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401462343264104 = 231713130117483829
BaseRepresentation
bin101101101001000001011110…
…0010111000110011101101000
31221122110102110222002212102022
41123102002330113012131220
5410110024334333422404
63541501130542124012
7150363461055403013
oct13322027427063550
91848412428085368
10401462343264104
11106a11250741a51
123903a112580608
13143019761c43c5
14711cc499d837a
153162e545ab8be
hex16d20bc5c6768

401462343264104 has 64 divisors (see below), whose sum is σ = 803371788014400. Its totient is φ = 187419001369600.

The previous prime is 401462343264097. The next prime is 401462343264127.

401462343264104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014623432641042 (a number of 30 digits) contains 22 as substring.

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, 49902062 + ... + 57385890.

It is an arithmetic number, because the mean of its divisors is an integer number (12552684187725).

Almost surely, 2401462343264104 is an apocalyptic number.

It is an amenable number.

401462343264104 is an abundant number, since it is smaller than the sum of its proper divisors (401909444750296).

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

401462343264104 is a wasteful number, since it uses less digits than its factorization.

401462343264104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486994 (or 7486990 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 401462343264104 in words is "four hundred one trillion, four hundred sixty-two billion, three hundred forty-three million, two hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 8 17 34 68 131 136 262 524 1048 2227 3011 4454 6022 8908 12044 17816 24088 51187 102374 204748 394441 409496 788882 1577764 3155528 6705497 7483829 13410994 14967658 26821988 29935316 53643976 59870632 127225093 254450186 508900372 980381599 1017800744 1960763198 3921526396 7843052792 16666487183 22533809119 33332974366 45067618238 66665948732 90135236476 133331897464 180270472952 383074755023 766149510046 1532299020092 2951928994589 3064598040184 5903857989178 11807715978356 23615431956712 50182792908013 100365585816026 200731171632052 401462343264104