Search a number
-
+
244144113044440 = 23576315131380721
BaseRepresentation
bin110111100000110000111011…
…001000011100101111011000
31012000102221122000100221211111
4313200300323020130233120
5224000024120414410230
62223130131314310104
7102265554501142120
oct6740607310345730
91160387560327744
10244144113044440
1170878a33a98304
1223470921588334
13a62c8ca39575b
1444408d1009c80
151d35b36adc92a
hexde0c3b21cbd8

244144113044440 has 64 divisors (see below), whose sum is σ = 627800596637760. Its totient is φ = 83706359869440.

The previous prime is 244144113044437. The next prime is 244144113044473. The reversal of 244144113044440 is 44440311441442.

244144113044440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 244144113044393 and 244144113044402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176133280 + ... + 177514000.

It is an arithmetic number, because the mean of its divisors is an integer number (9809384322465).

Almost surely, 2244144113044440 is an apocalyptic number.

244144113044440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244144113044440 is an abundant number, since it is smaller than the sum of its proper divisors (383656483593320).

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

244144113044440 is a wasteful number, since it uses less digits than its factorization.

244144113044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012252 (or 2012248 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 244144113044440 its reverse (44440311441442), we get a palindrome (288584424485882).

The spelling of 244144113044440 in words is "two hundred forty-four trillion, one hundred forty-four billion, one hundred thirteen million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 631513 1263026 1380721 2526052 2761442 3157565 4420591 5052104 5522884 6315130 6903605 8841182 9665047 11045768 12630260 13807210 17682364 19330094 22102955 25260520 27614420 35364728 38660188 44205910 48325235 55228840 77320376 88411820 96650470 176823640 193300940 386601880 871943260873 1743886521746 3487773043492 4359716304365 6103602826111 6975546086984 8719432608730 12207205652222 17438865217460 24414411304444 30518014130555 34877730434920 48828822608888 61036028261110 122072056522220 244144113044440