Search a number
-
+
3320434101312 = 26325764642537
BaseRepresentation
bin110000010100011001010…
…010111000110001000000
3102202102121202120012111100
4300110121102320301000
5413400222112220222
611021215242214400
7461615311115016
oct60243122706100
912672552505440
103320434101312
111070208539809
124576327b4400
131b1166c57703
14b69d1c408b6
155b58ad1b4ac
hex305194b8c40

3320434101312 has 42 divisors (see below), whose sum is σ = 9517424830238. Its totient is φ = 1106811366912.

The previous prime is 3320434101277. The next prime is 3320434101343. The reversal of 3320434101312 is 2131014340233.

It is a happy number.

3320434101312 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 4 + 341 + 0 + 1 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2957519425536 + 362914675776 = 1719744^2 + 602424^2 .

It is a super-2 number, since 2×33204341013122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2882320693 + ... + 2882321844.

Almost surely, 23320434101312 is an apocalyptic number.

3320434101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3320434101312 is an abundant number, since it is smaller than the sum of its proper divisors (6196990728926).

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

3320434101312 is a wasteful number, since it uses less digits than its factorization.

3320434101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764642555 (or 5764642542 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3320434101312 its reverse (2131014340233), we get a palindrome (5451448441545).

The spelling of 3320434101312 in words is "three trillion, three hundred twenty billion, four hundred thirty-four million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5764642537 11529285074 17293927611 23058570148 34587855222 46117140296 51881782833 69175710444 92234280592 103763565666 138351420888 184468561184 207527131332 276702841776 368937122368 415054262664 553405683552 830108525328 1106811367104 1660217050656 3320434101312