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1410455312112 = 243721131721559
BaseRepresentation
bin10100100001100101101…
…100000001011011110000
311222211122001111200101210
4110201211230001123300
5141102103024441422
62555542040200120
7203621253224400
oct24414554013360
94884561450353
101410455312112
114a4197287000
121a9432769040
13a300ba30ba2
144c3a3010800
1526a50eaa10c
hex14865b016f0

1410455312112 has 720 divisors, whose sum is σ = 4955649603840. Its totient is φ = 344580741120.

The previous prime is 1410455312093. The next prime is 1410455312143. The reversal of 1410455312112 is 2112135540141.

It is a self number, because there is not a number n which added to its sum of digits gives 1410455312112.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 904717189 + ... + 904718747.

It is an arithmetic number, because the mean of its divisors is an integer number (6882846672).

Almost surely, 21410455312112 is an apocalyptic number.

1410455312112 is a gapful number since it is divisible by the number (12) 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 1410455312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477824801920).

1410455312112 is an abundant number, since it is smaller than the sum of its proper divisors (3545194291728).

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

1410455312112 is a wasteful number, since it uses less digits than its factorization.

1410455312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1410455312112 in words is "one trillion, four hundred ten billion, four hundred fifty-five million, three hundred twelve thousand, one hundred twelve".