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144080500 = 2253535437
BaseRepresentation
bin10001001011001…
…11111001110100
3101001010001021211
420211213321310
5243341034000
622144051204
73366443524
oct1045477164
9331101254
10144080500
11743698a3
1240303b04
1323b08745
14151c7684
15c9b07ba
hex8967e74

144080500 has 48 divisors (see below), whose sum is σ = 320667984. Its totient is φ = 56534400.

The previous prime is 144080429. The next prime is 144080509. The reversal of 144080500 is 5080441.

It can be written as a sum of positive squares in 8 ways, for example, as 28259856 + 115820644 = 5316^2 + 10762^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144080509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23782 + ... + 29218.

It is an arithmetic number, because the mean of its divisors is an integer number (6680583).

Almost surely, 2144080500 is an apocalyptic number.

144080500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160333992).

144080500 is an abundant number, since it is smaller than the sum of its proper divisors (176587484).

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

144080500 is a wasteful number, since it uses less digits than its factorization.

144080500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144080500 is about 12003.3536980296. The cubic root of 144080500 is about 524.2459317963.

The spelling of 144080500 in words is "one hundred forty-four million, eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 5300 5437 6625 10874 13250 21748 26500 27185 54370 108740 135925 271850 288161 543700 576322 679625 1152644 1359250 1440805 2718500 2881610 5763220 7204025 14408050 28816100 36020125 72040250 144080500