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1426710042720 = 2532517411421479
BaseRepresentation
bin10100110000101110100…
…010111001100001100000
312001101120212122112220100
4110300232202321201200
5141333400232331340
63011231015342400
7205035130161504
oct24605642714140
95041525575810
101426710042720
11500078696766
121b060a381a00
13a46cc4c4a91
144d0a5b30304
15271a301b830
hex14c2e8b9860

1426710042720 has 288 divisors, whose sum is σ = 5280775456320. Its totient is φ = 349342433280.

The previous prime is 1426710042713. The next prime is 1426710042733. The reversal of 1426710042720 is 272400176241.

1426710042720 is a `hidden beast` number, since 142 + 6 + 71 + 0 + 0 + 427 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 292941 + ... + 1714419.

It is an arithmetic number, because the mean of its divisors is an integer number (18336025890).

Almost surely, 21426710042720 is an apocalyptic number.

1426710042720 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 1426710042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640387728160).

1426710042720 is an abundant number, since it is smaller than the sum of its proper divisors (3854065413600).

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

1426710042720 is a wasteful number, since it uses less digits than its factorization.

1426710042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421558 (or 1421547 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1426710042720 in words is "one trillion, four hundred twenty-six billion, seven hundred ten million, forty-two thousand, seven hundred twenty".