Search a number
-
+
144444044002100 = 22521444440440021
BaseRepresentation
bin100000110101111011111111…
…111011101100001100110100
3200221102201022210001202000012
4200311323333323230030310
5122413032400231031400
61231112402221035352
742265511031034463
oct4065737773541464
9627381283052005
10144444044002100
114202a414210947
121424a2820b5b58
13627a02698676b
1427951b40c69da
1511a74c38ded35
hex835effeec334

144444044002100 has 18 divisors (see below), whose sum is σ = 313443575484774. Its totient is φ = 57777617600800.

The previous prime is 144444044002079. The next prime is 144444044002123. The reversal of 144444044002100 is 1200440444441.

It can be written as a sum of positive squares in 3 ways, for example, as 6913681254544 + 137530362747556 = 2629388^2 + 11727334^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722220219911 + ... + 722220220110.

Almost surely, 2144444044002100 is an apocalyptic number.

144444044002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144444044002100 is an abundant number, since it is smaller than the sum of its proper divisors (168999531482674).

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

144444044002100 is a wasteful number, since it uses less digits than its factorization.

144444044002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444440440035 (or 1444440440028 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144444044002100 its reverse (1200440444441), we get a palindrome (145644484446541).

The spelling of 144444044002100 in words is "one hundred forty-four trillion, four hundred forty-four billion, forty-four million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1444440440021 2888880880042 5777761760084 7222202200105 14444404400210 28888808800420 36111011000525 72222022001050 144444044002100