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144147248 = 2478914461
BaseRepresentation
bin10001001011110…
…00001100110000
3101001020102211222
420211320030300
5243400202443
622145324212
73400142240
oct1045701460
9331212758
10144147248
1174404a63
1240336668
1323b2cc3b
1415203b20
15c9c5468
hex8978330

144147248 has 40 divisors (see below), whose sum is σ = 322791840. Its totient is φ = 61079040.

The previous prime is 144147247. The next prime is 144147251. The reversal of 144147248 is 842741441.

144147248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144147247) 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 7 ways as a sum of consecutive naturals, for example, 2738 + ... + 17198.

It is an arithmetic number, because the mean of its divisors is an integer number (8069796).

Almost surely, 2144147248 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 144147248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395920).

144147248 is an abundant number, since it is smaller than the sum of its proper divisors (178644592).

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

144147248 is a wasteful number, since it uses less digits than its factorization.

144147248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14559 counting only the distinct ones).

The product of its digits is 28672, while the sum is 35.

The square root of 144147248 is about 12006.1337657049. The cubic root of 144147248 is about 524.3268748923.

Adding to 144147248 its reverse (842741441), we get a palindrome (986888689).

The spelling of 144147248 in words is "one hundred forty-four million, one hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4984 9968 14461 28922 57844 101227 115688 202454 231376 404908 809816 1287029 1619632 2574058 5148116 9009203 10296232 18018406 20592464 36036812 72073624 144147248