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401232141232104 = 2337131737292073689
BaseRepresentation
bin101101100111010110010001…
…1010000000010011111101000
31221121122102021210100222202010
41123032230203100002133220
5410042241411123411404
63541203300121435520
7150341031332410410
oct13316544320023750
91847572253328663
10401232141232104
11106932660697126
123900158833bba0
13142b604a9c3ca0
147111a4c71b640
15315be7e902189
hex16ceb234027e8

401232141232104 has 256 divisors, whose sum is σ = 1342510874611200. Its totient is φ = 96903039909888.

The previous prime is 401232141232099. The next prime is 401232141232123.

It is a happy number.

401232141232104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144663109 + ... + 147410580.

It is an arithmetic number, because the mean of its divisors is an integer number (5244183103950).

Almost surely, 2401232141232104 is an apocalyptic number.

It is an amenable number.

401232141232104 is an abundant number, since it is smaller than the sum of its proper divisors (941278733379096).

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

401232141232104 is a wasteful number, since it uses less digits than its factorization.

401232141232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292073772 (or 292073768 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 401232141232104 in words is "four hundred one trillion, two hundred thirty-two billion, one hundred forty-one million, two hundred thirty-two thousand, one hundred four".