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4003141313 = 41457213649
BaseRepresentation
bin1110111010011011…
…0001011011000001
3101022222121122112002
43232212301123001
531144301010223
61501121113345
7201126065633
oct35646613301
911288548462
104003141313
11177473a356
12938788855
134ba481492
1429d930a53
15186695e28
hexee9b16c1

4003141313 has 8 divisors (see below), whose sum is σ = 4109771400. Its totient is φ = 3896939520.

The previous prime is 4003141309. The next prime is 4003141319. The reversal of 4003141313 is 3131413004.

It can be written as a sum of positive squares in 4 ways, for example, as 299566864 + 3703574449 = 17308^2 + 60857^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4003141313 - 22 = 4003141309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4003141319) 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 7 ways as a sum of consecutive naturals, for example, 88088 + ... + 125561.

It is an arithmetic number, because the mean of its divisors is an integer number (513721425).

Almost surely, 24003141313 is an apocalyptic number.

It is an amenable number.

4003141313 is a deficient number, since it is larger than the sum of its proper divisors (106630087).

4003141313 is a wasteful number, since it uses less digits than its factorization.

4003141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214147.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4003141313 is about 63270.3825893285. The cubic root of 4003141313 is about 1587.8164868663.

Adding to 4003141313 its reverse (3131413004), we get a palindrome (7134554317).

The spelling of 4003141313 in words is "four billion, three million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 41 457 18737 213649 8759609 97637593 4003141313