Search a number
-
+
14035242000 = 2435313179939
BaseRepresentation
bin11010001001001000…
…01100110000010000
31100020010210011111210
431010210030300100
5212221010221000
610240411540120
71004543405613
oct150444146020
940203704453
1014035242000
115a5258a05a
12287845a640
1314289cab30
1497204c17a
15572295350
hex34490cc10

14035242000 has 160 divisors (see below), whose sum is σ = 48730631040. Its totient is φ = 3454809600.

The previous prime is 14035241981. The next prime is 14035242017. The reversal of 14035242000 is 24253041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11970 + ... + 167969.

It is an arithmetic number, because the mean of its divisors is an integer number (304566444).

Almost surely, 214035242000 is an apocalyptic number.

14035242000 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 14035242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24365315520).

14035242000 is an abundant number, since it is smaller than the sum of its proper divisors (34695389040).

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

14035242000 is a wasteful number, since it uses less digits than its factorization.

14035242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179978 (or 179962 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 14035242000 its reverse (24253041), we get a palindrome (14059495041).

The spelling of 14035242000 in words is "fourteen billion, thirty-five million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 179939 359878 539817 719756 899695 1079634 1439512 1799390 2159268 2339207 2699085 2879024 3598780 4318536 4498475 4678414 5398170 7017621 7197560 8637072 8996950 9356828 10796340 11696035 13495425 14035242 14395120 17993900 18713656 21592680 22492375 23392070 26990850 28070484 35088105 35987800 37427312 43185360 44984750 46784140 53981700 56140968 58480175 67477125 70176210 71975600 89969500 93568280 107963400 112281936 116960350 134954250 140352420 175440525 179939000 187136560 215926800 233920700 269908500 280704840 292400875 350881050 359878000 467841400 539817000 561409680 584801750 701762100 877202625 935682800 1079634000 1169603500 1403524200 1754405250 2339207000 2807048400 3508810500 4678414000 7017621000 14035242000