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3046243131801 = 32349216672
BaseRepresentation
bin101100010101000010001…
…111010110000110011001
3101210012212220212202202100
4230111002033112012121
5344402201220204201
610251231430154013
7433040513251242
oct54250217260631
911705786782670
103046243131801
11a749a4918081
124124707b2909
1319134b15769c
14a76206c1cc9
155438e38c886
hex2c5423d6199

3046243131801 has 27 divisors (see below), whose sum is σ = 4415421635391. Its totient is φ = 2023794998064.

The previous prime is 3046243131781. The next prime is 3046243131821. The reversal of 3046243131801 is 1081313426403.

The square root of 3046243131801 is 1745349.

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

3046243131801 is a `hidden beast` number, since 3 + 0 + 4 + 624 + 3 + 13 + 18 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3046243131781) and next prime (3046243131821).

It can be written as a sum of positive squares in only one way, i.e., 2235919099401 + 810324032400 = 1495299^2 + 900180^2 .

It is not a de Polignac number, because 3046243131801 - 217 = 3046243000729 is a prime.

It is a super-4 number, since 4×30462431318014 (a number of 51 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3046243131821) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1827379570 + ... + 1827381236.

Almost surely, 23046243131801 is an apocalyptic number.

3046243131801 is the 1745349-th square number.

3046243131801 is the 872675-th centered octagonal number.

It is an amenable number.

3046243131801 is a deficient number, since it is larger than the sum of its proper divisors (1369178503590).

3046243131801 is an frugal number, since it uses more digits than its factorization.

3046243131801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 3046243131801 by its sum of digits (36), we get a square (109664752744836 = 104720942).

The spelling of 3046243131801 in words is "three trillion, forty-six billion, two hundred forty-three million, one hundred thirty-one thousand, eight hundred one".

Divisors: 1 3 9 349 1047 1667 3141 5001 15003 121801 365403 581783 1096209 1745349 2778889 5236047 8336667 25010001 203042267 609126801 969832261 1827380403 2909496783 8728490349 338471459089 1015414377267 3046243131801