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442131411042312 = 23364063287562901
BaseRepresentation
bin110010010000111011011110…
…1101100110000000000001000
32010222110100110020002121012120
41210201312331230300000020
5430422340112211323222
64204200211035011240
7162061640346644445
oct14441667554600010
92128410406077176
10442131411042312
11118970973211652
1241708042b99b20
1315c91a75697c84
147b273bb2269cc
15361acbc9b315c
hex1921dbdb30008

442131411042312 has 32 divisors (see below), whose sum is σ = 1105345785223680. Its totient is φ = 147374835998400.

The previous prime is 442131411042289. The next prime is 442131411042397. The reversal of 442131411042312 is 213240114131244.

It is a super-3 number, since 3×4421314110423123 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142243939 + ... + 145318962.

It is an arithmetic number, because the mean of its divisors is an integer number (34542055788240).

Almost surely, 2442131411042312 is an apocalyptic number.

It is an amenable number.

442131411042312 is an abundant number, since it is smaller than the sum of its proper divisors (663214374181368).

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

442131411042312 is a wasteful number, since it uses less digits than its factorization.

442131411042312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287626973 (or 287626969 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 442131411042312 its reverse (213240114131244), we get a palindrome (655371525173556).

The spelling of 442131411042312 in words is "four hundred forty-two trillion, one hundred thirty-one billion, four hundred eleven million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 64063 128126 192189 256252 384378 512504 768756 1537512 287562901 575125802 862688703 1150251604 1725377406 2300503208 3450754812 6901509624 18422142126763 36844284253526 55266426380289 73688568507052 110532852760578 147377137014104 221065705521156 442131411042312