Search a number
-
+
116311123040 = 2557103849217
BaseRepresentation
bin110110001010010101…
…1101110010001100000
3102010012220220020121212
41230110223232101200
53401201121414130
6125233235005252
711255204143040
oct1542453562140
9363186806555
10116311123040
1145366662282
121a660439828
13ac77b89538
1458b545d720
15305b1d9e95
hex1b14aee460

116311123040 has 48 divisors (see below), whose sum is σ = 314040035232. Its totient is φ = 39878098944.

The previous prime is 116311123031. The next prime is 116311123057. The reversal of 116311123040 is 40321113611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 116311122997 and 116311123015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51923489 + ... + 51925728.

It is an arithmetic number, because the mean of its divisors is an integer number (6542500734).

Almost surely, 2116311123040 is an apocalyptic number.

116311123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116311123040 is an abundant number, since it is smaller than the sum of its proper divisors (197728912192).

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

116311123040 is a wasteful number, since it uses less digits than its factorization.

116311123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103849239 (or 103849231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 116311123040 its reverse (40321113611), we get a palindrome (156632236651).

The spelling of 116311123040 in words is "one hundred sixteen billion, three hundred eleven million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 103849217 207698434 415396868 519246085 726944519 830793736 1038492170 1453889038 1661587472 2076984340 2907778076 3323174944 3634722595 4153968680 5815556152 7269445190 8307937360 11631112304 14538890380 16615874720 23262224608 29077780760 58155561520 116311123040