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3355414304841 = 342035312
BaseRepresentation
bin110000110100111110010…
…001110001100001001001
3102212202220120222122210000
4300310332101301201021
5414433342030223331
611045242301313213
7464264203000464
oct60647621614111
912782816878700
103355414304841
111084028999425
12462375565809
131b45500397b1
14b858d8762db
155c436c8b0e6
hex30d3e471849

3355414304841 has 15 divisors (see below), whose sum is σ = 5012433650653. Its totient is φ = 2236931879220.

The previous prime is 3355414304821. The next prime is 3355414304903. The reversal of 3355414304841 is 1484034145533.

The square root of 3355414304841 is 1831779.

It is a perfect power (a square), and thus also a powerful number.

3355414304841 is a `hidden beast` number, since 3 + 3 + 554 + 14 + 3 + 0 + 4 + 84 + 1 = 666.

It is not a de Polignac number, because 3355414304841 - 231 = 3353266821193 is a prime.

It is a super-3 number, since 3×33554143048413 (a number of 39 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 (3355414304821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16384246 + ... + 16587776.

Almost surely, 23355414304841 is an apocalyptic number.

3355414304841 is the 1831779-th square number.

3355414304841 is the 915890-th centered octagonal number.

It is an amenable number.

3355414304841 is a deficient number, since it is larger than the sum of its proper divisors (1657019345812).

3355414304841 is an frugal number, since it uses more digits than its factorization.

3355414304841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407074 (or 203534 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3355414304841 in words is "three trillion, three hundred fifty-five billion, four hundred fourteen million, three hundred four thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 203531 610593 1831779 5495337 16486011 41424867961 124274603883 372823811649 1118471434947 3355414304841