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13414332040 = 2354759120937
BaseRepresentation
bin11000111111000111…
…00111011010001000
31021121212102200011121
430133203213122020
5204433032111130
610055031405024
7653263640524
oct143743473210
937555380147
1013414332040
11576404a22a
122724523774
13135a1908a5
149137c0d84
155379e6d7a
hex31f8e7688

13414332040 has 64 divisors (see below), whose sum is σ = 31347129600. Its totient is φ = 5162515968.

The previous prime is 13414331939. The next prime is 13414332047. The reversal of 13414332040 is 4023341431.

It is a junction number, because it is equal to n+sod(n) for n = 13414331996 and 13414332014.

It is not an unprimeable number, because it can be changed into a prime (13414332047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50452 + ... + 171388.

It is an arithmetic number, because the mean of its divisors is an integer number (489798900).

Almost surely, 213414332040 is an apocalyptic number.

13414332040 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 13414332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673564800).

13414332040 is an abundant number, since it is smaller than the sum of its proper divisors (17932797560).

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

13414332040 is a wasteful number, since it uses less digits than its factorization.

13414332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121054 (or 121050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13414332040 its reverse (4023341431), we get a palindrome (17437673471).

The spelling of 13414332040 in words is "thirteen billion, four hundred fourteen million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 59 94 118 188 235 236 295 376 470 472 590 940 1180 1880 2360 2773 5546 11092 13865 22184 27730 55460 110920 120937 241874 483748 604685 967496 1209370 2418740 4837480 5684039 7135283 11368078 14270566 22736156 28420195 28541132 35676415 45472312 56840390 57082264 71352830 113680780 142705660 227361560 285411320 335358301 670716602 1341433204 1676791505 2682866408 3353583010 6707166020 13414332040