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401422343224104 = 23325575310322557
BaseRepresentation
bin101101101000101110110110…
…0001011000011101100101000
31221122022121020021222022001100
41123101131230023003230220
5410103400424331132404
63541430513442321400
7150360543610564416
oct13321355413035450
91848277207868040
10401422343224104
111069a6294766954
123903240a659260
13142cac70129897
14711ad3341a2b6
153161db2ab7d39
hex16d176c2c3b28

401422343224104 has 24 divisors (see below), whose sum is σ = 1087185512898810. Its totient is φ = 133807447741344.

The previous prime is 401422343224073. The next prime is 401422343224139.

401422343224104 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 234 + 3 + 2 + 2 + 410 + 4 = 666.

401422343224104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 299341833044004 + 102080510180100 = 17301498^2 + 10103490^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4014223432241042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2787655161207 + ... + 2787655161350.

Almost surely, 2401422343224104 is an apocalyptic number.

It is an amenable number.

401422343224104 is an abundant number, since it is smaller than the sum of its proper divisors (685763169674706).

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

401422343224104 is a wasteful number, since it uses less digits than its factorization.

401422343224104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575310322569 (or 5575310322562 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 401422343224104 in words is "four hundred one trillion, four hundred twenty-two billion, three hundred forty-three million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5575310322557 11150620645114 16725930967671 22301241290228 33451861935342 44602482580456 50177792903013 66903723870684 100355585806026 133807447741368 200711171612052 401422343224104