Search a number
-
+
114340003023132 = 22323598847106393
BaseRepresentation
bin11001111111110111011011…
…010000111000100100011100
3112222211210112101220122020200
4121333313123100320210130
5104441321311233220012
61043103023334343500
733040535602530045
oct3177673320704434
9488753471818220
10114340003023132
1133483360961457
12109a7a377bab90
134ba52a6799083
14203412b1398cc
15d343a4c5e3dc
hex67fddb43891c

114340003023132 has 36 divisors (see below), whose sum is σ = 289831205467440. Its totient is φ = 38007169060032.

The previous prime is 114340003023131. The next prime is 114340003023137. The reversal of 114340003023132 is 231320300043411.

It is a happy number.

114340003023132 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 40 + 0 + 0 + 302 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 114340003023096 and 114340003023105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114340003023131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4423540273 + ... + 4423566120.

It is an arithmetic number, because the mean of its divisors is an integer number (8050866818540).

Almost surely, 2114340003023132 is an apocalyptic number.

114340003023132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114340003023132 is an abundant number, since it is smaller than the sum of its proper divisors (175491202444308).

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

114340003023132 is a wasteful number, since it uses less digits than its factorization.

114340003023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847106762 (or 8847106757 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114340003023132 its reverse (231320300043411), we get a palindrome (345660303066543).

The spelling of 114340003023132 in words is "one hundred fourteen trillion, three hundred forty billion, three million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 12924 8847106393 17694212786 26541319179 35388425572 53082638358 79623957537 106165276716 159247915074 318495830148 3176111195087 6352222390174 9528333585261 12704444780348 19056667170522 28585000755783 38113334341044 57170001511566 114340003023132