Search a number
-
+
13413520224240 = 2435162734351363
BaseRepresentation
bin1100001100110001010000…
…0110111010111111110000
31202111022122021202110020020
43003030110012322333300
53224231342134133430
644310030334043440
72553044351455653
oct303142406727760
952438567673206
1013413520224240
114301707527734
121607768949580
13763b743b1a36
14345309a9189a
15183db2ee2b10
hexc33141baff0

13413520224240 has 80 divisors (see below), whose sum is σ = 41607471320448. Its totient is φ = 3574740135168.

The previous prime is 13413520224151. The next prime is 13413520224289. The reversal of 13413520224240 is 4242202531431.

It is a happy number.

13413520224240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16785202 + ... + 17566161.

Almost surely, 213413520224240 is an apocalyptic number.

13413520224240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413520224240 is an abundant number, since it is smaller than the sum of its proper divisors (28193951096208).

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

13413520224240 is a wasteful number, since it uses less digits than its factorization.

13413520224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34353006 (or 34353000 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 13413520224240 its reverse (4242202531431), we get a palindrome (17655722755671).

The spelling of 13413520224240 in words is "thirteen trillion, four hundred thirteen billion, five hundred twenty million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1627 3254 4881 6508 8135 9762 13016 16270 19524 24405 26032 32540 39048 48810 65080 78096 97620 130160 195240 390480 34351363 68702726 103054089 137405452 171756815 206108178 274810904 343513630 412216356 515270445 549621808 687027260 824432712 1030540890 1374054520 1648865424 2061081780 2748109040 4122163560 8244327120 55889667601 111779335202 167669002803 223558670404 279448338005 335338005606 447117340808 558896676010 670676011212 838345014015 894234681616 1117793352020 1341352022424 1676690028030 2235586704040 2682704044848 3353380056060 4471173408080 6706760112120 13413520224240