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144203312 = 241119291487
BaseRepresentation
bin10001001100001…
…01111000110000
3101001100021202102
420212011320300
5243404001222
622150435532
73400464551
oct1046057060
9331307672
10144203312
11744430a0
1240362ba8
1323b4c606
141521a328
15c9d6d92
hex8985e30

144203312 has 80 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 59915520.

The previous prime is 144203309. The next prime is 144203317. The reversal of 144203312 is 213302441.

It is not an unprimeable number, because it can be changed into a prime (144203317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96233 + ... + 97719.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2144203312 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 144203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

144203312 is an abundant number, since it is smaller than the sum of its proper divisors (187918288).

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

144203312 is a wasteful number, since it uses less digits than its factorization.

144203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144203312 is about 12008.4683452970. The cubic root of 144203312 is about 524.3948425483.

Adding to 144203312 its reverse (213302441), we get a palindrome (357505753).

The spelling of 144203312 in words is "one hundred forty-four million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 152 176 209 232 304 319 418 464 551 638 836 1102 1276 1487 1672 2204 2552 2974 3344 4408 5104 5948 6061 8816 11896 12122 16357 23792 24244 28253 32714 43123 48488 56506 65428 86246 96976 113012 130856 172492 226024 261712 310783 344984 452048 474353 621566 689968 819337 948706 1243132 1638674 1897412 2486264 3277348 3794824 4972528 6554696 7589648 9012707 13109392 18025414 36050828 72101656 144203312