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14224244352 = 273173170289
BaseRepresentation
bin11010011111101010…
…01011111010000000
31100201022102110222220
431033311023322000
5213112401304402
610311242531040
71012330040103
oct151765137200
940638373886
1014224244352
11603a24034a
12290b806a80
131458c04446
1498d1aa73a
15583b7adbc
hex34fd4be80

14224244352 has 128 divisors (see below), whose sum is σ = 41296780800. Its totient is φ = 4318494720.

The previous prime is 14224244317. The next prime is 14224244371. The reversal of 14224244352 is 25344242241.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167224 + ... + 237512.

It is an arithmetic number, because the mean of its divisors is an integer number (322631100).

Almost surely, 214224244352 is an apocalyptic number.

14224244352 is a gapful number since it is divisible by the number (12) 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 14224244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648390400).

14224244352 is an abundant number, since it is smaller than the sum of its proper divisors (27072536448).

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

14224244352 is a wasteful number, since it uses less digits than its factorization.

14224244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70354 (or 70342 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

Adding to 14224244352 its reverse (25344242241), we get a palindrome (39568486593).

The spelling of 14224244352 in words is "fourteen billion, two hundred twenty-four million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 5952 6324 6528 8432 11904 12648 16864 25296 33728 50592 67456 70289 101184 140578 202368 210867 281156 421734 562312 843468 1124624 1194913 1686936 2178959 2249248 2389826 3373872 3584739 4357918 4498496 4779652 6536877 6747744 7169478 8715836 8996992 9559304 13073754 13495488 14338956 17431672 19118608 26147508 26990976 28677912 34863344 37042303 38237216 52295016 57355824 69726688 74084606 76474432 104590032 111126909 114711648 139453376 148169212 152948864 209180064 222253818 229423296 278906752 296338424 418360128 444507636 458846592 592676848 836720256 889015272 1185353696 1778030544 2370707392 3556061088 4741414784 7112122176 14224244352