Search a number
-
+
14074322600 = 2352136188741
BaseRepresentation
bin11010001101110010…
…10001111010101000
31100022212022200000102
431012321101322220
5212311011310400
610244325324532
71005526524332
oct150671217250
940285280012
1014074322600
115a72651978
122889566748
131433b32050
14977302452
155759149d5
hex346e51ea8

14074322600 has 96 divisors (see below), whose sum is σ = 35818046040. Its totient is φ = 5111424000.

The previous prime is 14074322569. The next prime is 14074322641. The reversal of 14074322600 is 622347041.

14074322600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2105524996 + 11968797604 = 45886^2 + 109402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114230 + ... + 202970.

Almost surely, 214074322600 is an apocalyptic number.

14074322600 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 14074322600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909023020).

14074322600 is an abundant number, since it is smaller than the sum of its proper divisors (21743723440).

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

14074322600 is a wasteful number, since it uses less digits than its factorization.

14074322600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88831 (or 88822 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 14074322600 its reverse (622347041), we get a palindrome (14696669641).

The spelling of 14074322600 in words is "fourteen billion, seventy-four million, three hundred twenty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 61 65 100 104 122 130 200 244 260 305 325 488 520 610 650 793 1220 1300 1525 1586 2440 2600 3050 3172 3965 6100 6344 7930 12200 15860 19825 31720 39650 79300 88741 158600 177482 354964 443705 709928 887410 1153633 1774820 2218525 2307266 3549640 4437050 4614532 5413201 5768165 8874100 9229064 10826402 11536330 17748200 21652804 23072660 27066005 28840825 43305608 46145320 54132010 57681650 70371613 108264020 115363300 135330025 140743226 216528040 230726600 270660050 281486452 351858065 541320100 562972904 703716130 1082640200 1407432260 1759290325 2814864520 3518580650 7037161300 14074322600