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8354142801 = 32304672
BaseRepresentation
bin1111100011111001…
…00001101001010001
3210120012210102111100
413301330201221101
5114102130032201
63500550135013
7414011020314
oct76174415121
923505712440
108354142801
1135a7772154
121751951469
13a31a19b84
1459373297b
1533d651886
hex1f1f21a51

8354142801 has 9 divisors (see below), whose sum is σ = 12067491241. Its totient is φ = 5569245732.

The previous prime is 8354142779. The next prime is 8354142829. The reversal of 8354142801 is 1082414538.

The square root of 8354142801 is 91401.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8354142801 - 27 = 8354142673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8354142301) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 258970 + ... + 289436.

Almost surely, 28354142801 is an apocalyptic number.

8354142801 is the 91401-st square number.

8354142801 is the 45701-st centered octagonal number.

It is an amenable number.

8354142801 is a deficient number, since it is larger than the sum of its proper divisors (3713348440).

8354142801 is an frugal number, since it uses more digits than its factorization.

8354142801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60940 (or 30470 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 8354142801 is about 2029.0868275869.

Multiplying 8354142801 by its sum of digits (36), we get a square (300749140836 = 5484062).

The spelling of 8354142801 in words is "eight billion, three hundred fifty-four million, one hundred forty-two thousand, eight hundred one".

Divisors: 1 3 9 30467 91401 274203 928238089 2784714267 8354142801