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330431424000041 = 71316322276776377
BaseRepresentation
bin100101100100001101000111…
…1101001100111000000101001
31121022221221021002000022112102
41023020122033221213000221
5321302242024021000131
63130434033421023145
7126412611502520630
oct11310321751470051
91538857232008472
10330431424000041
11963161a8578241
12310879a73b4ab5
131124b71b579c60
145b84d7558c517
15283042db911cb
hex12c868fa67029

330431424000041 has 16 divisors (see below), whose sum is σ = 409179828511104. Its totient is φ = 259836319649664.

The previous prime is 330431424000037. The next prime is 330431424000047. The reversal of 330431424000041 is 140000424134033.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 330431424000041 - 22 = 330431424000037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330431423999968 and 330431424000013.

It is not an unprimeable number, because it can be changed into a prime (330431424000047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11138373356 + ... + 11138403021.

It is an arithmetic number, because the mean of its divisors is an integer number (25573739281944).

Almost surely, 2330431424000041 is an apocalyptic number.

It is an amenable number.

330431424000041 is a deficient number, since it is larger than the sum of its proper divisors (78748404511063).

330431424000041 is a wasteful number, since it uses less digits than its factorization.

330431424000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22276776560.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 330431424000041 its reverse (140000424134033), we get a palindrome (470431848134074).

The spelling of 330431424000041 in words is "three hundred thirty trillion, four hundred thirty-one billion, four hundred twenty-four million, forty-one", and thus it is an aban number.

Divisors: 1 7 13 91 163 1141 2119 14833 22276776377 155937434639 289598092901 2027186650307 3631114549451 25417801846157 47204489142863 330431424000041