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12422241144 = 23321459118253
BaseRepresentation
bin10111001000110110…
…00101101101111000
31012001201122020022100
423210123011231320
5200420043204034
65412351423400
7616556210325
oct134433055570
935051566270
1012422241144
1152a50386a5
1224a8224b60
13122c792661
1485bb31b4c
154ca879099
hex2e46c5b78

12422241144 has 48 divisors (see below), whose sum is σ = 33666913800. Its totient is φ = 4137873984.

The previous prime is 12422241121. The next prime is 12422241157. The reversal of 12422241144 is 44114222421.

Adding to 12422241144 its reverse (44114222421), we get a palindrome (56536463565).

12422241144 is a `hidden beast` number, since 1 + 24 + 222 + 411 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45922 + ... + 164174.

Almost surely, 212422241144 is an apocalyptic number.

It is an amenable number.

12422241144 is an abundant number, since it is smaller than the sum of its proper divisors (21244672656).

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

12422241144 is a wasteful number, since it uses less digits than its factorization.

12422241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119724 (or 119717 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The spelling of 12422241144 in words is "twelve billion, four hundred twenty-two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1459 2918 4377 5836 8754 11672 13131 17508 26262 35016 52524 105048 118253 236506 354759 473012 709518 946024 1064277 1419036 2128554 2838072 4257108 8514216 172531127 345062254 517593381 690124508 1035186762 1380249016 1552780143 2070373524 3105560286 4140747048 6211120572 12422241144