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144100000 = 255511131
BaseRepresentation
bin10001001011011…
…00101010100000
3101001011001001001
420211230222200
5243342200000
622144321344
73366554422
oct1045545240
9331131031
10144100000
1174382510
1240313254
1323b14595
14151d0812
15c9b646a
hex896caa0

144100000 has 144 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 52000000.

The previous prime is 144099961. The next prime is 144100001. The reversal of 144100000 is 1441.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 144100000.

It is not an unprimeable number, because it can be changed into a prime (144100001) 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 23 ways as a sum of consecutive naturals, for example, 1099935 + ... + 1100065.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2144100000 is an apocalyptic number.

144100000 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 144100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

144100000 is an abundant number, since it is smaller than the sum of its proper divisors (245687552).

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

144100000 is an equidigital number, since it uses as much as digits as its factorization.

144100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 144100000 is about 12004.1659435381. The cubic root of 144100000 is about 524.2695813869.

Adding to 144100000 its reverse (1441), we get a palindrome (144101441).

144100000 divided by its reverse (1441) gives a 5-th power (100000 = 105).

It can be divided in two parts, 14 and 4100000, that added together give a palindrome (4100014).

The spelling of 144100000 in words is "one hundred forty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 131 160 176 200 220 250 262 275 352 400 440 500 524 550 625 655 800 880 1000 1048 1100 1250 1310 1375 1441 1760 2000 2096 2200 2500 2620 2750 2882 3125 3275 4000 4192 4400 5000 5240 5500 5764 6250 6550 6875 7205 8800 10000 10480 11000 11528 12500 13100 13750 14410 16375 20000 20960 22000 23056 25000 26200 27500 28820 32750 34375 36025 44000 46112 50000 52400 55000 57640 65500 68750 72050 81875 100000 104800 110000 115280 131000 137500 144100 163750 180125 220000 230560 262000 275000 288200 327500 360250 409375 524000 550000 576400 655000 720500 818750 900625 1100000 1152800 1310000 1441000 1637500 1801250 2620000 2882000 3275000 3602500 4503125 5764000 6550000 7205000 9006250 13100000 14410000 18012500 28820000 36025000 72050000 144100000