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4434304033420 = 22523109582115193
BaseRepresentation
bin100000010000111000100…
…0111011110001010001100
3120200220201021100112012021
41000201301013132022030
51040122423313032140
613233031404415524
7635240121245302
oct100416107361214
916626637315167
104434304033420
11145a63a030008
125b74935475a4
132621cb4011b1
1411489b404272
157a52e2abb4a
hex408711de28c

4434304033420 has 96 divisors (see below), whose sum is σ = 9808385811840. Its totient is φ = 1680638699520.

The previous prime is 4434304033381. The next prime is 4434304033493. The reversal of 4434304033420 is 243304034344.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 291857344 + ... + 291872536.

It is an arithmetic number, because the mean of its divisors is an integer number (102170685540).

Almost surely, 24434304033420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434304033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904192905920).

4434304033420 is an abundant number, since it is smaller than the sum of its proper divisors (5374081778420).

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

4434304033420 is a wasteful number, since it uses less digits than its factorization.

4434304033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21155 (or 21153 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 4434304033420 its reverse (243304034344), we get a palindrome (4677608067764).

The spelling of 4434304033420 in words is "four trillion, four hundred thirty-four billion, three hundred four million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 5014 5821 10028 11642 12535 15193 23284 25070 29105 30386 50140 58210 60772 75965 116420 133883 151930 267766 303860 349439 535532 634489 669415 698878 1268978 1338830 1397756 1656037 1747195 2537956 2677660 3172445 3312074 3494390 6344890 6624148 6988780 8280185 12689780 14593247 16560370 29186494 33120740 38088851 58372988 72966235 76177702 88438453 145932470 152355404 176876906 190444255 291864940 353753812 380888510 442192265 761777020 884384530 1768769060 2034084419 4068168838 8136337676 9639791377 10170422095 19279582754 20340844190 38559165508 40681688380 48198956885 96397913770 192795827540 221715201671 443430403342 886860806684 1108576008355 2217152016710 4434304033420