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3142123143224 = 2313127271877843
BaseRepresentation
bin101101101110010101001…
…000100100000000111000
3102010101100222001000011112
4231232111020210000320
5402440032011040344
610403245455415452
7443003512020242
oct55562510440070
912111328030145
103142123143224
11100162666583a
12428b6a824588
1319a3bb223a60
14ac1184b7092
1556b01a4ec9e
hex2db95224038

3142123143224 has 64 divisors (see below), whose sum is σ = 6418233507840. Its totient is φ = 1433480872320.

The previous prime is 3142123143223. The next prime is 3142123143233. The reversal of 3142123143224 is 4223413212413.

It is a happy number.

It is a super-2 number, since 2×31421231432242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142123143221) 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, 3140447 + ... + 4018289.

It is an arithmetic number, because the mean of its divisors is an integer number (100284898560).

Almost surely, 23142123143224 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 3142123143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209116753920).

3142123143224 is an abundant number, since it is smaller than the sum of its proper divisors (3276110364616).

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

3142123143224 is a wasteful number, since it uses less digits than its factorization.

3142123143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878260 (or 878256 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 3142123143224 its reverse (4223413212413), we get a palindrome (7365536355637).

The spelling of 3142123143224 in words is "three trillion, one hundred forty-two billion, one hundred twenty-three million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 127 254 271 508 542 1016 1084 1651 2168 3302 3523 6604 7046 13208 14092 28184 34417 68834 137668 275336 447421 877843 894842 1755686 1789684 3511372 3579368 7022744 11411959 22823918 45647836 91295672 111486061 222972122 237895453 445944244 475790906 891888488 951581812 1449318793 1903163624 2898637586 3092640889 5797275172 6185281778 11594550344 12370563556 24741127112 30212722531 60425445062 120850890124 241701780248 392765392903 785530785806 1571061571612 3142123143224