Search a number
-
+
14102987536 = 2411226992
BaseRepresentation
bin11010010001001101…
…01000001100010000
31100101212020222220201
431020212220030100
5212340331100121
610251231544544
71006325262511
oct151046501420
940355228821
1014102987536
115a87850300
12289708b154
131439a5a451
1497b044a08
155781c7e91
hex3489a8310

14102987536 has 45 divisors (see below), whose sum is σ = 30045542023. Its totient is φ = 6408073760.

The previous prime is 14102987501. The next prime is 14102987581. The reversal of 14102987536 is 63578920141.

The square root of 14102987536 is 118756.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5223915 + ... + 5226613.

It is a 1-persistent number, because it is pandigital, but 2⋅14102987536 = 28205975072 is not.

Almost surely, 214102987536 is an apocalyptic number.

14102987536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14102987536 is the 118756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102987536

14102987536 is an abundant number, since it is smaller than the sum of its proper divisors (15942554487).

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

14102987536 is an frugal number, since it uses more digits than its factorization.

14102987536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 14102987536 in words is "fourteen billion, one hundred two million, nine hundred eighty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2699 5398 10796 21592 29689 43184 59378 118756 237512 326579 475024 653158 1306316 2612632 5225264 7284601 14569202 29138404 58276808 80130611 116553616 160261222 320522444 641044888 881436721 1282089776 1762873442 3525746884 7051493768 14102987536