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30040004003 = 1729109691809
BaseRepresentation
bin11011111110100001…
…100001010110100011
32212112112120022112212
4123332201201112203
5443010220112003
621444501312335
72112263551412
oct337641412643
985475508485
1030040004003
1111815887699
1259a44056ab
132aa97606c9
14164d89d479
15bac3cbdd8
hex6fe8615a3

30040004003 has 32 divisors (see below), whose sum is σ = 33294888000. Its totient is φ = 26975047680.

The previous prime is 30040003909. The next prime is 30040004009.

30040004003 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30040004003 - 230 = 28966262179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30040004009) 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 31 ways as a sum of consecutive naturals, for example, 37131863 + ... + 37132671.

It is an arithmetic number, because the mean of its divisors is an integer number (1040465250).

Almost surely, 230040004003 is an apocalyptic number.

30040004003 is a deficient number, since it is larger than the sum of its proper divisors (3254883997).

30040004003 is a wasteful number, since it uses less digits than its factorization.

30040004003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655.

The product of its (nonzero) digits is 144, while the sum is 14.

It can be divided in two parts, 3004000 and 4003, that added together give a palindrome (3008003).

The spelling of 30040004003 in words is "thirty billion, forty million, four thousand, three".

Divisors: 1 17 29 109 493 691 809 1853 3161 11747 13753 20039 23461 53737 75319 88181 340663 398837 559019 1280423 1499077 2184251 2557249 9503323 16211551 37132267 43473233 60933071 275596367 1035862207 1767059059 30040004003