Search a number
-
+
121434344240 = 245111710180369
BaseRepresentation
bin111000100011000001…
…1010000101100110000
3102121102222010211220012
41301012003100230300
53442144143003430
6131441451234052
711526153616016
oct1610603205460
9377388124805
10121434344240
1147555581190
121b650148928
13b5b33cc281
145c3da388b6
15325ad81695
hex1c460d0b30

121434344240 has 160 divisors (see below), whose sum is σ = 329352402240. Its totient is φ = 41148416000.

The previous prime is 121434344201. The next prime is 121434344243. The reversal of 121434344240 is 42443434121.

It is a junction number, because it is equal to n+sod(n) for n = 121434344197 and 121434344206.

It is not an unprimeable number, because it can be changed into a prime (121434344243) 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, 1470776 + ... + 1551144.

It is an arithmetic number, because the mean of its divisors is an integer number (2058452514).

Almost surely, 2121434344240 is an apocalyptic number.

121434344240 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 121434344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676201120).

121434344240 is an abundant number, since it is smaller than the sum of its proper divisors (207918058000).

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

121434344240 is a wasteful number, since it uses less digits than its factorization.

121434344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80511 (or 80505 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 121434344240 its reverse (42443434121), we get a palindrome (163877778361).

The spelling of 121434344240 in words is "one hundred twenty-one billion, four hundred thirty-four million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 101 110 136 170 176 187 202 220 272 340 374 404 440 505 680 748 808 880 935 1010 1111 1360 1496 1616 1717 1870 2020 2222 2992 3434 3740 4040 4444 5555 6868 7480 8080 8585 8888 11110 13736 14960 17170 17776 18887 22220 27472 34340 37774 44440 68680 75548 80369 88880 94435 137360 151096 160738 188870 302192 321476 377740 401845 642952 755480 803690 884059 1285904 1366273 1510960 1607380 1768118 2732546 3214760 3536236 4420295 5465092 6429520 6831365 7072472 8117269 8840590 10930184 13662730 14144944 15029003 16234538 17681180 21860368 27325460 30058006 32469076 35362360 40586345 54650920 60116012 64938152 70724720 75145015 81172690 89289959 109301840 120232024 129876304 137993573 150290030 162345380 178579918 240464048 275987146 300580060 324690760 357159836 446449795 551974292 601160120 649381520 689967865 714319672 892899590 1103948584 1202320240 1379935730 1428639344 1517929303 1785799180 2207897168 2759871460 3035858606 3571598360 5519742920 6071717212 7143196720 7589646515 11039485840 12143434424 15179293030 24286868848 30358586060 60717172120 121434344240