Search a number
-
+
114723706260 = 22357375134877
BaseRepresentation
bin110101011011000010…
…0001101010110010100
3101222010021220010011210
41222312010031112110
53334423232100020
6124411531101420
711200650261552
oct1526604152624
9358107803153
10114723706260
11447215a5589
121a2988a1870
13aa8403b077
1457a46c2bd2
152eb6b743e0
hex1ab610d594

114723706260 has 96 divisors (see below), whose sum is σ = 326069678592. Its totient is φ = 30132864000.

The previous prime is 114723706217. The next prime is 114723706319. The reversal of 114723706260 is 62607327411.

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 31 ways as a sum of consecutive naturals, for example, 3271942 + ... + 3306818.

It is an arithmetic number, because the mean of its divisors is an integer number (3396559152).

Almost surely, 2114723706260 is an apocalyptic number.

114723706260 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 114723706260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163034839296).

114723706260 is an abundant number, since it is smaller than the sum of its proper divisors (211345972332).

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

114723706260 is a wasteful number, since it uses less digits than its factorization.

114723706260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35713 (or 35711 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 114723706260 in words is "one hundred fourteen billion, seven hundred twenty-three million, seven hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 751 876 1095 1460 1502 2190 2253 3004 3755 4380 4506 7510 9012 11265 15020 22530 34877 45060 54823 69754 104631 109646 139508 164469 174385 209262 219292 274115 328938 348770 418524 523155 548230 657876 697540 822345 1046310 1096460 1644690 2092620 2546021 3289380 5092042 7638063 10184084 12730105 15276126 25460210 26192627 30552252 38190315 50920420 52385254 76380630 78577881 104770508 130963135 152761260 157155762 261926270 314311524 392889405 523852540 785778810 1571557620 1912061771 3824123542 5736185313 7648247084 9560308855 11472370626 19120617710 22944741252 28680926565 38241235420 57361853130 114723706260