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401422020224104 = 231123113377166763
BaseRepresentation
bin101101101000101110101100…
…0111010111010010001101000
31221122022120101210012012100101
41123101131120322322101220
5410103344244134132404
63541430421423315144
7150360532606252435
oct13321353072722150
91848276353165311
10401422020224104
111069a6139403200
123903233a44bab4
13142cac1b238019
14711ad0257ab8c
153161d945642a4
hex16d1758eba468

401422020224104 has 48 divisors (see below), whose sum is σ = 853998326213760. Its totient is φ = 176578601258400.

The previous prime is 401422020224083. The next prime is 401422020224123.

It is a happy number.

401422020224104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014220202241042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6688553374 + ... + 6688613389.

It is an arithmetic number, because the mean of its divisors is an integer number (17791631796120).

Almost surely, 2401422020224104 is an apocalyptic number.

401422020224104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401422020224104 is an abundant number, since it is smaller than the sum of its proper divisors (452576305989656).

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

401422020224104 is a wasteful number, since it uses less digits than its factorization.

401422020224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377166822 (or 13377166807 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 401422020224104 in words is "four hundred one trillion, four hundred twenty-two billion, twenty million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3751 7502 15004 30008 13377166763 26754333526 53508667052 107017334104 147148834393 294297668786 414692169653 588595337572 829384339306 1177190675144 1618637178323 1658768678612 3237274356646 3317537357224 4561613866183 6474548713292 9123227732366 12949097426584 18246455464732 36492910929464 50177752528013 100355505056026 200711010112052 401422020224104