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14354150532 = 22317297930713
BaseRepresentation
bin11010101111001001…
…01111010010000100
31101001100212101202220
431113210233102010
5213344130304112
610332203132340
71015465160241
oct152744572204
941040771686
1014354150532
1160a65a8827
1229472140b0
131479ab92c7
149a25445c8
1559028b98c
hex35792f484

14354150532 has 96 divisors (see below), whose sum is σ = 37151654400. Its totient is φ = 4292800512.

The previous prime is 14354150521. The next prime is 14354150539. The reversal of 14354150532 is 23505145341.

14354150532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14354150493 and 14354150502.

It is not an unprimeable number, because it can be changed into a prime (14354150539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452008 + ... + 482720.

It is an arithmetic number, because the mean of its divisors is an integer number (386996400).

Almost surely, 214354150532 is an apocalyptic number.

14354150532 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 14354150532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575827200).

14354150532 is an abundant number, since it is smaller than the sum of its proper divisors (22797503868).

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

14354150532 is a wasteful number, since it uses less digits than its factorization.

14354150532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30845 (or 30843 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 14354150532 its reverse (23505145341), we get a palindrome (37859295873).

The spelling of 14354150532 in words is "fourteen billion, three hundred fifty-four million, one hundred fifty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 79 87 102 116 158 174 204 237 316 348 474 493 948 986 1343 1479 1972 2291 2686 2958 4029 4582 5372 5916 6873 8058 9164 13746 16116 27492 30713 38947 61426 77894 92139 116841 122852 155788 184278 233682 368556 467364 522121 890677 1044242 1566363 1781354 2088484 2426327 2672031 3132726 3562708 4852654 5344062 6265452 7278981 9705308 10688124 14557962 15141509 29115924 30283018 41247559 45424527 60566036 70363483 82495118 90849054 123742677 140726966 164990236 181698108 211090449 247485354 281453932 422180898 494970708 844361796 1196179211 2392358422 3588537633 4784716844 7177075266 14354150532