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1424679955488 = 25321719111713711
BaseRepresentation
bin10100101110110101100…
…010101110110000100000
312001012100101200102202100
4110232311202232300200
5141320221032033423
63010253335450400
7204633616546026
oct24566542566040
95035311612670
101424679955488
114aa22676a119
121b0142526a00
13a4467a44b2a
144cd52282716
15270d4bb4343
hex14bb58aec20

1424679955488 has 288 divisors, whose sum is σ = 4519901917440. Its totient is φ = 423024353280.

The previous prime is 1424679955453. The next prime is 1424679955499. The reversal of 1424679955488 is 8845599764241.

It is a happy number.

1424679955488 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 6 + 7 + 99 + 55 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14246799554882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 103900953 + ... + 103914663.

It is an arithmetic number, because the mean of its divisors is an integer number (15694103880).

Almost surely, 21424679955488 is an apocalyptic number.

1424679955488 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 1424679955488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259950958720).

1424679955488 is an abundant number, since it is smaller than the sum of its proper divisors (3095221961952).

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

1424679955488 is a wasteful number, since it uses less digits than its factorization.

1424679955488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880 (or 14869 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 1424679955488 in words is "one trillion, four hundred twenty-four billion, six hundred seventy-nine million, nine hundred fifty-five thousand, four hundred eighty-eight".