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44330400200 = 23521763120663
BaseRepresentation
bin101001010010010011…
…000011100111001000
311020102110110122211002
4221102103003213020
51211242040301300
632210510154132
73126356120162
oct512223034710
9136373418732
1044330400200
111788939a889
1287121b2948
134246286c48
142207769932
151246c735d5
hexa524c39c8

44330400200 has 96 divisors (see below), whose sum is σ = 109309253760. Its totient is φ = 16661836800.

The previous prime is 44330400187. The next prime is 44330400211. The reversal of 44330400200 is 200403344.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2135069 + ... + 2155731.

It is an arithmetic number, because the mean of its divisors is an integer number (1138638060).

Almost surely, 244330400200 is an apocalyptic number.

44330400200 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 44330400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54654626880).

44330400200 is an abundant number, since it is smaller than the sum of its proper divisors (64978853560).

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

44330400200 is a wasteful number, since it uses less digits than its factorization.

44330400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21327 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 44330400200 its reverse (200403344), we get a palindrome (44530803544).

The spelling of 44330400200 in words is "forty-four billion, three hundred thirty million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 631 680 850 1262 1700 2524 3155 3400 5048 6310 10727 12620 15775 20663 21454 25240 31550 41326 42908 53635 63100 82652 85816 103315 107270 126200 165304 206630 214540 268175 351271 413260 429080 516575 536350 702542 826520 1033150 1072700 1405084 1756355 2066300 2145400 2810168 3512710 4132600 7025420 8781775 13038353 14050840 17563550 26076706 35127100 52153412 65191765 70254200 104306824 130383530 221652001 260767060 325958825 443304002 521534120 651917650 886608004 1108260005 1303835300 1773216008 2216520010 2607670600 4433040020 5541300025 8866080040 11082600050 22165200100 44330400200