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1442445262848 = 220371737
BaseRepresentation
bin10100111111011000011…
…100000000000000000000
312002220012111020120000000
4110333120130000000000
5142113111441402343
63022352240000000
7206133065302032
oct24773034000000
95086174216000
101442445262848
11506812823517
121b3680000000
13a6039462215
144db59859c52
15277c465ded3
hex14fd8700000

1442445262848 has 672 divisors, whose sum is σ = 4705000211520. Its totient is φ = 440301256704.

The previous prime is 1442445262829. The next prime is 1442445262879. The reversal of 1442445262848 is 8482625442441.

1442445262848 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 4 + 5 + 2 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×14424452628482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1442445262794 and 1442445262803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38985007086 + ... + 38985007122.

It is an arithmetic number, because the mean of its divisors is an integer number (7001488410).

Almost surely, 21442445262848 is an apocalyptic number.

1442445262848 is a gapful number since it is divisible by the number (18) 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 1442445262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352500105760).

1442445262848 is an abundant number, since it is smaller than the sum of its proper divisors (3262554948672).

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

1442445262848 is an frugal number, since it uses more digits than its factorization.

1442445262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 54.

The spelling of 1442445262848 in words is "one trillion, four hundred forty-two billion, four hundred forty-five million, two hundred sixty-two thousand, eight hundred forty-eight".