Search a number
-
+
14103631200 = 253525876513
BaseRepresentation
bin11010010001010010…
…00101010101100000
31100101220110200212010
431020221011111200
5212341012144300
610251253432520
71006333613211
oct151051052540
940356420763
1014103631200
115a8814a95a
12289733b740
131439c24409
1497b171408
155782a3a50
hex348a45560

14103631200 has 72 divisors (see below), whose sum is σ = 45907327368. Its totient is φ = 3760967680.

The previous prime is 14103631193. The next prime is 14103631229. The reversal of 14103631200 is 213630141.

It is a super-2 number, since 2×141036312002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2935857 + ... + 2940656.

It is an arithmetic number, because the mean of its divisors is an integer number (637601769).

Almost surely, 214103631200 is an apocalyptic number.

14103631200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14103631200 is an abundant number, since it is smaller than the sum of its proper divisors (31803696168).

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

14103631200 is a wasteful number, since it uses less digits than its factorization.

14103631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876536 (or 5876523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 14103631200 in words is "fourteen billion, one hundred three million, six hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5876513 11753026 17629539 23506052 29382565 35259078 47012104 58765130 70518156 88147695 94024208 117530260 141036312 146912825 176295390 188048416 235060520 282072624 293825650 352590780 440738475 470121040 564145248 587651300 705181560 881476950 940242080 1175302600 1410363120 1762953900 2350605200 2820726240 3525907800 4701210400 7051815600 14103631200