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144145254 = 231129127593
BaseRepresentation
bin10001001011101…
…11101101100110
3101001020100010010
420211313231212
5243400122004
622145311050
73400133361
oct1045675546
9331210103
10144145254
1174403510
1240335486
1323b2c066
14152030d8
15c9c4a89
hex8977b66

144145254 has 64 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 41771520.

The previous prime is 144145241. The next prime is 144145259. The reversal of 144145254 is 452541441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144145259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242782 + ... + 243374.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2144145254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144145254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

144145254 is an abundant number, since it is smaller than the sum of its proper divisors (184312986).

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

144145254 is a wasteful number, since it uses less digits than its factorization.

144145254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765.

The product of its digits is 12800, while the sum is 30.

The square root of 144145254 is about 12006.0507245305. The cubic root of 144145254 is about 524.3244571964.

Adding to 144145254 its reverse (452541441), we get a palindrome (596686695).

The spelling of 144145254 in words is "one hundred forty-four million, one hundred forty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 127 174 254 319 381 593 638 762 957 1186 1397 1779 1914 2794 3558 3683 4191 6523 7366 8382 11049 13046 17197 19569 22098 34394 39138 40513 51591 75311 81026 103182 121539 150622 189167 225933 243078 378334 451866 567501 828421 1135002 1656842 2184019 2485263 4368038 4970526 6552057 13104114 24024209 48048418 72072627 144145254