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401131343131104 = 25337591914086803
BaseRepresentation
bin101101100110100111010101…
…1001101110011000111100000
31221121021210002222221220202010
41123031032223031303013200
5410034113442320143404
63541045110044352520
7150330532424605005
oct13315165315630740
91847253088856663
10401131343131104
111068a39357a7a23
1238ba5b37245740
13142a96a5a47b41
14710ac096a78ac
1531595305b8189
hex16cd3ab3731e0

401131343131104 has 96 divisors (see below), whose sum is σ = 1099757714106240. Its totient is φ = 127891623762432.

The previous prime is 401131343131019. The next prime is 401131343131139.

401131343131104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956833834 + ... + 957252969.

It is an arithmetic number, because the mean of its divisors is an integer number (11455809521940).

Almost surely, 2401131343131104 is an apocalyptic number.

It is an amenable number.

401131343131104 is an abundant number, since it is smaller than the sum of its proper divisors (698626370975136).

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

401131343131104 is a wasteful number, since it uses less digits than its factorization.

401131343131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914086912 (or 1914086904 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 401131343131104 in words is "four hundred one trillion, one hundred thirty-one billion, three hundred forty-three million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 74 96 111 118 148 177 222 236 296 354 444 472 592 708 888 944 1184 1416 1776 1888 2183 2832 3552 4366 5664 6549 8732 13098 17464 26196 34928 52392 69856 104784 209568 1914086803 3828173606 5742260409 7656347212 11484520818 15312694424 22969041636 30625388848 45938083272 61250777696 70821211711 91876166544 112931121377 141642423422 183752333088 212463635133 225862242754 283284846844 338793364131 424927270266 451724485508 566569693688 677586728262 849854540532 903448971016 1133139387376 1355173456524 1699709081064 1806897942032 2266278774752 2710346913048 3399418162128 3613795884064 4178451490949 5420693826096 6798836324256 8356902981898 10841387652192 12535354472847 16713805963796 25070708945694 33427611927592 50141417891388 66855223855184 100282835782776 133710447710368 200565671565552 401131343131104