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4434680033424 = 2432113215532
BaseRepresentation
bin100000010001000011110…
…0001110011000010010000
3120200221200110212022020100
41000202013201303002100
51040124211042032144
613233132555412400
7635252335221234
oct100420741630220
916627613768210
104434680033424
11145a8122a3413
125b7579454100
1326225b28b7c4
141148d531c5c4
157a5522ce269
hex40887873090

4434680033424 has 135 divisors (see below), whose sum is σ = 12529816278187. Its totient is φ = 1464201596928.

The previous prime is 4434680033411. The next prime is 4434680033429. The reversal of 4434680033424 is 4243300864344.

The square root of 4434680033424 is 2105868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3569333575824 + 865346457600 = 1889268^2 + 930240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4434680033424.

It is not an unprimeable number, because it can be changed into a prime (4434680033429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2855556232 + ... + 2855557784.

Almost surely, 24434680033424 is an apocalyptic number.

4434680033424 is the 2105868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434680033424

4434680033424 is an abundant number, since it is smaller than the sum of its proper divisors (8095136244763).

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

4434680033424 is an equidigital number, since it uses as much as digits as its factorization.

4434680033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

Adding to 4434680033424 its reverse (4243300864344), we get a palindrome (8677980897768).

The spelling of 4434680033424 in words is "four trillion, four hundred thirty-four billion, six hundred eighty million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1553 1808 2034 2712 3106 4068 4659 5424 6212 8136 9318 12424 12769 13977 16272 18636 24848 25538 27954 37272 38307 51076 55908 74544 76614 102152 111816 114921 153228 175489 204304 223632 229842 306456 350978 459684 526467 612912 701956 919368 1052934 1403912 1579401 1838736 2105868 2411809 2807824 3158802 4211736 4823618 6317604 7235427 8423472 9647236 12635208 14470854 19294472 19830257 21706281 25270416 28941708 38588944 39660514 43412562 57883416 59490771 79321028 86825124 115766832 118981542 158642056 173650248 178472313 237963084 272534417 317284112 347300496 356944626 475926168 545068834 713889252 817603251 951852336 1090137668 1427778504 1635206502 2180275336 2452809753 2855557008 3270413004 4360550672 4905619506 6540826008 9811239012 13081652016 19622478024 30796389121 39244956048 61592778242 92389167363 123185556484 184778334726 246371112968 277167502089 369556669452 492742225936 554335004178 739113338904 1108670008356 1478226677808 2217340016712 4434680033424