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144534144 = 2732912979
BaseRepresentation
bin10001001110101…
…10101010000000
3101001222002120110
420213112222000
5244000043034
622201511320
73403343226
oct1047265200
9331862513
10144534144
1174649707
12404a2540
1323c37081
14152a4b16
15ca4ede9
hex89d6a80

144534144 has 64 divisors (see below), whose sum is σ = 397188000. Its totient is φ = 46513152.

The previous prime is 144534107. The next prime is 144534157. The reversal of 144534144 is 441435441.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 4647 + ... + 17625.

Almost surely, 2144534144 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 144534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198594000).

144534144 is an abundant number, since it is smaller than the sum of its proper divisors (252653856).

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

144534144 is a wasteful number, since it uses less digits than its factorization.

144534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025 (or 13013 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 144534144 is about 12022.2353994588. The cubic root of 144534144 is about 524.7955594013.

Adding to 144534144 its reverse (441435441), we get a palindrome (585969585).

The spelling of 144534144 in words is "one hundred forty-four million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 12979 25958 38937 51916 77874 103832 155748 207664 311496 376391 415328 622992 752782 830656 1129173 1245984 1505564 1661312 2258346 2491968 3011128 4516692 4983936 6022256 9033384 12044512 18066768 24089024 36133536 48178048 72267072 144534144