Search a number
-
+
44440400440 = 2351139831947
BaseRepresentation
bin101001011000110110…
…101011001000111000
311020201010110020210001
4221120312223020320
51212003220303230
632225440002344
73132163112452
oct513066531070
9136633406701
1044440400440
11179354a1677
1287430003b4
134262cbc447
1422182012d2
1512517510ca
hexa58dab238

44440400440 has 32 divisors (see below), whose sum is σ = 100875786480. Its totient is φ = 17618847232.

The previous prime is 44440400401. The next prime is 44440400471. The reversal of 44440400440 is 4400404444.

It is a junction number, because it is equal to n+sod(n) for n = 44440400399 and 44440400408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4911454 + ... + 4920493.

Almost surely, 244440400440 is an apocalyptic number.

44440400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44440400440 is an abundant number, since it is smaller than the sum of its proper divisors (56435386040).

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

44440400440 is a wasteful number, since it uses less digits than its factorization.

44440400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832071 (or 9832067 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44440400440 its reverse (4400404444), we get a palindrome (48840804884).

The spelling of 44440400440 in words is "forty-four billion, four hundred forty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 9831947 19663894 39327788 49159735 78655576 98319470 196638940 393277880 1111010011 2222020022 4444040044 5555050055 8888080088 11110100110 22220200220 44440400440