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442031141312 = 2643208776963
BaseRepresentation
bin1100110111010110001…
…10111111000111000000
31120020221220120120120022
412123223012333013000
524220234433010222
6535022153233012
743635641464415
oct6335306770700
91506856516508
10442031141312
11160512067a22
1271803402768
13328b644c567
141757441410c
15b771895042
hex66eb1bf1c0

442031141312 has 56 divisors (see below), whose sum is σ = 897996249216. Its totient is φ = 215769431808.

The previous prime is 442031141287. The next prime is 442031141323. The reversal of 442031141312 is 213141130244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5704943 + ... + 5781905.

Almost surely, 2442031141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442031141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448998124608).

442031141312 is an abundant number, since it is smaller than the sum of its proper divisors (455965107904).

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

442031141312 is a wasteful number, since it uses less digits than its factorization.

442031141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79105 (or 79095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 442031141312 its reverse (213141130244), we get a palindrome (655172271556).

The spelling of 442031141312 in words is "four hundred forty-two billion, thirty-one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2087 2752 4174 8348 16696 33392 66784 76963 89741 133568 153926 179482 307852 358964 615704 717928 1231408 1435856 2462816 2871712 3309409 4925632 5743424 6618818 13237636 26475272 52950544 105901088 160621781 211802176 321243562 642487124 1284974248 2569948496 5139896992 6906736583 10279793984 13813473166 27626946332 55253892664 110507785328 221015570656 442031141312