Search a number
-
+
14317831200 = 2535223259381
BaseRepresentation
bin11010101010110100…
…01100010000100000
31100221211112012000110
431111122030100200
5213310331044300
610324424451320
71014544362051
oct152532142040
940854465013
1014317831200
116088051552
122937019b40
131472410b8a
1499b7ac728
1558beb5550
hex35568c420

14317831200 has 144 divisors (see below), whose sum is σ = 48631012416. Its totient is φ = 3652070400.

The previous prime is 14317831181. The next prime is 14317831237. The reversal of 14317831200 is 213871341.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 74491 + ... + 184890.

It is an arithmetic number, because the mean of its divisors is an integer number (337715364).

Almost surely, 214317831200 is an apocalyptic number.

14317831200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14317831200 is an abundant number, since it is smaller than the sum of its proper divisors (34313181216).

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

14317831200 is a wasteful number, since it uses less digits than its factorization.

14317831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259427 (or 259414 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 14317831200 in words is "fourteen billion, three hundred seventeen million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 259381 518762 778143 1037524 1296905 1556286 2075048 2593810 3112572 3890715 4150096 5187620 5965763 6225144 6484525 7781430 8300192 10375240 11931526 12450288 12969050 15562860 17897289 19453575 20750480 23863052 24900576 25938100 29828815 31125720 35794578 38907150 41500960 47726104 51876200 59657630 62251440 71589156 77814300 89486445 95452208 103752400 119315260 124502880 143178312 149144075 155628600 178972890 190904416 207504800 238630520 286356624 298288150 311257200 357945780 447432225 477261040 572713248 596576300 622514400 715891560 894864450 954522080 1193152600 1431783120 1789728900 2386305200 2863566240 3579457800 4772610400 7158915600 14317831200