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13404202444230 = 235131915591160317
BaseRepresentation
bin1100001100001110100010…
…1110011010010111000110
31202110102120220201011222220
43003003220232122113012
53224103301311203410
644301450001433210
72552264426603403
oct303035056322706
952412526634886
1013404202444230
1142a87659186a4
1216059a833b806
1376301ab49b40
14344aa43992aa
15183a19e94070
hexc30e8b9a5c6

13404202444230 has 128 divisors (see below), whose sum is σ = 36491536972800. Its totient is φ = 3123830582784.

The previous prime is 13404202444163. The next prime is 13404202444349. The reversal of 13404202444230 is 3244420240431.

It is a junction number, because it is equal to n+sod(n) for n = 13404202444191 and 13404202444200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10972032 + ... + 12132348.

It is an arithmetic number, because the mean of its divisors is an integer number (285090132600).

Almost surely, 213404202444230 is an apocalyptic number.

13404202444230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404202444230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245768486400).

13404202444230 is an abundant number, since it is smaller than the sum of its proper divisors (23087334528570).

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

13404202444230 is a wasteful number, since it uses less digits than its factorization.

13404202444230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161918.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 13404202444230 its reverse (3244420240431), we get a palindrome (16648622684661).

The spelling of 13404202444230 in words is "thirteen trillion, four hundred four billion, two hundred two million, four hundred forty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1559 2470 3118 3705 4677 7410 7795 9354 15590 20267 23385 29621 40534 46770 59242 60801 88863 101335 121602 148105 177726 202670 296210 304005 385073 444315 608010 770146 888630 1155219 1160317 1925365 2310438 2320634 3480951 3850730 5776095 5801585 6961902 11552190 11603170 15084121 17404755 22046023 30168242 34809510 44092046 45252363 66138069 75420605 90504726 110230115 132276138 150841210 220460230 226261815 286598299 330690345 452523630 573196598 661380690 859794897 1432991495 1719589794 1808934203 2865982990 3617868406 4298974485 5426802609 8597948970 9044671015 10853605218 18089342030 23516144639 27134013045 34369749857 47032289278 54268026090 68739499714 70548433917 103109249571 117580723195 141096867834 171848749285 206218499142 235161446390 343697498570 352742169585 446806748141 515546247855 705484339170 893613496282 1031092495710 1340420244423 2234033740705 2680840488846 4468067481410 6702101222115 13404202444230