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12444123140 = 2257110186767
BaseRepresentation
bin10111001011011101…
…00100000000000100
31012010020210221202122
423211232210000010
5200441143420030
65414452425112
7620243205251
oct134556440004
935106727678
1012444123140
115306423999
1224b3618198
131234184597
148609ca428
154cc74c8e5
hex2e5ba4004

12444123140 has 48 divisors (see below), whose sum is σ = 26763416064. Its totient is φ = 4858896000.

The previous prime is 12444123101. The next prime is 12444123151. The reversal of 12444123140 is 4132144421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100037 + ... + 186803.

It is an arithmetic number, because the mean of its divisors is an integer number (557571168).

Almost surely, 212444123140 is an apocalyptic number.

12444123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444123140 is an abundant number, since it is smaller than the sum of its proper divisors (14319292924).

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

12444123140 is a wasteful number, since it uses less digits than its factorization.

12444123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86948 (or 86946 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12444123140 its reverse (4132144421), we get a palindrome (16576267561).

The spelling of 12444123140 in words is "twelve billion, four hundred forty-four million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 71 101 142 202 284 355 404 505 710 1010 1420 2020 7171 14342 28684 35855 71710 86767 143420 173534 347068 433835 867670 1735340 6160457 8763467 12320914 17526934 24641828 30802285 35053868 43817335 61604570 87634670 123209140 175269340 622206157 1244412314 2488824628 3111030785 6222061570 12444123140