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144434250 = 23253232791
BaseRepresentation
bin10001001101111…
…10010001001010
3101001210000112200
420212332101022
5243433344000
622155421030
73402446052
oct1046762112
9331700480
10144434250
1174590654
1240454776
1323c0076c
141527a562
15ca30500
hex89be44a

144434250 has 96 divisors (see below), whose sum is σ = 407676672. Its totient is φ = 36828000.

The previous prime is 144434249. The next prime is 144434263. The reversal of 144434250 is 52434441.

It is a happy number.

It is a super-2 number, since 2×1444342502 = 41722505146125000, which contains 22 as substring.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 50355 + ... + 53145.

It is an arithmetic number, because the mean of its divisors is an integer number (4246632).

Almost surely, 2144434250 is an apocalyptic number.

144434250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144434250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203838336).

144434250 is an abundant number, since it is smaller than the sum of its proper divisors (263242422).

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

144434250 is a wasteful number, since it uses less digits than its factorization.

144434250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144434250 is about 12018.0801295382. The cubic root of 144434250 is about 524.6746283227.

Adding to 144434250 its reverse (52434441), we get a palindrome (196868691).

The spelling of 144434250 in words is "one hundred forty-four million, four hundred thirty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 125 138 150 207 225 230 250 345 375 414 450 575 690 750 1035 1125 1150 1725 2070 2250 2791 2875 3450 5175 5582 5750 8373 8625 10350 13955 16746 17250 25119 25875 27910 41865 50238 51750 64193 69775 83730 125595 128386 139550 192579 209325 251190 320965 348875 385158 418650 577737 627975 641930 697750 962895 1046625 1155474 1255950 1604825 1925790 2093250 2888685 3139875 3209650 4814475 5777370 6279750 8024125 9628950 14443425 16048250 24072375 28886850 48144750 72217125 144434250