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44430104400 = 24352113365917
BaseRepresentation
bin101001011000001111…
…011001011101010000
311020200102002011021020
4221120033121131100
51211443101320100
632224431155440
73132006441033
oct513017313520
9136612064236
1044430104400
111792a6aa050
12873b675b80
134260b25c06
142216ac101a
1512508ba5a0
hexa583d9750

44430104400 has 120 divisors (see below), whose sum is σ = 155263065504. Its totient is φ = 10770931200.

The previous prime is 44430104399. The next prime is 44430104417. The reversal of 44430104400 is 440103444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1669759 + ... + 1696158.

Almost surely, 244430104400 is an apocalyptic number.

44430104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44430104400 is an abundant number, since it is smaller than the sum of its proper divisors (110832961104).

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

44430104400 is a wasteful number, since it uses less digits than its factorization.

44430104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365949 (or 3365938 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44430104400 its reverse (440103444), we get a palindrome (44870207844).

The spelling of 44430104400 in words is "forty-four billion, four hundred thirty million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 3365917 6731834 10097751 13463668 16829585 20195502 26927336 33659170 37025087 40391004 50488755 53854672 67318340 74050174 80782008 84147925 100977510 111075261 134636680 148100348 161564016 168295850 185125435 201955020 222150522 252443775 269273360 296200696 336591700 370250870 403910040 444301044 504887550 555376305 592401392 673183400 740501740 807820080 888602088 925627175 1009775100 1110752610 1346366800 1481003480 1777204176 1851254350 2019550200 2221505220 2776881525 2962006960 3702508700 4039100400 4443010440 5553763050 7405017400 8886020880 11107526100 14810034800 22215052200 44430104400