Search a number
-
+
138308808060 = 223252243342569
BaseRepresentation
bin1000000011001111011…
…0001110110101111100
3111012222222102102112200
42000303312032311330
54231224023324220
6143312125431500
712664264320363
oct2006366166574
9435888372480
10138308808060
1153724797655
122297b40b590
13100723aa8c7
1469a0b9a7da
1538e750c890
hex2033d8ed7c

138308808060 has 72 divisors (see below), whose sum is σ = 419724985680. Its totient is φ = 36865797888.

The previous prime is 138308808037. The next prime is 138308808061. The reversal of 138308808060 is 60808803831.

138308808060 is a `hidden beast` number, since 138 + 308 + 80 + 80 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 138308807997 and 138308808015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138308808061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232456 + ... + 575024.

It is an arithmetic number, because the mean of its divisors is an integer number (5829513690).

Almost surely, 2138308808060 is an apocalyptic number.

138308808060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138308808060 is an abundant number, since it is smaller than the sum of its proper divisors (281416177620).

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

138308808060 is a wasteful number, since it uses less digits than its factorization.

138308808060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344827 (or 344822 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138308808060 in words is "one hundred thirty-eight billion, three hundred eight million, eight hundred eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2243 4486 6729 8972 11215 13458 20187 22430 26916 33645 40374 44860 67290 80748 100935 134580 201870 342569 403740 685138 1027707 1370276 1712845 2055414 3083121 3425690 4110828 5138535 6166242 6851380 10277070 12332484 15415605 20554140 30831210 61662420 768382267 1536764534 2305146801 3073529068 3841911335 4610293602 6915440403 7683822670 9220587204 11525734005 13830880806 15367645340 23051468010 27661761612 34577202015 46102936020 69154404030 138308808060