Search a number
-
+
114230343444 = 223759227101537
BaseRepresentation
bin110101001100010101…
…0001011011100010100
3101220211220112200121220
41222120222023130110
53332420431442234
6124250544410340
711152506620160
oct1523052133424
9356756480556
10114230343444
1144499061818
121a17b6169b0
13aa05a6acc9
145758d77ca0
152e886bca49
hex1a98a8b714

114230343444 has 96 divisors (see below), whose sum is σ = 311144924160. Its totient is φ = 31942413312.

The previous prime is 114230343443. The next prime is 114230343457. The reversal of 114230343444 is 444343032411.

It is a super-2 number, since 2×1142303434442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114230343443) by changing a digit.

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, 1074244 + ... + 1175780.

It is an arithmetic number, because the mean of its divisors is an integer number (3241092960).

Almost surely, 2114230343444 is an apocalyptic number.

114230343444 is a gapful number since it is divisible by the number (14) 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 114230343444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155572462080).

114230343444 is an abundant number, since it is smaller than the sum of its proper divisors (196914580716).

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

114230343444 is a wasteful number, since it uses less digits than its factorization.

114230343444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101837 (or 101835 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 114230343444 its reverse (444343032411), we get a palindrome (558573375855).

The spelling of 114230343444 in words is "one hundred fourteen billion, two hundred thirty million, three hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 227 236 354 413 454 681 708 826 908 1239 1362 1589 1652 2478 2724 3178 4767 4956 6356 9534 13393 19068 26786 40179 53572 80358 93751 101537 160716 187502 203074 281253 304611 375004 406148 562506 609222 710759 1125012 1218444 1421518 2132277 2843036 4264554 5990683 8529108 11981366 17972049 23048899 23962732 35944098 41934781 46097798 69146697 71888196 83869562 92195596 125804343 138293394 161342293 167739124 251608686 276586788 322684586 484026879 503217372 645369172 968053758 1359885041 1936107516 2719770082 4079655123 5439540164 8159310246 9519195287 16318620492 19038390574 28557585861 38076781148 57115171722 114230343444