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401132141231104 = 2101723042976863
BaseRepresentation
bin101101100110100111101101…
…0110010010011110000000000
31221121021212011121201121010101
41123031033122302103300000
5410034122111123343404
63541045321154412144
7150330561255416113
oct13315173262236000
91847255147647111
10401132141231104
111068a42052602a8
1238ba611a591054
13142a97a21b3c6a
14710ac8369a57a
15315957a6b72a4
hex16cd3dac93c00

401132141231104 has 44 divisors (see below), whose sum is σ = 849041525530944. Its totient is φ = 188768066453504.

The previous prime is 401132141231071. The next prime is 401132141231111.

401132141231104 is nontrivially palindromic in base 10.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 11521471024 + ... + 11521505839.

Almost surely, 2401132141231104 is an apocalyptic number.

It is an amenable number.

401132141231104 is an abundant number, since it is smaller than the sum of its proper divisors (447909384299840).

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

401132141231104 is a wasteful number, since it uses less digits than its factorization.

401132141231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042976900 (or 23042976882 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 401132141231104 in words is "four hundred one trillion, one hundred thirty-two billion, one hundred forty-one million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 23042976863 46085953726 92171907452 184343814904 368687629808 391730606671 737375259616 783461213342 1474750519232 1566922426684 2949501038464 3133844853368 5899002076928 6267689706736 11798004153856 12535379413472 23596008307712 25070758826944 50141517653888 100283035307776 200566070615552 401132141231104