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312334301332444 = 221747912137905229
BaseRepresentation
bin100011100000100001111111…
…1000101010000001111011100
31111221212212102110221221121211
41013001003333011100033130
5311414241122120114234
63024140221444034204
7122534260103106556
oct10701037705201734
91457785373857554
10312334301332444
1190579262622356
122b044591692964
1310537cc9183201
14571b0bcd544d6
1526197ea4b1164
hex11c10ff1503dc

312334301332444 has 48 divisors (see below), whose sum is σ = 580423488825600. Its totient is φ = 146553061395456.

The previous prime is 312334301332379. The next prime is 312334301332513. The reversal of 312334301332444 is 444233103433213.

It is a junction number, because it is equal to n+sod(n) for n = 312334301332397 and 312334301332406.

It is a congruent number.

It is an unprimeable number.

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, 35557222 + ... + 43462450.

It is an arithmetic number, because the mean of its divisors is an integer number (12092156017200).

Almost surely, 2312334301332444 is an apocalyptic number.

312334301332444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

312334301332444 is a deficient number, since it is larger than the sum of its proper divisors (268089187493156).

312334301332444 is a wasteful number, since it uses less digits than its factorization.

312334301332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906942 (or 7906940 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 312334301332444 its reverse (444233103433213), we get a palindrome (756567404765657).

The spelling of 312334301332444 in words is "three hundred twelve trillion, three hundred thirty-four billion, three hundred one million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 479 958 1213 1916 2426 4852 8143 16286 20621 32572 41242 82484 581027 1162054 2324108 7905229 9877459 15810458 19754918 31620916 39509836 134388893 268777786 537555572 3786604691 7573209382 9589042777 15146418764 19178085554 38356171108 64372279747 128744559494 163013727209 257489118988 326027454418 652054908836 4593151490183 9186302980366 18372605960732 78083575333111 156167150666222 312334301332444