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13422421416 = 2333167293919
BaseRepresentation
bin11001000000000100…
…11110010110101000
31021122102122122201010
430200002132112220
5204442114441131
610055521023520
7653422461645
oct144002362650
937572578633
1013422421416
115768674968
122727184ba0
13135ba638c1
149148c8dcc
15538593b46
hex32009e5a8

13422421416 has 128 divisors (see below), whose sum is σ = 35313868800. Its totient is φ = 4246007040.

The previous prime is 13422421373. The next prime is 13422421487. The reversal of 13422421416 is 61412422431.

It is a super-2 number, since 2×134224214162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14605005 + ... + 14605923.

It is an arithmetic number, because the mean of its divisors is an integer number (275889600).

Almost surely, 213422421416 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 13422421416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656934400).

13422421416 is an abundant number, since it is smaller than the sum of its proper divisors (21891447384).

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

13422421416 is a wasteful number, since it uses less digits than its factorization.

13422421416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 13422421416 its reverse (61412422431), we get a palindrome (74834843847).

The spelling of 13422421416 in words is "thirteen billion, four hundred twenty-two million, four hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 293 372 402 536 586 744 804 879 919 1172 1608 1758 1838 2077 2344 2757 3516 3676 4154 5514 6231 7032 7352 8308 9083 11028 12462 16616 18166 19631 22056 24924 27249 28489 36332 39262 49848 54498 56978 58893 61573 72664 78524 85467 108996 113956 117786 123146 157048 170934 184719 217992 227912 235572 246292 269267 341868 369438 471144 492584 538534 608561 683736 738876 807801 1077068 1217122 1477752 1615602 1825683 1908763 2154136 2434244 3231204 3651366 3817526 4868488 5726289 6462408 7302732 7635052 8347277 11452578 14605464 15270104 16694554 18040889 22905156 25041831 33389108 36081778 45810312 50083662 54122667 66778216 72163556 100167324 108245334 144327112 200334648 216490668 432981336 559267559 1118535118 1677802677 2237070236 3355605354 4474140472 6711210708 13422421416