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144160500 = 22353118737
BaseRepresentation
bin10001001011110…
…11011011110100
3101001021010000210
420211323123310
5243401114000
622145505420
73400226001
oct1045733364
9331233023
10144160500
1174413a10
1240342270
1323b35c93
14152088a8
15c9c9350
hex897b6f4

144160500 has 96 divisors (see below), whose sum is σ = 458011008. Its totient is φ = 34944000.

The previous prime is 144160487. The next prime is 144160501. The reversal of 144160500 is 5061441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144160501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12132 + ... + 20868.

It is an arithmetic number, because the mean of its divisors is an integer number (4770948).

Almost surely, 2144160500 is an apocalyptic number.

144160500 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 144160500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229005504).

144160500 is an abundant number, since it is smaller than the sum of its proper divisors (313850508).

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

144160500 is a wasteful number, since it uses less digits than its factorization.

144160500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 144160500 is about 12006.6856375937. The cubic root of 144160500 is about 524.3429421821.

The spelling of 144160500 in words is "one hundred forty-four million, one hundred sixty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 8737 16500 17474 26211 34948 43685 52422 87370 96107 104844 131055 174740 192214 218425 262110 288321 384428 436850 480535 524220 576642 655275 873700 961070 1092125 1153284 1310550 1441605 1922140 2184250 2402675 2621100 2883210 3276375 4368500 4805350 5766420 6552750 7208025 9610700 12013375 13105500 14416050 24026750 28832100 36040125 48053500 72080250 144160500