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33440422001103 = 3413374718261809
BaseRepresentation
bin1111001101001111101000…
…11110010111100111001111
311101101212120111122211010000
413212213310132113213033
513340341441013013403
6155042152350415343
710020663555032115
oct746476436274717
9141355514584100
1033440422001103
11a72300447a907
123900b89801553
131587558c05520
1483874caa3ab5
153cecde9aa7a3
hex1e69f47979cf

33440422001103 has 80 divisors (see below), whose sum is σ = 56426363199360. Its totient is φ = 19596527023104.

The previous prime is 33440422000919. The next prime is 33440422001167. The reversal of 33440422001103 is 30110022404433.

33440422001103 is a `hidden beast` number, since 3 + 3 + 440 + 4 + 2 + 200 + 1 + 10 + 3 = 666.

It is not a de Polignac number, because 33440422001103 - 210 = 33440422000079 is a prime.

It is a super-3 number, since 3×334404220011033 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33440422001183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7299738 + ... + 10962071.

It is an arithmetic number, because the mean of its divisors is an integer number (705329539992).

Almost surely, 233440422001103 is an apocalyptic number.

33440422001103 is a deficient number, since it is larger than the sum of its proper divisors (22985941198257).

33440422001103 is a wasteful number, since it uses less digits than its factorization.

33440422001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261918 (or 18261909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33440422001103 its reverse (30110022404433), we get a palindrome (63550444405536).

The spelling of 33440422001103 in words is "thirty-three trillion, four hundred forty billion, four hundred twenty-two million, one thousand, one hundred three".

Divisors: 1 3 9 13 27 37 39 47 81 111 117 141 333 351 423 481 611 999 1053 1269 1443 1739 1833 2997 3807 4329 5217 5499 12987 15651 16497 22607 38961 46953 49491 67821 140859 203463 610389 1831167 18261809 54785427 164356281 237403517 493068843 675686933 712210551 858305023 1479206529 2027060799 2136631653 2574915069 6081182397 6409894959 7724745207 8783930129 11157965299 18243547191 19229684877 23174235621 26351790387 31757285851 33473895897 54730641573 69522706863 79055371161 95271857553 100421687691 237166113483 285815572659 301265063073 412844716063 711498340449 857446717977 903795189219 1238534148189 2572340153931 3715602444567 11146807333701 33440422001103