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144224514 = 232710311113
BaseRepresentation
bin10001001100010…
…11000100000010
3101001101100211200
420212023010002
5243410141024
622151122030
73400613430
oct1046130402
9331340750
10144224514
1174458015
1240373316
1323b59165
1415223d50
15c9dd2c9
hex898b102

144224514 has 48 divisors (see below), whose sum is σ = 360627072. Its totient is φ = 40803264.

The previous prime is 144224491. The next prime is 144224527. The reversal of 144224514 is 415422441.

144224514 is a `hidden beast` number, since 144 + 2 + 2 + 4 + 514 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7422 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (7513064).

Almost surely, 2144224514 is an apocalyptic number.

144224514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144224514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180313536).

144224514 is an abundant number, since it is smaller than the sum of its proper divisors (216402558).

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

144224514 is a wasteful number, since it uses less digits than its factorization.

144224514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231 (or 11228 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144224514 is about 12009.3511065336. The cubic root of 144224514 is about 524.4205416219.

Adding to 144224514 its reverse (415422441), we get a palindrome (559646955).

The spelling of 144224514 in words is "one hundred forty-four million, two hundred twenty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1854 2163 4326 6489 11113 12978 22226 33339 66678 77791 100017 155582 200034 233373 466746 700119 1144639 1400238 2289278 3433917 6867834 8012473 10301751 16024946 20603502 24037419 48074838 72112257 144224514