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14541122320 = 245414433269
BaseRepresentation
bin11011000101011011…
…11110101100010000
31101112101200112211221
431202231332230100
5214240011403240
610402522414424
71023225333424
oct154255765420
941471615757
1014541122320
1161920a246a
122999961414
1314a97615ba
149bd2d4b84
155a18c0a4a
hex362b7eb10

14541122320 has 40 divisors (see below), whose sum is σ = 34632705240. Its totient is φ = 5674583040.

The previous prime is 14541122317. The next prime is 14541122327. The reversal of 14541122320 is 2322114541.

It can be written as a sum of positive squares in 4 ways, for example, as 407716864 + 14133405456 = 20192^2 + 118884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×145411223202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14541122327) 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, 2213355 + ... + 2219914.

It is an arithmetic number, because the mean of its divisors is an integer number (865817631).

Almost surely, 214541122320 is an apocalyptic number.

14541122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14541122320 is an abundant number, since it is smaller than the sum of its proper divisors (20091582920).

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

14541122320 is a wasteful number, since it uses less digits than its factorization.

14541122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433323 (or 4433317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14541122320 its reverse (2322114541), we get a palindrome (16863236861).

The spelling of 14541122320 in words is "fourteen billion, five hundred forty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4433269 8866538 17733076 22166345 35466152 44332690 70932304 88665380 177330760 181764029 354661520 363528058 727056116 908820145 1454112232 1817640290 2908224464 3635280580 7270561160 14541122320