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144131000 = 23531311087
BaseRepresentation
bin10001001011101…
…00001110111000
3101001012121120012
420211310032320
5243344143000
622145121052
73400043666
oct1045641670
9331177505
10144131000
11743a3832
1240329188
1323b25720
14151dbc36
15c9c0735
hex89743b8

144131000 has 64 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 53212800.

The previous prime is 144130993. The next prime is 144131023. The reversal of 144131000 is 131441.

It is a happy number.

It is a super-2 number, since 2×1441310002 = 41547490322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7457 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2144131000 is an apocalyptic number.

144131000 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 144131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

144131000 is an abundant number, since it is smaller than the sum of its proper divisors (219111880).

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

144131000 is a wasteful number, since it uses less digits than its factorization.

144131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 144131000 is about 12005.4570925059. The cubic root of 144131000 is about 524.3071737804.

Adding to 144131000 its reverse (131441), we get a palindrome (144262441).

The spelling of 144131000 in words is "one hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 11087 13000 22174 44348 55435 88696 110870 144131 221740 277175 288262 443480 554350 576524 720655 1108700 1153048 1385875 1441310 2217400 2771750 2882620 3603275 5543500 5765240 7206550 11087000 14413100 18016375 28826200 36032750 72065500 144131000