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114325344220 = 225192317375611
BaseRepresentation
bin110101001111001010…
…0100100111111011100
3101221002112022020012011
41222132110210333130
53333114242003340
6124304220521004
711155042251313
oct1523624447734
9357075266164
10114325344220
114453774925a
121a1a73b0164
13aa1c651199
14576782727a
152e91bd60ea
hex1a9e524fdc

114325344220 has 96 divisors (see below), whose sum is σ = 265234798080. Its totient is φ = 41199586560.

The previous prime is 114325344193. The next prime is 114325344229. The reversal of 114325344220 is 22443523411.

114325344220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114325344229) 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, 1474215 + ... + 1549825.

It is an arithmetic number, because the mean of its divisors is an integer number (2762862480).

Almost surely, 2114325344220 is an apocalyptic number.

114325344220 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 114325344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132617399040).

114325344220 is an abundant number, since it is smaller than the sum of its proper divisors (150909453860).

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

114325344220 is a wasteful number, since it uses less digits than its factorization.

114325344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75835 (or 75833 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 114325344220 its reverse (22443523411), we get a palindrome (136768867631).

The spelling of 114325344220 in words is "one hundred fourteen billion, three hundred twenty-five million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 173 190 230 346 380 437 460 692 865 874 1730 1748 2185 3287 3460 3979 4370 6574 7958 8740 13148 15916 16435 19895 32870 39790 65740 75601 75611 79580 151202 151222 302404 302444 378005 378055 756010 756110 1436609 1512020 1512220 1739053 2873218 3478106 5746436 6956212 7183045 8695265 13080703 14366090 17390530 26161406 28732180 33042007 34781060 52322812 65403515 66084014 130807030 132168028 165210035 248533357 261614060 300856169 330420070 497066714 601712338 660840140 994133428 1203424676 1242666785 1504280845 2485333570 3008561690 4970667140 5716267211 6017123380 11432534422 22865068844 28581336055 57162672110 114325344220