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1004140303333 = 7398669139409
BaseRepresentation
bin11101001110010110110…
…11010001001111100101
310112222212021010121220221
432213023123101033211
5112422434404201313
62045143511324341
7132355350515146
oct16471333211745
93488767117827
101004140303333
11357943029092
121427386806b1
13738c7ca267b
143685a27dacd
151b1beea2c8d
hexe9cb6d13e5

1004140303333 has 8 divisors (see below), whose sum is σ = 1017913267800. Its totient is φ = 990367815168.

The previous prime is 1004140303291. The next prime is 1004140303399. The reversal of 1004140303333 is 3333030414001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48628188324 + 955512115009 = 220518^2 + 977503^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004140303333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004140303298 and 1004140303307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004140300333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7133133 + ... + 7272541.

It is an arithmetic number, because the mean of its divisors is an integer number (127239158475).

Almost surely, 21004140303333 is an apocalyptic number.

It is an amenable number.

1004140303333 is a deficient number, since it is larger than the sum of its proper divisors (13772964467).

1004140303333 is an equidigital number, since it uses as much as digits as its factorization.

1004140303333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238151.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1004140303333 its reverse (3333030414001), we get a palindrome (4337170717334).

The spelling of 1004140303333 in words is "one trillion, four billion, one hundred forty million, three hundred three thousand, three hundred thirty-three".

Divisors: 1 73 98669 139409 7202837 10176857 13755346621 1004140303333