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1420193249856 = 263221143326987
BaseRepresentation
bin10100101010101010000…
…111010011101001000000
312000202202201011011200200
4110222222013103221000
5141232023432443411
63004232222045200
7204414466305423
oct24525207235100
95022681134620
101420193249856
114a8334079837
121ab2aba19800
13a3c01344524
144ca484379ba
1526e20d4ee56
hex14aaa1d3a40

1420193249856 has 168 divisors, whose sum is σ = 4099617753504. Its totient is φ = 470048624640.

The previous prime is 1420193249833. The next prime is 1420193249887. The reversal of 1420193249856 is 6589423910241.

It is a happy number.

1420193249856 is a `hidden beast` number, since 1 + 420 + 193 + 24 + 9 + 8 + 5 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 52611595 + ... + 52638581.

It is an arithmetic number, because the mean of its divisors is an integer number (24402486628).

Almost surely, 21420193249856 is an apocalyptic number.

1420193249856 is a gapful number since it is divisible by the number (16) 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 1420193249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049808876752).

1420193249856 is an abundant number, since it is smaller than the sum of its proper divisors (2679424503648).

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

1420193249856 is a wasteful number, since it uses less digits than its factorization.

1420193249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27649 (or 27636 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1420193249856 in words is "one trillion, four hundred twenty billion, one hundred ninety-three million, two hundred forty-nine thousand, eight hundred fifty-six".