Search a number
-
+
4145204331221 = 31319336851249
BaseRepresentation
bin111100010100100001011…
…011101000001011010101
3112200021111102020222222112
4330110201123220023111
51020403334302044341
612452140334440405
7605324012313542
oct74244133501325
915607442228875
104145204331221
111358a75863898
1256b450663105
13240b7795bb55
141048b3c1bbc9
1572c5da45aeb
hex3c5216e82d5

4145204331221 has 8 divisors (see below), whose sum is σ = 4160599695000. Its totient is φ = 4129822674432.

The previous prime is 4145204331199. The next prime is 4145204331259. The reversal of 4145204331221 is 1221334025414.

It can be written as a sum of positive squares in 4 ways, for example, as 330061740100 + 3815142591121 = 574510^2 + 1953239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4145204331221 - 214 = 4145204314837 is a prime.

It is a super-3 number, since 3×41452043312213 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145204331271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2820596 + ... + 4030653.

It is an arithmetic number, because the mean of its divisors is an integer number (520074961875).

Almost surely, 24145204331221 is an apocalyptic number.

It is an amenable number.

4145204331221 is a deficient number, since it is larger than the sum of its proper divisors (15395363779).

4145204331221 is a wasteful number, since it uses less digits than its factorization.

4145204331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853495.

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 4145204331221 its reverse (1221334025414), we get a palindrome (5366538356635).

The spelling of 4145204331221 in words is "four trillion, one hundred forty-five billion, two hundred four million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 313 1933 605029 6851249 2144440937 13243464317 4145204331221