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1416445406244 = 22341110321118287
BaseRepresentation
bin10100100111001010101…
…110011010110000100100
312000102002111220222210000
4110213022232122300210
5141201340010444434
63002412300501300
7204222560204601
oct24471256326044
95012074828700
101416445406244
114a6790561420
121aa62484a830
13a3754a3bb9b
144c7b07a16a8
1526ca1cd7b99
hex149cab9ac24

1416445406244 has 240 divisors, whose sum is σ = 4098265307136. Its totient is φ = 423021009600.

The previous prime is 1416445406231. The next prime is 1416445406261. The reversal of 1416445406244 is 4426045446141.

1416445406244 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 4 + 540 + 62 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1416445406244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77447269 + ... + 77465555.

Almost surely, 21416445406244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416445406244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049132653568).

1416445406244 is an abundant number, since it is smaller than the sum of its proper divisors (2681819900892).

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

1416445406244 is a wasteful number, since it uses less digits than its factorization.

1416445406244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1416445406244 in words is "one trillion, four hundred sixteen billion, four hundred forty-five million, four hundred six thousand, two hundred forty-four".