Search a number
-
+
13400365000 = 235411243643
BaseRepresentation
bin11000111101011100…
…10101011111001000
31021120220011001222211
430132232111133020
5204420443140000
610053412154504
7653034136351
oct143656253710
937526131884
1013400365000
11575717a620
12271b908a34
131357310479
149119c6d28
155366887ba
hex31eb957c8

13400365000 has 80 divisors (see below), whose sum is σ = 34251473520. Its totient is φ = 4872840000.

The previous prime is 13400364977. The next prime is 13400365001. The reversal of 13400365000 is 56300431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13400365001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66822 + ... + 176821.

It is an arithmetic number, because the mean of its divisors is an integer number (428143419).

Almost surely, 213400365000 is an apocalyptic number.

13400365000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400365000 is an abundant number, since it is smaller than the sum of its proper divisors (20851108520).

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

13400365000 is a wasteful number, since it uses less digits than its factorization.

13400365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243680 (or 243661 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 13400365000 its reverse (56300431), we get a palindrome (13456665431).

The spelling of 13400365000 in words is "thirteen billion, four hundred million, three hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 55000 243643 487286 974572 1218215 1949144 2436430 2680073 4872860 5360146 6091075 9745720 10720292 12182150 13400365 21440584 24364300 26800730 30455375 48728600 53601460 60910750 67001825 107202920 121821500 134003650 152276875 243643000 268007300 304553750 335009125 536014600 609107500 670018250 1218215000 1340036500 1675045625 2680073000 3350091250 6700182500 13400365000