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144221415 = 35137331009
BaseRepresentation
bin10001001100010…
…10010011100111
3101001101012120220
420212022103213
5243410041130
622151055423
73400601412
oct1046122347
9331335526
10144221415
1174455758
1240371573
1323b57920
1415222b79
15c9dc410
hex898a4e7

144221415 has 32 divisors (see below), whose sum is σ = 249090240. Its totient is φ = 70834176.

The previous prime is 144221401. The next prime is 144221423. The reversal of 144221415 is 514122441.

It is not a de Polignac number, because 144221415 - 25 = 144221383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142431 + ... + 143439.

It is an arithmetic number, because the mean of its divisors is an integer number (7784070).

Almost surely, 2144221415 is an apocalyptic number.

144221415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144221415 is a deficient number, since it is larger than the sum of its proper divisors (104868825).

144221415 is a wasteful number, since it uses less digits than its factorization.

144221415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763.

The product of its digits is 1280, while the sum is 24.

The square root of 144221415 is about 12009.2220813840. Note that the first 3 decimals coincide. The cubic root of 144221415 is about 524.4167854623.

Adding to 144221415 its reverse (514122441), we get a palindrome (658343856).

The spelling of 144221415 in words is "one hundred forty-four million, two hundred twenty-one thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 39 65 195 733 1009 2199 3027 3665 5045 9529 10995 13117 15135 28587 39351 47645 65585 142935 196755 739597 2218791 3697985 9614761 11093955 28844283 48073805 144221415