Search a number
-
+
330122140340112 = 24327929019175487
BaseRepresentation
bin100101100001111101000110…
…0111010000100111110010000
31121021212100221120020111111200
41023003322030322010332100
5321232210120411340422
63130040003450511200
7126351352246011321
oct11303721472047620
91537770846214450
10330122140340112
1196207016a5691a
1231037a70a35500
13112284cc2a1863
145b73dd54b6448
15282737b4732ac
hex12c3e8ce84f90

330122140340112 has 60 divisors (see below), whose sum is σ = 935578217733120. Its totient is φ = 108647793019584.

The previous prime is 330122140340051. The next prime is 330122140340117. The reversal of 330122140340112 is 211043041221033.

330122140340112 is a `hidden beast` number, since 3 + 30 + 1 + 2 + 214 + 0 + 3 + 401 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (330122140340117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14509576368 + ... + 14509599119.

It is an arithmetic number, because the mean of its divisors is an integer number (15592970295552).

Almost surely, 2330122140340112 is an apocalyptic number.

It is an amenable number.

330122140340112 is an abundant number, since it is smaller than the sum of its proper divisors (605456077393008).

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

330122140340112 is a wasteful number, since it uses less digits than its factorization.

330122140340112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29019175580 (or 29019175571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 330122140340112 its reverse (211043041221033), we get a palindrome (541165181561145).

The spelling of 330122140340112 in words is "three hundred thirty trillion, one hundred twenty-two billion, one hundred forty million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 29019175487 58038350974 87057526461 116076701948 174115052922 232153403896 261172579383 348230105844 464306807792 522345158766 696460211688 1044690317532 1392920423376 2089380635064 2292514863473 4178761270128 4585029726946 6877544590419 9170059453892 13755089180838 18340118907784 20632633771257 27510178361676 36680237815568 41265267542514 55020356723352 82530535085028 110040713446704 165061070170056 330122140340112