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3444414141 = 3741792641
BaseRepresentation
bin1100110101001101…
…1001011010111101
322220001021100221010
43031103121122331
524023232223031
61325441425433
7151233015510
oct31523313275
98801240833
103444414141
111508311363
1280163b279
1342b7a689c
1424964cd77
151525cc246
hexcd4d96bd

3444414141 has 48 divisors (see below), whose sum is σ = 5454062208. Its totient is φ = 1892966400.

The previous prime is 3444414137. The next prime is 3444414161. The reversal of 3444414141 is 1414144443.

It is not a de Polignac number, because 3444414141 - 22 = 3444414137 is a prime.

3444414141 is a modest number, since divided by 414141 gives 3444 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3444414099 and 3444414108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444414161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5373181 + ... + 5373821.

It is an arithmetic number, because the mean of its divisors is an integer number (113626296).

Almost surely, 23444414141 is an apocalyptic number.

It is an amenable number.

3444414141 is a deficient number, since it is larger than the sum of its proper divisors (2009648067).

3444414141 is an equidigital number, since it uses as much as digits as its factorization.

3444414141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 771 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 3444414141 is about 58689.1313702972. The cubic root of 3444414141 is about 1510.2138698283.

Adding to 3444414141 its reverse (1414144443), we get a palindrome (4858558584).

The spelling of 3444414141 in words is "three billion, four hundred forty-four million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 41 79 123 237 287 553 641 861 1659 1923 3239 4487 6241 9717 13461 18723 22673 26281 43687 50639 68019 78843 131061 151917 183967 255881 354473 551901 767643 1063419 1791167 2076199 4000481 5373501 6228597 12001443 14533393 28003367 43600179 84010101 164019721 492059163 1148138047 3444414141