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2004440444002 = 2731371572512543
BaseRepresentation
bin11101001010110001111…
…101011110110001100010
321002121210220022210000001
4131022301331132301202
5230320043223202002
64132454403050214
7264546621440653
oct35126175366142
97077726283001
102004440444002
11703095414117
1228458307096a
131170304b8029
146d0304d552a
1537217c54a87
hex1d2b1f5ec62

2004440444002 has 64 divisors (see below), whose sum is σ = 3103178770944. Its totient is φ = 970759296000.

The previous prime is 2004440443969. The next prime is 2004440444003.

2004440444002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2004440444003) 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 31 ways as a sum of consecutive naturals, for example, 788217543 + ... + 788220085.

It is an arithmetic number, because the mean of its divisors is an integer number (48487168296).

Almost surely, 22004440444002 is an apocalyptic number.

2004440444002 is a deficient number, since it is larger than the sum of its proper divisors (1098738326942).

2004440444002 is a wasteful number, since it uses less digits than its factorization.

2004440444002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163.

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 2004440 and 444002, that added together give a palindrome (2448442).

The spelling of 2004440444002 in words is "two trillion, four billion, four hundred forty million, four hundred forty-four thousand, two".

Divisors: 1 2 73 137 146 157 251 274 314 502 2543 5086 10001 11461 18323 20002 21509 22922 34387 36646 39407 43018 68774 78814 185639 348391 371278 399251 638293 696782 798502 1276586 1570157 2510251 2876711 3140314 5020502 5398759 5753422 10797518 25432543 29145323 46595389 50865086 54697387 58290646 87446141 93190778 100212001 109394774 174892282 200424002 394109407 788218814 3992909251 6383568293 7315476073 7985818502 12767136586 13729044137 14630952146 27458088274 1002220222001 2004440444002