Search a number
-
+
44440000040 = 2354127199991
BaseRepresentation
bin101001011000110101…
…001001011000101000
311020201002200220112102
4221120311021120220
51212003120000130
632225423232532
73132156524222
oct513065113050
9136632626472
1044440000040
1117935248867
128742a48748
134262bac117
142218139412
1512516c2645
hexa58d49628

44440000040 has 64 divisors (see below), whose sum is σ = 102807774720. Its totient is φ = 17278272000.

The previous prime is 44440000019. The next prime is 44440000079. The reversal of 44440000040 is 4000004444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44439999967 and 44440000021.

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, 394445 + ... + 494435.

It is an arithmetic number, because the mean of its divisors is an integer number (1606371480).

Almost surely, 244440000040 is an apocalyptic number.

44440000040 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 44440000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51403887360).

44440000040 is an abundant number, since it is smaller than the sum of its proper divisors (58367774680).

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

44440000040 is a wasteful number, since it uses less digits than its factorization.

44440000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100314 (or 100310 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44440000040 its reverse (4000004444), we get a palindrome (48440004484).

The spelling of 44440000040 in words is "forty-four billion, four hundred forty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 542 820 1084 1355 1640 2168 2710 5420 10840 11111 22222 44444 55555 88888 99991 111110 199982 222220 399964 444440 499955 799928 999910 1999820 3999640 4099631 8199262 16398524 20498155 27097561 32797048 40996310 54195122 81992620 108390244 135487805 163985240 216780488 270975610 541951220 1083902440 1111000001 2222000002 4444000004 5555000005 8888000008 11110000010 22220000020 44440000040