Search a number
-
+
114200505396 = 223317389159899
BaseRepresentation
bin110101001011011100…
…0010110110000110100
3101220202211101202112000
41222112320112300310
53332340312133041
6124244001055300
711151665164605
oct1522670266064
9356684352460
10114200505396
1144483231a7a
121a171627530
13a9cc821963
14575500bdac
152e85c76bb6
hex1a96e16c34

114200505396 has 96 divisors (see below), whose sum is σ = 314299440000. Its totient is φ = 35735284224.

The previous prime is 114200505383. The next prime is 114200505449. The reversal of 114200505396 is 693505002411.

114200505396 is a `hidden beast` number, since 1 + 14 + 200 + 50 + 5 + 396 = 666.

114200505396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114200505396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634255 + ... + 794153.

It is an arithmetic number, because the mean of its divisors is an integer number (3273952500).

Almost surely, 2114200505396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114200505396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157149720000).

114200505396 is an abundant number, since it is smaller than the sum of its proper divisors (200098934604).

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

114200505396 is a wasteful number, since it uses less digits than its factorization.

114200505396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160318 (or 160310 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 114200505396 in words is "one hundred fourteen billion, two hundred million, five hundred five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 389 459 612 778 918 1167 1556 1836 2334 3501 4668 6613 7002 10503 13226 14004 19839 21006 26452 39678 42012 59517 79356 119034 159899 178551 238068 319798 357102 479697 639596 714204 959394 1439091 1918788 2718283 2878182 4317273 5436566 5756364 8154849 8634546 10873132 16309698 17269092 24464547 32619396 48929094 62200711 73393641 97858188 124401422 146787282 186602133 248802844 293574564 373204266 559806399 746408532 1057412087 1119612798 1679419197 2114824174 2239225596 3172236261 3358838394 4229648348 6344472522 6717676788 9516708783 12688945044 19033417566 28550126349 38066835132 57100252698 114200505396