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2444310120004 = 225331395338653
BaseRepresentation
bin100011100100011100001…
…111001000011001000100
322122200012011201112120121
4203210130033020121010
5310021421342320004
65110522304511324
7341411166132304
oct43443417103104
98580164645517
102444310120004
11862698381175
1233588261b544
13149660ba881c
148643b81d604
15438ae990854
hex2391c3c8644

2444310120004 has 48 divisors (see below), whose sum is σ = 4376876221872. Its totient is φ = 1193979451392.

The previous prime is 2444310120001. The next prime is 2444310120011. The reversal of 2444310120004 is 4000210134442.

It can be written as a sum of positive squares in 8 ways, for example, as 614025825604 + 1830284294400 = 783598^2 + 1352880^2 .

It is not an unprimeable number, because it can be changed into a prime (2444310120001) 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 15 ways as a sum of consecutive naturals, for example, 63217942 + ... + 63256594.

It is an arithmetic number, because the mean of its divisors is an integer number (91184921289).

Almost surely, 22444310120004 is an apocalyptic number.

It is an amenable number.

2444310120004 is a deficient number, since it is larger than the sum of its proper divisors (1932566101868).

2444310120004 is a wasteful number, since it uses less digits than its factorization.

2444310120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39976 (or 39974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2444310120004 its reverse (4000210134442), we get a palindrome (6444520254446).

The spelling of 2444310120004 in words is "two trillion, four hundred forty-four billion, three hundred ten million, one hundred twenty thousand, four".

Divisors: 1 2 4 53 106 212 313 626 953 1252 1906 3812 16589 33178 38653 50509 66356 77306 101018 154612 202036 298289 596578 1193156 2048609 4097218 8194436 12098389 15809317 24196778 31618634 36836309 48393556 63237268 73672618 147345236 641214617 1282429234 1952324377 2564858468 3904648754 7809297508 11529764717 23059529434 46119058868 611077530001 1222155060002 2444310120004