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144540450 = 2345289401
BaseRepresentation
bin10001001110110…
…00001100100010
3101001222102020000
420213120030202
5244000243300
622202000430
73403400505
oct1047301442
9331872200
10144540450
117465341a
12404a6116
1323c39bc2
14152a713c
15ca51c00
hex89d8322

144540450 has 120 divisors (see below), whose sum is σ = 407133540. Its totient is φ = 38016000.

The previous prime is 144540419. The next prime is 144540469. The reversal of 144540450 is 54045441.

It can be written as a sum of positive squares in 6 ways, for example, as 77316849 + 67223601 = 8793^2 + 8199^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 360250 + ... + 360650.

Almost surely, 2144540450 is an apocalyptic number.

144540450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144540450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203566770).

144540450 is an abundant number, since it is smaller than the sum of its proper divisors (262593090).

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

144540450 is a wasteful number, since it uses less digits than its factorization.

144540450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 144540450 is about 12022.4976606361. The cubic root of 144540450 is about 524.8031915371.

Adding to 144540450 its reverse (54045441), we get a palindrome (198585891).

The spelling of 144540450 in words is "one hundred forty-four million, five hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 89 90 135 150 162 178 225 267 270 401 405 445 450 534 675 801 802 810 890 1203 1335 1350 1602 2005 2025 2225 2403 2406 2670 3609 4005 4010 4050 4450 4806 6015 6675 7209 7218 8010 10025 10827 12015 12030 13350 14418 18045 20025 20050 21654 24030 30075 32481 35689 36045 36090 40050 54135 60075 60150 64962 71378 72090 90225 107067 108270 120150 162405 178445 180225 180450 214134 270675 321201 324810 356890 360450 535335 541350 642402 812025 892225 963603 1070670 1606005 1624050 1784450 1927206 2676675 2890809 3212010 4818015 5353350 5781618 8030025 9636030 14454045 16060050 24090075 28908090 48180150 72270225 144540450