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144215544 = 23311253937
BaseRepresentation
bin10001001100010…
…00110111111000
3101001100220112110
420212020313320
5243404344134
622151012320
73400545324
oct1046106770
9331326473
10144215544
1174451300
124036a0a0
1323b55055
1415220984
15c9da7e9
hex8988df8

144215544 has 96 divisors (see below), whose sum is σ = 404202960. Its totient is φ = 42831360.

The previous prime is 144215537. The next prime is 144215569. The reversal of 144215544 is 445512441.

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 23 ways as a sum of consecutive naturals, for example, 153444 + ... + 154380.

Almost surely, 2144215544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144215544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202101480).

144215544 is an abundant number, since it is smaller than the sum of its proper divisors (259987416).

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

144215544 is a wasteful number, since it uses less digits than its factorization.

144215544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

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

The square root of 144215544 is about 12008.9776417479. The cubic root of 144215544 is about 524.4096693376.

Adding to 144215544 its reverse (445512441), we get a palindrome (589727985).

The spelling of 144215544 in words is "one hundred forty-four million, two hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 121 132 159 212 242 264 318 363 424 484 583 636 726 937 968 1166 1272 1452 1749 1874 2332 2811 2904 3498 3748 4664 5622 6413 6996 7496 10307 11244 12826 13992 19239 20614 22488 25652 30921 38478 41228 49661 51304 61842 76956 82456 99322 113377 123684 148983 153912 198644 226754 247368 297966 340131 397288 453508 546271 595932 680262 907016 1092542 1191864 1360524 1638813 2185084 2721048 3277626 4370168 6008981 6555252 12017962 13110504 18026943 24035924 36053886 48071848 72107772 144215544