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14513200330440 = 2335718195456461
BaseRepresentation
bin1101001100110001111000…
…1001100111011011001000
31220101110002212212221011110
43103030132021213123020
53400241013241033230
650511134443130320
73025354430236350
oct323143611473310
956343085787143
1014513200330440
114696017256789
1217649095139a0
13813786b15226
1438262a887b60
151a27c58554b0
hexd331e2676c8

14513200330440 has 128 divisors (see below), whose sum is σ = 50034459121920. Its totient is φ = 3298975257600.

The previous prime is 14513200330417. The next prime is 14513200330459. The reversal of 14513200330440 is 4403300231541.

14513200330440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145132003304403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14513200330398 and 14513200330407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47576191 + ... + 47880270.

It is an arithmetic number, because the mean of its divisors is an integer number (390894211890).

Almost surely, 214513200330440 is an apocalyptic number.

14513200330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14513200330440 is an abundant number, since it is smaller than the sum of its proper divisors (35521258791480).

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

14513200330440 is a wasteful number, since it uses less digits than its factorization.

14513200330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95456663 (or 95456659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14513200330440 its reverse (4403300231541), we get a palindrome (18916500561981).

The spelling of 14513200330440 in words is "fourteen trillion, five hundred thirteen billion, two hundred million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 181 210 280 362 420 543 724 840 905 1086 1267 1448 1810 2172 2534 2715 3620 3801 4344 5068 5430 6335 7240 7602 10136 10860 12670 15204 19005 21720 25340 30408 38010 50680 76020 152040 95456461 190912922 286369383 381825844 477282305 572738766 668195227 763651688 954564610 1145477532 1336390454 1431846915 1909129220 2004585681 2290955064 2672780908 2863693830 3340976135 3818258440 4009171362 5345561816 5727387660 6681952270 8018342724 10022928405 11454775320 13363904540 16036685448 17277619441 20045856810 26727809080 34555238882 40091713620 51832858323 69110477764 80183427240 86388097205 103665716646 120943336087 138220955528 172776194410 207331433292 241886672174 259164291615 345552388820 362830008261 414662866584 483773344348 518328583230 604716680435 691104777640 725660016522 967546688696 1036657166460 1209433360870 1451320033044 1814150041305 2073314332920 2418866721740 2902640066088 3628300082610 4837733443480 7256600165220 14513200330440