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31431122343424 = 29438916041001
BaseRepresentation
bin1110010010110001000001…
…11000011101011000000000
311010021210012221212102002001
413021120200320131120000
513104431414304442144
6150503131441433344
76422552340530326
oct711304070353000
9133253187772061
1031431122343424
11a018956178621
12363768b33b854
13146cc32ab2b3b
147a93bb0b7d16
153978e035dbd4
hex1c9620e1d600

31431122343424 has 80 divisors (see below), whose sum is σ = 64983382382160. Its totient is φ = 15177609216000.

The previous prime is 31431122343373. The next prime is 31431122343539. The reversal of 31431122343424 is 42434322113413.

It is a super-3 number, since 3×314311223434243 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6061077 + ... + 9979924.

It is an arithmetic number, because the mean of its divisors is an integer number (812292279777).

Almost surely, 231431122343424 is an apocalyptic number.

It is an amenable number.

31431122343424 is an abundant number, since it is smaller than the sum of its proper divisors (33552260038736).

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

31431122343424 is an equidigital number, since it uses as much as digits as its factorization.

31431122343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041151 (or 16041135 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 31431122343424 its reverse (42434322113413), we get a palindrome (73865444456837).

The spelling of 31431122343424 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred twenty-two million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 89 128 172 178 256 344 356 512 688 712 1376 1424 2752 2848 3827 5504 5696 7654 11008 11392 15308 22016 22784 30616 45568 61232 122464 244928 489856 979712 1959424 16041001 32082002 64164004 128328008 256656016 513312032 689763043 1026624064 1379526086 1427649089 2053248128 2759052172 2855298178 4106496256 5518104344 5710596356 8212992512 11036208688 11421192712 22072417376 22842385424 44144834752 45684770848 61388910827 88289669504 91369541696 122777821654 176579339008 182739083392 245555643308 353158678016 365478166784 491111286616 730956333568 982222573232 1964445146464 3928890292928 7857780585856 15715561171712 31431122343424