Search a number
-
+
2939421404106 = 23211171399624209
BaseRepresentation
bin101010110001100011001…
…010110010101111001010
3101102000011022221202100100
4222301203022302233022
5341124413334412411
610130203533550230
7422236413454635
oct52614312625712
911360138852310
102939421404106
11a3366882aaa0
123b581a345376
1318425625c6a5
14a23a966cc1c
15516db300456
hex2ac632b2bca

2939421404106 has 96 divisors (see below), whose sum is σ = 7361683056000. Its totient is φ = 837737072640.

The previous prime is 2939421404071. The next prime is 2939421404111. The reversal of 2939421404106 is 6014041249392.

2939421404106 is a `hidden beast` number, since 2 + 9 + 3 + 94 + 2 + 140 + 410 + 6 = 666.

2939421404106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4396930 + ... + 5021138.

It is an arithmetic number, because the mean of its divisors is an integer number (76684198500).

Almost surely, 22939421404106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939421404106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680841528000).

2939421404106 is an abundant number, since it is smaller than the sum of its proper divisors (4422261651894).

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

2939421404106 is a wasteful number, since it uses less digits than its factorization.

2939421404106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625644 (or 625641 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2939421404106 in words is "two trillion, nine hundred thirty-nine billion, four hundred twenty-one million, four hundred four thousand, one hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1399 1683 2798 3366 4197 8394 12591 15389 23783 25182 30778 46167 47566 71349 92334 138501 142698 214047 261613 277002 428094 523226 624209 784839 1248418 1569678 1872627 2354517 3745254 4709034 5617881 6866299 10611553 11235762 13732598 20598897 21223106 31834659 41197794 61796691 63669318 95503977 116727083 123593382 191007954 233454166 350181249 700362498 873268391 1050543747 1746536782 2101087494 2619805173 5239610346 7859415519 9605952301 14845562647 15718831038 19211904602 28817856903 29691125294 44536687941 57635713806 86453570709 89073375882 133610063823 163301189117 172907141418 267220127646 326602378234 489903567351 979807134702 1469710702053 2939421404106