Search a number
-
+
40444003120 = 2457319013643
BaseRepresentation
bin100101101010101001…
…101000001100110000
310212101121112020021111
4211222221220030300
51130312131044440
630325115203104
72631145232353
oct455251501460
9125347466244
1040444003120
1116174649174
127a08746494
133a7705c7c1
141d5954829a
1510ba98d4ea
hex96aa68330

40444003120 has 80 divisors (see below), whose sum is σ = 95396742432. Its totient is φ = 15943219200.

The previous prime is 40444003099. The next prime is 40444003121. The reversal of 40444003120 is 2130044404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40444003091 and 40444003100.

It is not an unprimeable number, because it can be changed into a prime (40444003121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11100019 + ... + 11103661.

Almost surely, 240444003120 is an apocalyptic number.

40444003120 is a gapful number since it is divisible by the number (40) 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 40444003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698371216).

40444003120 is an abundant number, since it is smaller than the sum of its proper divisors (54952739312).

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

40444003120 is a wasteful number, since it uses less digits than its factorization.

40444003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40444003120 its reverse (2130044404), we get a palindrome (42574047524).

The spelling of 40444003120 in words is "forty billion, four hundred forty-four million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1901 2920 3643 3802 5840 7286 7604 9505 14572 15208 18215 19010 29144 30416 36430 38020 58288 72860 76040 138773 145720 152080 265939 277546 291440 531878 555092 693865 1063756 1110184 1329695 1387730 2127512 2220368 2659390 2775460 4255024 5318780 5550920 6925343 10637560 11101840 13850686 21275120 27701372 34626715 55402744 69253430 110805488 138506860 277013720 505550039 554027440 1011100078 2022200156 2527750195 4044400312 5055500390 8088800624 10111000780 20222001560 40444003120