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14450205408 = 253467322319
BaseRepresentation
bin11010111010100110…
…01010001011100000
31101022001121111021220
431131103022023200
5214043223033113
610345514015040
71021042501512
oct153523121340
941261544256
1014450205408
116145845221
122973417480
13149397b202
149b11c9bb2
15598912523
hex35d4ca2e0

14450205408 has 48 divisors (see below), whose sum is σ = 38013131520. Its totient is φ = 4806406016.

The previous prime is 14450205401. The next prime is 14450205433. The reversal of 14450205408 is 80450205441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14450205401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116328 + ... + 205991.

It is an arithmetic number, because the mean of its divisors is an integer number (791940240).

Almost surely, 214450205408 is an apocalyptic number.

It is an amenable number.

14450205408 is an abundant number, since it is smaller than the sum of its proper divisors (23562926112).

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

14450205408 is a wasteful number, since it uses less digits than its factorization.

14450205408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322799 (or 322791 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 14450205408 its sum of digits (33), we get a palindrome (14450205441).

The spelling of 14450205408 in words is "fourteen billion, four hundred fifty million, two hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 44832 322319 644638 966957 1289276 1933914 2578552 3867828 5157104 7735656 10314208 15471312 30942624 150522973 301045946 451568919 602091892 903137838 1204183784 1806275676 2408367568 3612551352 4816735136 7225102704 14450205408