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12004443140140 = 2251174489732533
BaseRepresentation
bin1010111010110000000010…
…0100011011000000101100
31120111121120021122000020101
42232230000210123000230
53033140044420441030
641310433130000444
72346202202044603
oct256540044330054
946447507560211
1012004443140140
113909068219850
12141a65b876124
136910250787a9
142d7037b26a3a
1515c3e302b7ca
hexaeb0091b02c

12004443140140 has 48 divisors (see below), whose sum is σ = 27501494660640. Its totient is φ = 4365187489280.

The previous prime is 12004443140087. The next prime is 12004443140147. The reversal of 12004443140140 is 4104134440021.

It is a junction number, because it is equal to n+sod(n) for n = 12004443140099 and 12004443140108.

It is not an unprimeable number, because it can be changed into a prime (12004443140147) 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, 16021314 + ... + 16753846.

It is an arithmetic number, because the mean of its divisors is an integer number (572947805430).

Almost surely, 212004443140140 is an apocalyptic number.

12004443140140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004443140140 is an abundant number, since it is smaller than the sum of its proper divisors (15497051520500).

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

12004443140140 is a wasteful number, since it uses less digits than its factorization.

12004443140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807042 (or 807040 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12004443140140 its reverse (4104134440021), we get a palindrome (16108577580161).

The spelling of 12004443140140 in words is "twelve trillion, four billion, four hundred forty-three million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 74489 148978 297956 372445 732533 744890 819379 1465066 1489780 1638758 2930132 3277516 3662665 4096895 7325330 8057863 8193790 14650660 16115726 16387580 32231452 40289315 80578630 161157260 54565650637 109131301274 218262602548 272828253185 545656506370 600222157007 1091313012740 1200444314014 2400888628028 3001110785035 6002221570070 12004443140140