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13352445131440 = 24573972242999
BaseRepresentation
bin1100001001001101101110…
…1111111011101010110000
31202021110222212012021102011
43002103123233323222300
53222231301423201230
644222010102532304
72545453015652632
oct302233357735260
952243885167364
1013352445131440
1142888161a7528
1215b7962a37094
1375b18ccb4a7c
14342394504a52
151824db1c8e2a
hexc24dbbfbab0

13352445131440 has 120 divisors (see below), whose sum is σ = 31797606564000. Its totient is φ = 5213485154304.

The previous prime is 13352445131381. The next prime is 13352445131461. The reversal of 13352445131440 is 4413154425331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13352445131393 and 13352445131402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54827061 + ... + 55070059.

It is an arithmetic number, because the mean of its divisors is an integer number (264980054700).

Almost surely, 213352445131440 is an apocalyptic number.

13352445131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13352445131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898803282000).

13352445131440 is an abundant number, since it is smaller than the sum of its proper divisors (18445161432560).

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

13352445131440 is an equidigital number, since it uses as much as digits as its factorization.

13352445131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243279 (or 243176 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 13352445131440 its reverse (4413154425331), we get a palindrome (17765599556771).

The spelling of 13352445131440 in words is "thirteen trillion, three hundred fifty-two billion, four hundred forty-five million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 97 146 194 292 365 388 485 584 730 776 970 1168 1460 1552 1940 2920 3880 5840 7081 7760 9409 14162 18818 28324 35405 37636 47045 56648 70810 75272 94090 113296 141620 150544 188180 242999 283240 376360 485998 566480 686857 752720 971996 1214995 1373714 1943992 2429990 2747428 3434285 3887984 4859980 5494856 6868570 9719960 10989712 13737140 17738927 19439920 23570903 27474280 35477854 47141806 54948560 70955708 88694635 94283612 117854515 141911416 177389270 188567224 235709030 283822832 354778540 377134448 471418060 709557080 942836120 1419114160 1720675919 1885672240 2286377591 3441351838 4572755182 6882703676 8603379595 9145510364 11431887955 13765407352 17206759190 18291020728 22863775910 27530814704 34413518380 36582041456 45727551820 68827036760 91455103640 137654073520 166905564143 182910207280 333811128286 667622256572 834527820715 1335244513144 1669055641430 2670489026288 3338111282860 6676222565720 13352445131440