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3112442412112 = 241171428958073
BaseRepresentation
bin101101010010101100000…
…001100011110001010000
3102000112202110111122101001
4231102230001203301100
5401443240224141422
610341500350351344
7440603136663415
oct55225401436120
912015673448331
103112442412112
11a9aa856671a0
124232667bb554
1319766b045177
14aa90061a10c
1555e65e8e227
hex2d4ac063c50

3112442412112 has 80 divisors (see below), whose sum is σ = 6672897728640. Its totient is φ = 1394471321600.

The previous prime is 3112442412047. The next prime is 3112442412119. The reversal of 3112442412112 is 2112142442113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112442412119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53566308 + ... + 53624380.

It is an arithmetic number, because the mean of its divisors is an integer number (83411221608).

Almost surely, 23112442412112 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 3112442412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336448864320).

3112442412112 is an abundant number, since it is smaller than the sum of its proper divisors (3560455316528).

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

3112442412112 is a wasteful number, since it uses less digits than its factorization.

3112442412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62452 (or 62446 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 3112442412112 its reverse (2112142442113), we get a palindrome (5224584854225).

The spelling of 3112442412112 in words is "three trillion, one hundred twelve billion, four hundred forty-two million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 4289 6248 8578 12496 17156 34312 47179 58073 68624 94358 116146 188716 232292 304519 377432 464584 609038 638803 754864 929168 1218076 1277606 2436152 2555212 3349709 4123183 4872304 5110424 6699418 8246366 10220848 13398836 16492732 26797672 32985464 45355013 53595344 65970928 90710026 181420052 249075097 362840104 498150194 725680208 996300388 1992600776 2739826067 3985201552 5479652134 10959304268 17684331887 21918608536 35368663774 43837217072 70737327548 141474655096 194527650757 282949310192 389055301514 778110603028 1556221206056 3112442412112