Search a number
-
+
332433244320331 = 7119534530235951
BaseRepresentation
bin100101110010110001010010…
…1011100000111001001001011
31121121001022022101010000111111
41023211202211130013021023
5322033041241021222311
63135005420225511151
7130010336460505150
oct11345424534071113
91547038271100444
10332433244320331
1196a181689a1660
123134b958aa24b7
1311365421c9750b
145c13bd7ac4227
15286754188cd21
hex12e58a570724b

332433244320331 has 16 divisors (see below), whose sum is σ = 414897129427968. Its totient is φ = 258767077464000.

The previous prime is 332433244320329. The next prime is 332433244320337. The reversal of 332433244320331 is 133023442334233.

It is not a de Polignac number, because 332433244320331 - 21 = 332433244320329 is a prime.

It is a super-2 number, since 2×3324332443203312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332433244320337) 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 15 ways as a sum of consecutive naturals, for example, 2265044595 + ... + 2265191356.

It is an arithmetic number, because the mean of its divisors is an integer number (25931070589248).

Almost surely, 2332433244320331 is an apocalyptic number.

332433244320331 is a deficient number, since it is larger than the sum of its proper divisors (82463885107637).

332433244320331 is a wasteful number, since it uses less digits than its factorization.

332433244320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530236922.

The product of its (nonzero) digits is 1119744, while the sum is 40.

Adding to 332433244320331 its reverse (133023442334233), we get a palindrome (465456686654564).

The spelling of 332433244320331 in words is "three hundred thirty-two trillion, four hundred thirty-three billion, two hundred forty-four million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 11 77 953 6671 10483 73381 4530235951 31711651657 49832595461 348828168227 4317314861303 30221204029121 47490463474333 332433244320331