Search a number
-
+
2041430422122 = 2327133140203049
BaseRepresentation
bin11101101101001110101…
…111000011001001101010
321020011021210111100201200
4131231032233003021222
5231421322142001442
64201453054425030
7300326356165530
oct35551657031152
97204253440650
102041430422122
11717847287173
1228b786b02176
1311a676a87550
1470b3d00c150
153818036834c
hex1db4ebc326a

2041430422122 has 96 divisors (see below), whose sum is σ = 5619421516800. Its totient is φ = 521031502080.

The previous prime is 2041430422117. The next prime is 2041430422139. The reversal of 2041430422122 is 2212240341402.

It is a happy number.

2041430422122 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 430 + 4 + 221 + 2 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20050747 + ... + 20152302.

It is an arithmetic number, because the mean of its divisors is an integer number (58535640800).

Almost surely, 22041430422122 is an apocalyptic number.

2041430422122 is an abundant number, since it is smaller than the sum of its proper divisors (3577991094678).

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

2041430422122 is a wasteful number, since it uses less digits than its factorization.

2041430422122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40203108 (or 40203105 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2041430422122 its reverse (2212240341402), we get a palindrome (4253670763524).

The spelling of 2041430422122 in words is "two trillion, forty-one billion, four hundred thirty million, four hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 50778 40203049 80406098 120609147 241218294 281421343 361827441 522639637 562842686 723654882 844264029 1045279274 1246294519 1567918911 1688528058 2492589038 2532792087 3135837822 3658477459 3738883557 4703756733 5065584174 7316954918 7477767114 8724061633 9407513466 10975432377 11216650671 16201828747 17448123266 21950864754 22433301342 26172184899 32403657494 32926297131 48605486241 52344369798 65852594262 78516554697 97210972482 113412801229 145816458723 157033109394 226825602458 291632917446 340238403687 680476807374 1020715211061 2041430422122