Search a number
-
+
14200305504 = 2537111921037
BaseRepresentation
bin11010011100110011…
…10111011101100000
31100122122101021001220
431032121313131200
5213040234234004
610305025455040
71011616414410
oct151631673540
940578337056
1014200305504
11602777a780
1229037a1480
131453c72248
14989d38640
155819ecdd9
hex34e677760

14200305504 has 96 divisors (see below), whose sum is σ = 46473751296. Its totient is φ = 3688389120.

The previous prime is 14200305487. The next prime is 14200305521. The reversal of 14200305504 is 40550300241.

It is an interprime number because it is at equal distance from previous prime (14200305487) and next prime (14200305521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 953127 + ... + 967910.

It is an arithmetic number, because the mean of its divisors is an integer number (484101576).

Almost surely, 214200305504 is an apocalyptic number.

14200305504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14200305504 is an abundant number, since it is smaller than the sum of its proper divisors (32273445792).

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

14200305504 is a wasteful number, since it uses less digits than its factorization.

14200305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921068 (or 1921060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 14200305504 its reverse (40550300241), we get a palindrome (54750605745).

The spelling of 14200305504 in words is "fourteen billion, two hundred million, three hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 1921037 3842074 5763111 7684148 11526222 13447259 15368296 21131407 23052444 26894518 30736592 40341777 42262814 46104888 53789036 61473184 63394221 80683554 84525628 92209776 107578072 126788442 147919849 161367108 169051256 184419552 215156144 253576884 295839698 322734216 338102512 430312288 443759547 507153768 591679396 645468432 676205024 887519094 1014307536 1183358792 1290936864 1775038188 2028615072 2366717584 3550076376 4733435168 7100152752 14200305504