Search a number
-
+
441132114241230 = 235311632910034397
BaseRepresentation
bin110010001001101010001001…
…0111101111110011011001110
32010211220211002111212101021220
41210103110102331332123032
5430310002032221204410
64202113143504304210
7161626513011202146
oct14423242275763316
92124824074771256
10441132114241230
11118616096220495
1241586438612066
1315c1b76ccbb889
147ad0ca034b926
1535eecd2d52070
hex1913512f7e6ce

441132114241230 has 64 divisors (see below), whose sum is σ = 1099573957490688. Its totient is φ = 113142137316480.

The previous prime is 441132114241151. The next prime is 441132114241277. The reversal of 441132114241230 is 32142411231144.

It is a junction number, because it is equal to n+sod(n) for n = 441132114241191 and 441132114241200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454865609 + ... + 1455168788.

It is an arithmetic number, because the mean of its divisors is an integer number (17180843085792).

Almost surely, 2441132114241230 is an apocalyptic number.

441132114241230 is an abundant number, since it is smaller than the sum of its proper divisors (658441843249458).

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

441132114241230 is a wasteful number, since it uses less digits than its factorization.

441132114241230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910034601.

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

Adding to 441132114241230 its reverse (32142411231144), we get a palindrome (473274525472374).

The spelling of 441132114241230 in words is "four hundred forty-one trillion, one hundred thirty-two billion, one hundred fourteen million, two hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 163 186 310 326 465 489 815 930 978 1630 2445 4890 5053 10106 15159 25265 30318 50530 75795 151590 2910034397 5820068794 8730103191 14550171985 17460206382 29100343970 43650515955 87301031910 90211066307 180422132614 270633198921 451055331535 474335606711 541266397842 902110663070 948671213422 1353165994605 1423006820133 2371678033555 2706331989210 2846013640266 4743356067110 7115034100665 14230068201330 14704403808041 29408807616082 44113211424123 73522019040205 88226422848246 147044038080410 220566057120615 441132114241230