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44484044400 = 2433524118893
BaseRepresentation
bin101001011011011101…
…001010011001110000
311020211011120121001000
4221123131022121300
51212100403410100
632234035242000
73133233065355
oct513335123160
9136734517030
1044484044400
11179580a0a64
128755749300
13426c060783
14221dd2262c
1512554c2900
hexa5b74a670

44484044400 has 120 divisors (see below), whose sum is σ = 158330285360. Its totient is φ = 11862408960.

The previous prime is 44484044399. The next prime is 44484044441. The reversal of 44484044400 is 444048444.

It is a happy number.

44484044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

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, 2048647 + ... + 2070246.

Almost surely, 244484044400 is an apocalyptic number.

44484044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44484044400 is an abundant number, since it is smaller than the sum of its proper divisors (113846240960).

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

44484044400 is a wasteful number, since it uses less digits than its factorization.

44484044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118920 (or 4118903 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 44484044400 in words is "forty-four billion, four hundred eighty-four million, forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 4118893 8237786 12356679 16475572 20594465 24713358 32951144 37070037 41188930 49426716 61783395 65902288 74140074 82377860 98853432 102972325 111210111 123566790 148280148 164755720 185350185 197706864 205944650 222420222 247133580 296560296 308916975 329511440 370700370 411889300 444840444 494267160 556050555 593120592 617833950 741400740 823778600 889680888 926750925 988534320 1112101110 1235667900 1482801480 1647557200 1779361776 1853501850 2224202220 2471335800 2780252775 2965602960 3707003700 4448404440 4942671600 5560505550 7414007400 8896808880 11121011100 14828014800 22242022200 44484044400