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14141002232 = 2372317536263
BaseRepresentation
bin11010010101101111…
…01001000111111000
31100111111210100021102
431022313221013320
5212430044032412
610255110430532
71010266351520
oct151267510770
940444710242
1014141002232
115aa7255305
1228a7962448
1314448aa456
149820dc680
1557b6d68c2
hex34ade91f8

14141002232 has 64 divisors (see below), whose sum is σ = 31642721280. Its totient is φ = 5792700672.

The previous prime is 14141002217. The next prime is 14141002277. The reversal of 14141002232 is 23220014141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254733 + ... + 2260995.

It is an arithmetic number, because the mean of its divisors is an integer number (494417520).

Almost surely, 214141002232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821360640).

14141002232 is an abundant number, since it is smaller than the sum of its proper divisors (17501719048).

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

14141002232 is a wasteful number, since it uses less digits than its factorization.

14141002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14141002232 its reverse (23220014141), we get a palindrome (37361016373).

The spelling of 14141002232 in words is "fourteen billion, one hundred forty-one million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1753 3506 6263 7012 12271 12526 14024 24542 25052 40319 43841 49084 50104 80638 87682 98168 144049 161276 175364 282233 288098 322552 350728 564466 576196 1008343 1128932 1152392 2016686 2257864 4033372 8066744 10979039 21958078 43916156 76853273 87832312 153706546 252517897 307413092 505035794 614826184 1010071588 1767625279 2020143176 3535250558 7070501116 14141002232