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514305144 = 23327143127
BaseRepresentation
bin11110101001111…
…010110001111000
31022211202102000200
4132221322301320
52023130231034
6123011202200
715513343623
oct3651726170
91284672020
10514305144
11244348081
121242a6360
1382723392
144c43adba
1530241a99
hex1ea7ac78

514305144 has 24 divisors (see below), whose sum is σ = 1392909960. Its totient is φ = 171435024.

The previous prime is 514305137. The next prime is 514305157. The reversal of 514305144 is 441503415.

It is a happy number.

514305144 is a `hidden beast` number, since 5 + 143 + 0 + 514 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×5143051442 = 529019562289721472, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3571492 + ... + 3571635.

It is an arithmetic number, because the mean of its divisors is an integer number (58037915).

Almost surely, 2514305144 is an apocalyptic number.

It is an amenable number.

514305144 is an abundant number, since it is smaller than the sum of its proper divisors (878604816).

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

514305144 is a wasteful number, since it uses less digits than its factorization.

514305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143139 (or 7143132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 514305144 is about 22678.2967614413. The cubic root of 514305144 is about 801.1987985386.

Adding to 514305144 its reverse (441503415), we get a palindrome (955808559).

The spelling of 514305144 in words is "five hundred fourteen million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7143127 14286254 21429381 28572508 42858762 57145016 64288143 85717524 128576286 171435048 257152572 514305144