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3433466643343 = 1121728147912401
BaseRepresentation
bin110001111101101010100…
…011110100001110001111
3110011020101012020021110221
4301331222203310032033
5422223214430041333
611145151322012211
7503026334634622
oct61755243641617
913136335207427
103433466643343
111104141456600
12475519047067
131bba0b7c0b89
14bc275a9bdb9
155e4a4284d2d
hex31f6a8f438f

3433466643343 has 48 divisors (see below), whose sum is σ = 4018890919680. Its totient is φ = 2920924160000.

The previous prime is 3433466643293. The next prime is 3433466643349.

It is a happy number.

3433466643343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3433466643343 - 241 = 1234443387791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433466643349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276863943 + ... + 276876343.

It is an arithmetic number, because the mean of its divisors is an integer number (83726894160).

Almost surely, 23433466643343 is an apocalyptic number.

3433466643343 is a deficient number, since it is larger than the sum of its proper divisors (585424276337).

3433466643343 is a wasteful number, since it uses less digits than its factorization.

3433466643343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13189 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 52.

The spelling of 3433466643343 in words is "three trillion, four hundred thirty-three billion, four hundred sixty-six million, six hundred forty-three thousand, three hundred forty-three".

Divisors: 1 11 17 121 187 281 479 2057 3091 4777 5269 8143 12401 34001 52547 57959 89573 134599 136411 210817 578017 985303 1480589 1500521 2288183 2318987 3484681 5940079 16286479 25170013 25508857 38331491 59239577 65340869 100981343 276870143 421646401 651635347 718749559 1110794773 1669162199 7167988817 12218742503 18360784189 28375757383 201968626079 312133331213 3433466643343