Search a number
-
+
11314423121140 = 22541163311272189
BaseRepresentation
bin1010010010100101100000…
…1010111100010011110100
31111001122111121020011201101
42210221120022330103310
52440333414304334030
640021435122135444
72245303644464566
oct244513012742364
944048447204641
1011314423121140
113672468981637
1213289894b1584
13640c3a40a069
142b189a053336
151494aa1ca7ca
hexa4a582bc4f4

11314423121140 has 96 divisors (see below), whose sum is σ = 24567965210880. Its totient is φ = 4374170035200.

The previous prime is 11314423121119. The next prime is 11314423121149. The reversal of 11314423121140 is 4112132441311.

It is a super-3 number, since 3×113144231211403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11314423121099 and 11314423121108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314423121149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41432166 + ... + 41704354.

It is an arithmetic number, because the mean of its divisors is an integer number (255916304280).

Almost surely, 211314423121140 is an apocalyptic number.

11314423121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314423121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283982605440).

11314423121140 is an abundant number, since it is smaller than the sum of its proper divisors (13253542089740).

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

11314423121140 is a wasteful number, since it uses less digits than its factorization.

11314423121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272713 (or 272711 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11314423121140 its reverse (4112132441311), we get a palindrome (15426555562451).

The spelling of 11314423121140 in words is "eleven trillion, three hundred fourteen billion, four hundred twenty-three million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 311 326 410 622 652 815 820 1244 1555 1630 3110 3260 6220 6683 12751 13366 25502 26732 33415 50693 51004 63755 66830 101386 127510 133660 202772 253465 255020 272189 506930 544378 1013860 1088756 1360945 2078413 2721890 4156826 5443780 8313652 10392065 11159749 20784130 22319498 41568260 44366807 44638996 55798745 84650779 88733614 111597490 169301558 177467228 221834035 223194980 338603116 423253895 443668070 846507790 887336140 1693015580 1819039087 3470681939 3638078174 6941363878 7276156348 9095195435 13798076977 13882727756 17353409695 18190390870 27596153954 34706819390 36380781740 55192307908 68990384885 69413638780 137980769770 275961539540 565721156057 1131442312114 2262884624228 2828605780285 5657211560570 11314423121140