Search a number
-
+
144200311124450 = 2527591431696617
BaseRepresentation
bin100000110010011001000000…
…010100100011000111100010
3200220120102012121122200112112
4200302121000110203013202
5122400034214121440300
61230404413003355322
742242062064540450
oct4062310024430742
9626512177580475
10144200311124450
1141a46010376459
121420aba0522b42
13626005311c6b9
142787491b799d0
1511a0eaadc5e35
hex8326405231e2

144200311124450 has 48 divisors (see below), whose sum is σ = 306529619670144. Its totient is φ = 49439952105600.

The previous prime is 144200311124413. The next prime is 144200311124501. The reversal of 144200311124450 is 54421113002441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206652542 + ... + 207349158.

It is an arithmetic number, because the mean of its divisors is an integer number (6386033743128).

Almost surely, 2144200311124450 is an apocalyptic number.

144200311124450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144200311124450 is an abundant number, since it is smaller than the sum of its proper divisors (162329308545694).

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

144200311124450 is a wasteful number, since it uses less digits than its factorization.

144200311124450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288067 (or 1288062 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 144200311124450 its reverse (54421113002441), we get a palindrome (198621424126891).

The spelling of 144200311124450 in words is "one hundred forty-four trillion, two hundred billion, three hundred eleven million, one hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 591431 696617 1182862 1393234 2957155 3483085 4140017 4876319 5914310 6966170 8280034 9752638 14785775 17415425 20700085 24381595 29571550 34830850 41400170 48763190 103500425 121907975 207000850 243815950 412000888927 824001777854 2060004444635 2884006222489 4120008889270 5768012444978 10300022223175 14420031112445 20600044446350 28840062224890 72100155562225 144200311124450