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144261632 = 29281761
BaseRepresentation
bin10001001100101…
…00001000000000
3101001110020202102
420212110020000
5243412333012
622152005532
73401126564
oct1046241000
9331406672
10144261632
1174482999
12403908a8
1323b70018
14152336a4
15c9e92c2
hex8994200

144261632 has 20 divisors (see below), whose sum is σ = 288242526. Its totient is φ = 72130560.

The previous prime is 144261619. The next prime is 144261641. The reversal of 144261632 is 236162441.

It can be written as a sum of positive squares in only one way, i.e., 133079296 + 11182336 = 11536^2 + 3344^2 .

It is a super-2 number, since 2×1442616322 = 41622836934606848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144261595 and 144261604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 140369 + ... + 141392.

Almost surely, 2144261632 is an apocalyptic number.

It is an amenable number.

144261632 is a deficient number, since it is larger than the sum of its proper divisors (143980894).

144261632 is an frugal number, since it uses more digits than its factorization.

144261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281779 (or 281763 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 144261632 is about 12010.8963861987. The cubic root of 144261632 is about 524.4655265127.

The spelling of 144261632 in words is "one hundred forty-four million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 281761 563522 1127044 2254088 4508176 9016352 18032704 36065408 72130816 144261632