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401420404024104 = 233941109316262167
BaseRepresentation
bin101101101000101101111100…
…0100101100110001100101000
31221122022102020011000201202010
41123101123320211212030220
5410103332441412232404
63541425553210435520
7150360444552631203
oct13321337045461450
91848272204021663
10401420404024104
111069a548a077223
1239031b69132ba0
13142caa2144c66a
14711abcba6a93a
153161cec715189
hex16d16f8966328

401420404024104 has 64 divisors (see below), whose sum is σ = 1005536682483840. Its totient is φ = 133542305245440.

The previous prime is 401420404024103. The next prime is 401420404024151.

401420404024104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014204040241042 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401420404024103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16553229 + ... + 32815395.

It is an arithmetic number, because the mean of its divisors is an integer number (15711510663810).

Almost surely, 2401420404024104 is an apocalyptic number.

It is an amenable number.

401420404024104 is an abundant number, since it is smaller than the sum of its proper divisors (604116278459736).

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

401420404024104 is a wasteful number, since it uses less digits than its factorization.

401420404024104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264210 (or 16264206 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 40142040 and 4024104, that added together give a palindrome (44166144).

The spelling of 401420404024104 in words is "four hundred one trillion, four hundred twenty billion, four hundred four million, twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 941 1093 1882 2186 2823 3279 3764 4372 5646 6558 7528 8744 11292 13116 22584 26232 1028513 2057026 3085539 4114052 6171078 8228104 12342156 16262167 24684312 32524334 48786501 65048668 97573002 130097336 195146004 390292008 15302699147 17774548531 30605398294 35549097062 45908097441 53323645593 61210796588 71098194124 91816194882 106647291186 122421593176 142196388248 183632389764 213294582372 367264779528 426589164744 16725850167671 33451700335342 50177550503013 66903400670684 100355101006026 133806801341368 200710202012052 401420404024104