Search a number
-
+
14248594050 = 2352791517963
BaseRepresentation
bin11010100010100100…
…00100101010000010
31100210000020120111120
431101102010222002
5213140120002200
610313512453110
71013044023345
oct152122045202
940700216446
1014248594050
116051a61669
1229179aa196
131460c7b652
1499250845c
15585d8a9a0
hex351484a82

14248594050 has 96 divisors (see below), whose sum is σ = 36025313280. Its totient is φ = 3726216000.

The previous prime is 14248594039. The next prime is 14248594051. The reversal of 14248594050 is 5049584241.

It is a junction number, because it is equal to n+sod(n) for n = 14248593993 and 14248594011.

It is not an unprimeable number, because it can be changed into a prime (14248594051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1785369 + ... + 1793331.

It is an arithmetic number, because the mean of its divisors is an integer number (375263680).

Almost surely, 214248594050 is an apocalyptic number.

14248594050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14248594050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012656640).

14248594050 is an abundant number, since it is smaller than the sum of its proper divisors (21776719230).

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

14248594050 is a wasteful number, since it uses less digits than its factorization.

14248594050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 14248594050 in words is "fourteen billion, two hundred forty-eight million, five hundred ninety-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 151 158 237 302 395 453 474 755 790 906 1185 1510 1975 2265 2370 3775 3950 4530 5925 7550 7963 11325 11850 11929 15926 22650 23858 23889 35787 39815 47778 59645 71574 79630 119290 119445 178935 199075 238890 298225 357870 398150 596450 597225 629077 894675 1194450 1202413 1258154 1789350 1887231 2404826 3145385 3607239 3774462 6012065 6290770 7214478 9436155 12024130 15726925 18036195 18872310 30060325 31453850 36072390 47180775 60120650 90180975 94361550 94990627 180361950 189981254 284971881 474953135 569943762 949906270 1424859405 2374765675 2849718810 4749531350 7124297025 14248594050