Search a number
-
+
2134326234312 = 233248896063289
BaseRepresentation
bin11111000011101111110…
…000011100110011001000
321120001001212100120101100
4133003233300130303020
5234432100003444222
64312255042221400
7310125410441316
oct37035760346310
97501055316340
102134326234312
11753187576878
122a5791654860
1312635c81235c
14754327510b6
153a7baa584ac
hex1f0efc1ccc8

2134326234312 has 48 divisors (see below), whose sum is σ = 5781650179500. Its totient is φ = 711296441856.

The previous prime is 2134326234301. The next prime is 2134326234367.

2134326234312 is a `hidden beast` number, since 2 + 1 + 3 + 43 + 262 + 343 + 12 = 666.

2134326234312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1845886345956 + 288439888356 = 1358634^2 + 537066^2 .

It is a super-2 number, since 2×21343262343122 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 2679637 + ... + 3383652.

Almost surely, 22134326234312 is an apocalyptic number.

It is an amenable number.

2134326234312 is an abundant number, since it is smaller than the sum of its proper divisors (3647323945188).

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

2134326234312 is a wasteful number, since it uses less digits than its factorization.

2134326234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068190 (or 6068183 counting only the distinct ones).

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

The spelling of 2134326234312 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-six million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4889 9778 14667 19556 29334 39112 44001 58668 88002 117336 176004 352008 6063289 12126578 18189867 24253156 36379734 48506312 54569601 72759468 109139202 145518936 218278404 436556808 29643419921 59286839842 88930259763 118573679684 177860519526 237147359368 266790779289 355721039052 533581558578 711442078104 1067163117156 2134326234312