Search a number
-
+
2041433322324 = 22311311373133319
BaseRepresentation
bin11101101101001110111…
…010000111001101010100
321020011021222221201001120
4131231032322013031110
5231421323412303244
64201453240523540
7300326422635114
oct35551672071524
97204258851046
102041433322324
11717848988130
1228b787a805b0
1311a677561646
1470b3d565044
153818073c819
hex1db4ee87354

2041433322324 has 96 divisors (see below), whose sum is σ = 5227099637760. Its totient is φ = 614969270400.

The previous prime is 2041433322307. The next prime is 2041433322353. The reversal of 2041433322324 is 4232233341402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 15245737 + ... + 15379055.

It is an arithmetic number, because the mean of its divisors is an integer number (54448954560).

Almost surely, 22041433322324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041433322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613549818880).

2041433322324 is an abundant number, since it is smaller than the sum of its proper divisors (3185666315436).

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

2041433322324 is a wasteful number, since it uses less digits than its factorization.

2041433322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134021 (or 134019 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2041433322324 its reverse (4232233341402), we get a palindrome (6273666663726).

The spelling of 2041433322324 in words is "two trillion, forty-one billion, four hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 373 622 746 933 1119 1244 1492 1866 2238 3421 3732 4103 4476 6842 8206 10263 12309 13684 16412 20526 24618 41052 49236 116003 133319 232006 266638 348009 399957 464012 533276 696018 799914 1276033 1392036 1466509 1599828 2552066 2933018 3828099 4399527 5104132 5866036 7656198 8799054 15312396 17598108 41462209 49727987 82924418 99455974 124386627 149183961 165848836 198911948 248773254 298367922 456084299 497546508 547007857 596735844 912168598 1094015714 1368252897 1641023571 1824337196 2188031428 2736505794 3282047142 5473011588 6564094284 15465403957 30930807914 46396211871 61861615828 92792423742 170119443527 185584847484 340238887054 510358330581 680477774108 1020716661162 2041433322324