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3443404120401 = 3717311971579399
BaseRepresentation
bin110010000110111010111…
…000010010000101010001
3110012012000202100102020210
4302012322320102011101
5422404042423323101
611153513352354333
7503530523044140
oct62067270220521
913165022312223
103443404120401
111108380947163
124774310a59a9
131bc933559c0b
14bc9397c7757
155e8868e27d6
hex321bae12151

3443404120401 has 64 divisors (see below), whose sum is σ = 5764077158400. Its totient is φ = 1783077166080.

The previous prime is 3443404120243. The next prime is 3443404120459. The reversal of 3443404120401 is 1040214043443.

It is not a de Polignac number, because 3443404120401 - 217 = 3443403989329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3443404120901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390500 + ... + 2969898.

It is an arithmetic number, because the mean of its divisors is an integer number (90063705600).

Almost surely, 23443404120401 is an apocalyptic number.

3443404120401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3443404120401 is a deficient number, since it is larger than the sum of its proper divisors (2320673037999).

3443404120401 is a wasteful number, since it uses less digits than its factorization.

3443404120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579654.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3443404120401 its reverse (1040214043443), we get a palindrome (4483618163844).

The spelling of 3443404120401 in words is "three trillion, four hundred forty-three billion, four hundred four million, one hundred twenty thousand, four hundred one".

Divisors: 1 3 7 17 21 31 51 93 119 197 217 357 527 591 651 1379 1581 3349 3689 4137 6107 10047 11067 18321 23443 42749 70329 103819 128247 311457 726733 1579399 2180199 4738197 11055793 26849783 33167379 48961369 80549349 146884107 187948481 311141603 342729583 563845443 832343273 933424809 1028188749 2177991221 2497029819 5289407251 5826402911 6533973663 9645389693 15868221753 17479208733 28936169079 37025850757 67517727851 111077552271 163971624781 202553183553 491914874343 1147801373467 3443404120401