Search a number
-
+
13140314032240 = 2451249154385229
BaseRepresentation
bin1011111100110111011111…
…0000000000100001110000
31201112012110002002220021101
42333031313300000201300
53210242330343012430
643540324341134144
72524233142242523
oct277156760004160
951465402086241
1013140314032240
114206859781a0a
1215828206ba354
1374418461c1b5
14335dcd23abba
1517bc22c39dca
hexbf377c00870

13140314032240 has 80 divisors (see below), whose sum is σ = 30595865400000. Its totient is φ = 5248452059136.

The previous prime is 13140314032229. The next prime is 13140314032247. The reversal of 13140314032240 is 4223041304131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13140314032199 and 13140314032208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140314032247) 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, 154133946 + ... + 154219174.

It is an arithmetic number, because the mean of its divisors is an integer number (382448317500).

Almost surely, 213140314032240 is an apocalyptic number.

13140314032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140314032240 is an abundant number, since it is smaller than the sum of its proper divisors (17455551367760).

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

13140314032240 is a wasteful number, since it uses less digits than its factorization.

13140314032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88034 (or 88028 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13140314032240 its reverse (4223041304131), we get a palindrome (17363355336371).

The spelling of 13140314032240 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1249 1543 2498 3086 4996 6172 6245 7715 9992 12344 12490 15430 19984 24688 24980 30860 49960 61720 85229 99920 123440 170458 340916 426145 681832 852290 1363664 1704580 1927207 3409160 3854414 6818320 7708828 9636035 15417656 19272070 30835312 38544140 77088280 106451021 131508347 154176560 212902042 263016694 425804084 526033388 532255105 657541735 851608168 1052066776 1064510210 1315083470 1703216336 2104133552 2129020420 2630166940 4258040840 5260333880 8516081680 10520667760 164253925403 328507850806 657015701612 821269627015 1314031403224 1642539254030 2628062806448 3285078508060 6570157016120 13140314032240