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442410211411 = 717192107109883
BaseRepresentation
bin1100111000000011011…
…01000001100001010011
31120021221022212022222121
412130001231001201103
524222024003231121
6535123534115111
743651223515150
oct6340155014123
91507838768877
10442410211411
111606970379a3
12718aa34ba97
1332946b433ac
14175ac8cb227
15b794cc2141
hex6701b41853

442410211411 has 96 divisors (see below), whose sum is σ = 576177338880. Its totient is φ = 331509169152.

The previous prime is 442410211379. The next prime is 442410211421. The reversal of 442410211411 is 114112014244.

It is not a de Polignac number, because 442410211411 - 25 = 442410211379 is a prime.

It is a super-2 number, since 2×4424102114112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442410211421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501030376 + ... + 501031258.

It is an arithmetic number, because the mean of its divisors is an integer number (6001847280).

Almost surely, 2442410211411 is an apocalyptic number.

442410211411 is a deficient number, since it is larger than the sum of its proper divisors (133767127469).

442410211411 is a wasteful number, since it uses less digits than its factorization.

442410211411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 442410211411 its reverse (114112014244), we get a palindrome (556522225655).

The spelling of 442410211411 in words is "four hundred forty-two billion, four hundred ten million, two hundred eleven thousand, four hundred eleven".

Divisors: 1 7 17 19 107 109 119 133 323 361 749 763 883 1819 1853 2033 2071 2261 2527 6137 6181 11663 12733 12971 14231 14497 15011 16777 34561 35207 38627 39349 42959 81641 94481 96247 105077 117439 198271 221597 241927 246449 270389 275443 285209 318763 656659 661367 668933 673729 1387897 1551179 1606177 1636199 1795139 1828693 1996463 2231341 3767149 4210343 4596613 4682531 5418971 10298429 11243239 11453393 12565973 12800851 26370043 29472401 30517363 31087781 34107641 34745167 37932797 71575831 72089003 175073293 195670151 213621541 217614467 238753487 243216169 501030817 579829897 590667839 1225513051 1369691057 3326392567 3717732869 4058809279 4134674873 23284747969 26024130083 63201458773 442410211411