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4022321021312 = 271120991361011
BaseRepresentation
bin111010100010000101000…
…001000000000110000000
3112020112022110122001212012
4322202011001000012000
51011400203140140222
612315455002552052
7563413602363026
oct72420501000600
915215273561765
104022321021312
11131094739a320
1254b677208628
132323c32c8759
14dc9779a6716
156e96a89b1e2
hex3a885040180

4022321021312 has 64 divisors (see below), whose sum is σ = 8745863112000. Its totient is φ = 1827455347200.

The previous prime is 4022321021297. The next prime is 4022321021347. The reversal of 4022321021312 is 2131201232204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2274887 + ... + 3635897.

It is an arithmetic number, because the mean of its divisors is an integer number (136654111125).

Almost surely, 24022321021312 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 4022321021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372931556000).

4022321021312 is an abundant number, since it is smaller than the sum of its proper divisors (4723542090688).

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

4022321021312 is a wasteful number, since it uses less digits than its factorization.

4022321021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363135 (or 1363123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 4022321021312 its reverse (2131201232204), we get a palindrome (6153522253516).

The spelling of 4022321021312 in words is "four trillion, twenty-two billion, three hundred twenty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2099 4198 8396 16792 23089 33584 46178 67168 92356 134336 184712 268672 369424 738848 1361011 1477696 2722022 2955392 5444044 10888088 14971121 21776176 29942242 43552352 59884484 87104704 119768968 174209408 239537936 479075872 958151744 1916303488 2856762089 5713524178 11427048356 22854096712 31424382979 45708193424 62848765958 91416386848 125697531916 182832773696 251395063832 365665547392 502790127664 1005580255328 2011160510656 4022321021312