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4022114310401 = 113748770928621
BaseRepresentation
bin111010100001111000101…
…100011101100100000001
3112020111210001200001210112
4322201320230131210001
51011344242230413101
612315422300241105
7563405512355225
oct72417054354401
915214701601715
104022114310401
111310850743360
1254b619b40195
1323238c5319c5
14dc958358785
156e9576686bb
hex3a878b1d901

4022114310401 has 32 divisors (see below), whose sum is σ = 4522129455360. Its totient is φ = 3545207481600.

The previous prime is 4022114310377. The next prime is 4022114310493. The reversal of 4022114310401 is 1040134112204.

It is a cyclic number.

It is not a de Polignac number, because 4022114310401 - 26 = 4022114310337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4022114310001) 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, 140515871 + ... + 140544491.

It is an arithmetic number, because the mean of its divisors is an integer number (141316545480).

Almost surely, 24022114310401 is an apocalyptic number.

It is an amenable number.

4022114310401 is a deficient number, since it is larger than the sum of its proper divisors (500015144959).

4022114310401 is a wasteful number, since it uses less digits than its factorization.

4022114310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29865.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4022114310401 its reverse (1040134112204), we get a palindrome (5062248422605).

The spelling of 4022114310401 in words is "four trillion, twenty-two billion, one hundred fourteen million, three hundred ten thousand, four hundred one".

Divisors: 1 11 37 407 487 709 5357 7799 18019 26233 28621 198209 288563 314831 345283 1058977 3798113 11648747 12775471 13938427 20292289 140530181 153322697 223215179 515721799 750814693 5672939789 8258961623 9882344743 108705792173 365646755491 4022114310401