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330121241442 = 23423129768311
BaseRepresentation
bin1001100110111001100…
…00100110001101100010
31011120002201100122010000
410303130300212031202
520402042014211232
6411353335520430
732564466152646
oct4633460461542
91146081318100
10330121241442
1111800491a873
1253b90b29116
13251903639b5
1411d9970ac26
1588c1c8627c
hex4cdcc26362

330121241442 has 80 divisors (see below), whose sum is σ = 772484118912. Its totient is φ = 105173354880.

The previous prime is 330121241441. The next prime is 330121241453. The reversal of 330121241442 is 244142121033.

330121241442 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 212 + 4 + 1 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330121241441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4798467 + ... + 4866777.

Almost surely, 2330121241442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121241442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242059456).

330121241442 is an abundant number, since it is smaller than the sum of its proper divisors (442362877470).

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

330121241442 is a wasteful number, since it uses less digits than its factorization.

330121241442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69645 (or 69636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 330121241442 its reverse (244142121033), we get a palindrome (574263362475).

The spelling of 330121241442 in words is "three hundred thirty billion, one hundred twenty-one million, two hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1297 1863 2594 3726 3891 7782 11673 23346 29831 35019 59662 68311 70038 89493 105057 136622 178986 204933 210114 268479 409866 536958 614799 805437 1229598 1571153 1610874 1844397 2416311 3142306 3688794 4713459 4832622 5533191 9426918 11066382 14140377 28280754 42421131 84842262 88599367 127263393 177198734 254526786 265798101 531596202 797394303 1594788606 2037785441 2392182909 4075570882 4784365818 6113356323 7176548727 12226712646 14353097454 18340068969 36680137938 55020206907 110040413814 165060620721 330121241442