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14500253889 = 32112412892
BaseRepresentation
bin11011000000100100…
…00101000011000001
31101102112210012220100
431200102011003001
5214144031111024
610354502433013
71022221060452
oct154022050301
941375705810
1014500253889
116171019400
122988132769
1314a11526b4
149b7ad7129
1559ceeb7c9
hex3604850c1

14500253889 has 81 divisors (see below), whose sum is σ = 23865305737. Its totient is φ = 8477356800.

The previous prime is 14500253851. The next prime is 14500253923. The reversal of 14500253889 is 98835200541.

The square root of 14500253889 is 120417.

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

14500253889 is a `hidden beast` number, since 14 + 500 + 2 + 53 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8839196289 + 5661057600 = 94017^2 + 75240^2 .

It is not a de Polignac number, because 14500253889 - 221 = 14498156737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14500253839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 162924157 + ... + 162924245.

Almost surely, 214500253889 is an apocalyptic number.

14500253889 is the 120417-th square number.

14500253889 is the 60209-th centered octagonal number.

It is an amenable number.

14500253889 is a deficient number, since it is larger than the sum of its proper divisors (9365051848).

14500253889 is an equidigital number, since it uses as much as digits as its factorization.

14500253889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 145002 and 53889, that added together give a palindrome (198891).

The spelling of 14500253889 in words is "fourteen billion, five hundred million, two hundred fifty-three thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 33 41 89 99 121 123 267 363 369 451 801 979 1089 1353 1681 2937 3649 4059 4961 5043 7921 8811 10769 10947 14883 15129 18491 23763 32307 32841 40139 44649 55473 71289 87131 96921 120417 149609 166419 203401 261393 324761 361251 441529 448827 610203 784179 958441 974283 1324587 1346481 1645699 1830609 2875323 2922849 3572371 3973761 4937097 8625969 10717113 13315201 14811291 18102689 32151339 39296081 39945603 54308067 117888243 119836809 146467211 162924201 353664729 439401633 1318204899 1611139321 4833417963 14500253889