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14122101760 = 210513331641
BaseRepresentation
bin11010010011011111…
…00010110000000000
31100110012020002200221
431021233202300000
5212410224224020
610253153352424
71006646612224
oct151157426000
940405202627
1014122101760
115a97616088
1228a1568714
1314409c0640
1497d7bc784
15579c016aa
hex349be2c00

14122101760 has 176 divisors, whose sum is σ = 36649684512. Its totient is φ = 5190451200.

The previous prime is 14122101757. The next prime is 14122101761. The reversal of 14122101760 is 6710122141.

It is not an unprimeable number, because it can be changed into a prime (14122101761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22031040 + ... + 22031680.

Almost surely, 214122101760 is an apocalyptic number.

14122101760 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 14122101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324842256).

14122101760 is an abundant number, since it is smaller than the sum of its proper divisors (22527582752).

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

14122101760 is a wasteful number, since it uses less digits than its factorization.

14122101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 14122101760 in words is "fourteen billion, one hundred twenty-two million, one hundred one thousand, seven hundred sixty".