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334142331103404 = 223226274735325737
BaseRepresentation
bin100101111111001101001001…
…0111100110010100010101100
31121211002200202120102020201200
41023332122102330302202230
5322244041443230302104
63142354511235005500
7130244662313455515
oct11376322274624254
91554080676366650
10334142331103404
1197516a6a92081a
1231587032739890
131145a643146bb5
145c7280a197a0c
152896c1eccbb39
hex12fe692f328ac

334142331103404 has 36 divisors (see below), whose sum is σ = 844640797730184. Its totient is φ = 111380349972672.

The previous prime is 334142331103363. The next prime is 334142331103433. The reversal of 334142331103404 is 404301133241433.

334142331103404 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 4 + 233 + 1 + 10 + 3 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3341423311034042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8203977 + ... + 27121760.

It is an arithmetic number, because the mean of its divisors is an integer number (23462244381394).

Almost surely, 2334142331103404 is an apocalyptic number.

It is an amenable number.

334142331103404 is an abundant number, since it is smaller than the sum of its proper divisors (510498466626780).

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

334142331103404 is a wasteful number, since it uses less digits than its factorization.

334142331103404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35588494 (or 35588489 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 334142331103404 its reverse (404301133241433), we get a palindrome (738443464344837).

The spelling of 334142331103404 in words is "three hundred thirty-four trillion, one hundred forty-two billion, three hundred thirty-one million, one hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 262747 525494 788241 1050988 1576482 2364723 3152964 4729446 9458892 35325737 70651474 105977211 141302948 211954422 317931633 423908844 635863266 1271726532 9281731419539 18563462839078 27845194258617 37126925678156 55690388517234 83535582775851 111380777034468 167071165551702 334142331103404