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13440243314040 = 2335201947554611
BaseRepresentation
bin1100001110010100110011…
…1011011010110101111000
31202120212121122222001212220
43003211030323122311320
53230201104242022130
644330210150404040
72555011521130524
oct303451473326570
952525548861786
1013440243314040
114311a7aa67614
121610986360620
137665428ba3ca
14346722c10d84
151849290ca410
hexc394cedad78

13440243314040 has 64 divisors (see below), whose sum is σ = 40321002303360. Its totient is φ = 3584040673920.

The previous prime is 13440243314033. The next prime is 13440243314059. The reversal of 13440243314040 is 4041334204431.

It is a super-2 number, since 2×134402433140402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13440243313992 and 13440243314010.

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, 23956335 + ... + 24510945.

It is an arithmetic number, because the mean of its divisors is an integer number (630015660990).

Almost surely, 213440243314040 is an apocalyptic number.

13440243314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440243314040 is an abundant number, since it is smaller than the sum of its proper divisors (26880758989320).

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

13440243314040 is a wasteful number, since it uses less digits than its factorization.

13440243314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756572 (or 756568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 13440243314040 its reverse (4041334204431), we get a palindrome (17481577518471).

The spelling of 13440243314040 in words is "thirteen trillion, four hundred forty billion, two hundred forty-three million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 201947 403894 554611 605841 807788 1009735 1109222 1211682 1615576 1663833 2019470 2218444 2423364 2773055 3029205 3327666 4038940 4436888 4846728 5546110 6058410 6655332 8077880 8319165 11092220 12116820 13310664 16638330 22184440 24233640 33276660 66553320 112002027617 224004055234 336006082851 448008110468 560010138085 672012165702 896016220936 1120020276170 1344024331404 1680030414255 2240040552340 2688048662808 3360060828510 4480081104680 6720121657020 13440243314040