790642589
1325c3086b370
1412573669ad3
158c26a8b196
hex4edd43dcb9

338719661241 has 32 divisors (see below), whose sum is σ = 499586572800. Its totient is φ = 202828487424.

The previous prime is 338719661221. The next prime is 338719661261. The reversal of 338719661241 is 142166917833.

It is an interprime number because it is at equal distance from previous prime (338719661221) and next prime (338719661261).

It is not a de Polignac number, because 338719661241 - 218 = 338719399097 is a prime.

It is a super-2 number, since 2×3387196612412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338719661221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216966 + ... + 851183.

It is an arithmetic number, because the mean of its divisors is an integer number (15612080400).

Almost surely, 2338719661241 is an apocalyptic number.

It is an amenable number.

338719661241 is a deficient number, since it is larger than the sum of its proper divisors (160866911559).

338719661241 is a wasteful number, since it uses less digits than its factorization.

338719661241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068385.

The product of its digits is 1306368, while the sum is 51.

The spelling of 338719661241 in words is "three hundred thirty-eight billion, seven hundred nineteen million, six hundred sixty-one thousand, two hundred forty-one".

Divisors: 1 3 13 39 47 141 173 519 611 1833 2249 6747 8131 24393 105703 317109 1068149 3204447 13885937 41657811 50203003 150609009 184789777 554369331 652639039 1957917117 2402267101 7206801303 8685119519 26055358557 112906553747 338719661241