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334242020242433 = 2324960791273663
BaseRepresentation
bin100101111111111011100100…
…0111000101011010000000001
31121211110020002002010012220002
41023333313020320223100001
5322302210124140224213
63142512355255125345
7130255121564251022
oct11377671070532001
91554406062105802
10334242020242433
1197555276834426
12315a2414373855
1311466b6c425124
145c77585c18c49
152899606aae658
hex12ffdc8e2b401

334242020242433 has 12 divisors (see below), whose sum is σ = 349407098127360. Its totient is φ = 319708863003816.

The previous prime is 334242020242337. The next prime is 334242020242439.

334242020242433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334242020242433 - 220 = 334242019193857 is a prime.

It is a super-3 number, since 3×3342420202424333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334242020242439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261788960 + ... + 263062622.

It is an arithmetic number, because the mean of its divisors is an integer number (29117258177280).

Almost surely, 2334242020242433 is an apocalyptic number.

It is an amenable number.

334242020242433 is a deficient number, since it is larger than the sum of its proper divisors (15165077884927).

334242020242433 is a wasteful number, since it uses less digits than its factorization.

334242020242433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769788 (or 1769765 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

The spelling of 334242020242433 in words is "three hundred thirty-four trillion, two hundred forty-two billion, twenty million, two hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 23 529 496079 1273663 11409817 29294249 262425791 673767727 631837467377 14532261749671 334242020242433