Search a number
-
+
2234001034314 = 2327193130102151
BaseRepresentation
bin100000100000100100110…
…101101000110001001010
321220120100101002001002200
4200200210311220301022
5243100213231044224
64430141431141030
7320254425323010
oct40404465506112
97816311061080
102234001034314
11791486386345
12300b6a514776
13132885b3ca5a
147a1aa51c8b0
153d1a14575c9
hex20824d68c4a

2234001034314 has 96 divisors (see below), whose sum is σ = 6010797711360. Its totient is φ = 585185796000.

The previous prime is 2234001034289. The next prime is 2234001034357. The reversal of 2234001034314 is 4134301004322.

2234001034314 is a `hidden beast` number, since 2 + 2 + 340 + 0 + 1 + 0 + 3 + 4 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14976862 + ... + 15125289.

It is an arithmetic number, because the mean of its divisors is an integer number (62612476160).

Almost surely, 22234001034314 is an apocalyptic number.

2234001034314 is an abundant number, since it is smaller than the sum of its proper divisors (3776796677046).

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

2234001034314 is a wasteful number, since it uses less digits than its factorization.

2234001034314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30102216 (or 30102213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2234001034314 its reverse (4134301004322), we get a palindrome (6368302038636).

The spelling of 2234001034314 in words is "two trillion, two hundred thirty-four billion, one million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 37107 74214 30102151 60204302 90306453 180612906 210715057 270919359 421430114 541838718 571940869 632145171 933166681 1143881738 1264290342 1715822607 1866333362 1896435513 2799500043 3431645214 3792871026 4003586083 5147467821 5599000086 6532166767 8007172166 8398500129 10294935642 12010758249 13064333534 16797000258 17730166939 19596500301 24021516498 35460333878 36032274747 39193000602 53190500817 58789500903 72064549494 106381001634 117579001806 124111168573 159571502451 248222337146 319143004902 372333505719 744667011438 1117000517157 2234001034314