Search a number
-
+
14544350145 = 3351310976031
BaseRepresentation
bin11011000101110100…
…10010101111000001
31101112121202112121000
431202322102233001
5214241323201040
610403115522213
71023264636123
oct154272225701
941477675530
1014544350145
1161939a7596
12299aa59369
1314aa321860
149bd8d5213
155a1d0c130
hex362e92bc1

14544350145 has 64 divisors (see below), whose sum is σ = 28101427200. Its totient is φ = 7094511360.

The previous prime is 14544350101. The next prime is 14544350179. The reversal of 14544350145 is 54105344541.

14544350145 is a `hidden beast` number, since 145 + 4 + 4 + 3 + 501 + 4 + 5 = 666.

14544350145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14544350145 - 211 = 14544348097 is a prime.

It is a super-2 number, since 2×145443501452 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 153280 + ... + 229310.

It is an arithmetic number, because the mean of its divisors is an integer number (439084800).

Almost surely, 214544350145 is an apocalyptic number.

14544350145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14544350145 is a deficient number, since it is larger than the sum of its proper divisors (13557077055).

14544350145 is a wasteful number, since it uses less digits than its factorization.

14544350145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76167 (or 76161 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 14544350145 its reverse (54105344541), we get a palindrome (68649694686).

The spelling of 14544350145 in words is "fourteen billion, five hundred forty-four million, three hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 109 117 135 195 327 351 545 585 981 1417 1635 1755 2943 4251 4905 7085 12753 14715 21255 38259 63765 76031 191295 228093 380155 684279 988403 1140465 2052837 2965209 3421395 4942015 8287379 8895627 10264185 14826045 24862137 26686881 41436895 44478135 74586411 107735927 124310685 133434405 223759233 323207781 372932055 538679635 969623343 1118796165 1616038905 2908870029 4848116715 14544350145