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12143774560140 = 223255913720834007
BaseRepresentation
bin1011000010110111000101…
…0111100110111110001100
31120222221012112021111122100
42300231301113212332030
53042430422241411030
641454434545515100
72362234024424226
oct260556127467614
946887175244570
1012143774560140
113962167173933
121441665642a90
136a11cb27c802
142dda94639416
15160d4a1d5360
hexb0b715e6f8c

12143774560140 has 288 divisors, whose sum is σ = 37761427791360. Its totient is φ = 3157910443008.

The previous prime is 12143774560121. The next prime is 12143774560163. The reversal of 12143774560140 is 4106547734121.

12143774560140 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 7 + 74 + 560 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3030638017 + ... + 3030642023.

It is an arithmetic number, because the mean of its divisors is an integer number (131116068720).

Almost surely, 212143774560140 is an apocalyptic number.

12143774560140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143774560140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880713895680).

12143774560140 is an abundant number, since it is smaller than the sum of its proper divisors (25617653231220).

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

12143774560140 is a wasteful number, since it uses less digits than its factorization.

12143774560140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12143774560140 in words is "twelve trillion, one hundred forty-three billion, seven hundred seventy-four million, five hundred sixty thousand, one hundred forty".