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1416226069720 = 2357119712013947
BaseRepresentation
bin10100100110111101101…
…001101101110011011000
312000101112020012112122001
4110212331221231303120
5141200412333212340
63002334423410344
7204214254653530
oct24467551556330
95011466175561
101416226069720
114a6688771670
121aa5832b39b4
13a371b474467
144c78d5c84c0
1526c8c90e29a
hex149bda6dcd8

1416226069720 has 256 divisors, whose sum is σ = 4018106373120. Its totient is φ = 436396032000.

The previous prime is 1416226069717. The next prime is 1416226069723. The reversal of 1416226069720 is 279606226141.

It is an interprime number because it is at equal distance from previous prime (1416226069717) and next prime (1416226069723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416226069723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358808787 + ... + 358812733.

It is an arithmetic number, because the mean of its divisors is an integer number (15695728020).

Almost surely, 21416226069720 is an apocalyptic number.

1416226069720 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 1416226069720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009053186560).

1416226069720 is an abundant number, since it is smaller than the sum of its proper divisors (2601880303400).

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

1416226069720 is a wasteful number, since it uses less digits than its factorization.

1416226069720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1416226069720 in words is "one trillion, four hundred sixteen billion, two hundred twenty-six million, sixty-nine thousand, seven hundred twenty".