Search a number
-
+
242103142412000 = 2553127476580989
BaseRepresentation
bin110111000011000100000111…
…110011010110111011100000
31011202012211112021001022222022
4313003010013303112323200
5223213104213424141000
62214524352002401012
7101665242364045052
oct6703040763267340
91152184467038868
10242103142412000
1170161403303a11
12231a1264660168
13a5122c7954b0c
1443adbd70c78d2
151cec9d1ce8585
hexdc3107cd6ee0

242103142412000 has 96 divisors (see below), whose sum is σ = 599531260124160. Its totient is φ = 96078727180800.

The previous prime is 242103142411979. The next prime is 242103142412017. The reversal of 242103142412000 is 214241301242.

242103142412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421031424120002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 237782495 + ... + 238798494.

It is an arithmetic number, because the mean of its divisors is an integer number (6245117292960).

Almost surely, 2242103142412000 is an apocalyptic number.

242103142412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242103142412000 is an abundant number, since it is smaller than the sum of its proper divisors (357428117712160).

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

242103142412000 is a wasteful number, since it uses less digits than its factorization.

242103142412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476581141 (or 476581123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242103142412000 its reverse (214241301242), we get a palindrome (242317383713242).

The spelling of 242103142412000 in words is "two hundred forty-two trillion, one hundred three billion, one hundred forty-two million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 635 800 1000 1016 1270 2000 2032 2540 3175 4000 4064 5080 6350 10160 12700 15875 20320 25400 31750 50800 63500 101600 127000 254000 508000 476580989 953161978 1906323956 2382904945 3812647912 4765809890 7625295824 9531619780 11914524725 15250591648 19063239560 23829049450 38126479120 47658098900 59572623625 60525785603 76252958240 95316197800 119145247250 121051571206 190632395600 238290494500 242103142412 302628928015 381264791200 476580989000 484206284824 605257856030 953161978000 968412569648 1210515712060 1513144640075 1906323956000 1936825139296 2421031424120 3026289280150 4842062848240 6052578560300 7565723200375 9684125696480 12105157120600 15131446400750 24210314241200 30262892801500 48420628482400 60525785603000 121051571206000 242103142412000