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1422914448384 = 210321113792173
BaseRepresentation
bin10100101101001100010…
…011110110110000000000
312001000210100120101022100
4110231030103312300000
5141303112044322014
63005402230510400
7204542101152012
oct24551423666000
95030710511270
101422914448384
114a9500124540
121ab92b205400
13a4246040a80
144cc259c81b2
152702ebc1009
hex14b4c4f6c00

1422914448384 has 792 divisors, whose sum is σ = 4917060085392. Its totient is φ = 390708264960.

The previous prime is 1422914448377. The next prime is 1422914448391. The reversal of 1422914448384 is 4838444192241.

1422914448384 is a `hidden beast` number, since 1 + 42 + 2 + 9 + 1 + 44 + 483 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (1422914448377) and next prime (1422914448391).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×14229144483842 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1422914448384.

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 71 ways as a sum of consecutive naturals, for example, 8224938922 + ... + 8224939094.

Almost surely, 21422914448384 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 1422914448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458530042696).

1422914448384 is an abundant number, since it is smaller than the sum of its proper divisors (3494145637008).

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

1422914448384 is a wasteful number, since it uses less digits than its factorization.

1422914448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 281 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 1422914448384 in words is "one trillion, four hundred twenty-two billion, nine hundred fourteen million, four hundred forty-eight thousand, three hundred eighty-four".