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2004352442224 = 241129537409477
BaseRepresentation
bin11101001010101100101…
…101110001111101110000
321002121120202201211020221
4131022230231301331300
5230314403211122344
64132441540542424
7264544502440006
oct35125455617560
97077522654227
102004352442224
1170304a778080
122845596b1a14
131170181b5782
146d022948a76
1537210170184
hex1d2acb71f70

2004352442224 has 80 divisors (see below), whose sum is σ = 4465247821920. Its totient is φ = 863055764480.

The previous prime is 2004352442203. The next prime is 2004352442227. The reversal of 2004352442224 is 4222442534002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004352442224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004352442227) 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 15 ways as a sum of consecutive naturals, for example, 3434227 + ... + 3975250.

It is an arithmetic number, because the mean of its divisors is an integer number (55815597774).

Almost surely, 22004352442224 is an apocalyptic number.

It is an amenable number.

2004352442224 is an abundant number, since it is smaller than the sum of its proper divisors (2460895379696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004352442224 is a wasteful number, since it uses less digits than its factorization.

2004352442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409578 (or 7409572 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 2004352442224 its reverse (4222442534002), we get a palindrome (6226794976226).

The spelling of 2004352442224 in words is "two trillion, four billion, three hundred fifty-two million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 53 58 88 106 116 176 212 232 319 424 464 583 638 848 1166 1276 1537 2332 2552 3074 4664 5104 6148 9328 12296 16907 24592 33814 67628 135256 270512 7409477 14818954 29637908 59275816 81504247 118551632 163008494 214874833 326016988 392702281 429749666 652033976 785404562 859499332 1304067952 1570809124 1718998664 2363623163 3141618248 3437997328 4319725091 4727246326 6283236496 8639450182 9454492652 11388366149 17278900364 18908985304 22776732298 34557800728 37817970608 45553464596 69115601456 91106929192 125272027639 182213858384 250544055278 501088110556 1002176221112 2004352442224