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4042200322212 = 22313592231969411
BaseRepresentation
bin111010110100100101111…
…010100001000010100100
3112022102121220001012001220
4322310211322201002210
51012211411240302322
612332543341220340
7565016330554353
oct72644572410244
915272556035056
104042200322212
11131931877a318
125534a48616b0
132342409931b0
14dd901c2d99a
1570230c2455c
hex3ad25ea10a4

4042200322212 has 96 divisors (see below), whose sum is σ = 10375807733760. Its totient is φ = 1217189911680.

The previous prime is 4042200322151. The next prime is 4042200322219. The reversal of 4042200322212 is 2122230022404.

It is not an unprimeable number, because it can be changed into a prime (4042200322219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067787 + ... + 3037197.

It is an arithmetic number, because the mean of its divisors is an integer number (108081330560).

Almost surely, 24042200322212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042200322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187903866880).

4042200322212 is an abundant number, since it is smaller than the sum of its proper divisors (6333607411548).

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

4042200322212 is a wasteful number, since it uses less digits than its factorization.

4042200322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969713 (or 1969711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042200322212 its reverse (2122230022404), we get a palindrome (6164430344616).

The spelling of 4042200322212 in words is "four trillion, forty-two billion, two hundred million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 223 236 354 446 669 708 767 892 1338 1534 2301 2676 2899 3068 4602 5798 8697 9204 11596 13157 17394 26314 34788 39471 52628 78942 157884 171041 342082 513123 684164 1026246 1969411 2052492 3938822 5908233 7877644 11816466 23632932 25602343 51204686 76807029 102409372 116195249 153614058 232390498 307228116 348585747 439178653 464780996 697171494 878357306 1317535959 1394342988 1510538237 1756714612 2635071918 3021076474 4531614711 5270143836 5709322489 6042152948 9063229422 11418644978 17127967467 18126458844 22837289956 25911540527 34255934934 51823081054 68511869868 77734621581 103646162108 155469243162 310938486324 336850026851 673700053702 1010550080553 1347400107404 2021100161106 4042200322212