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44742734000 = 2453316710771
BaseRepresentation
bin101001101010110111…
…111111000010110000
311021111012100101110022
4221222313333002300
51213113114442000
632315440023012
73142523651426
oct515267770260
9137435311408
1044742734000
1117a8011a318
128808301a68
1342b0826443
142246421116
15126d071585
hexa6adff0b0

44742734000 has 160 divisors (see below), whose sum is σ = 113355220992. Its totient is φ = 17059680000.

The previous prime is 44742733949. The next prime is 44742734009. The reversal of 44742734000 is 43724744.

It is not an unprimeable number, because it can be changed into a prime (44742734009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4148615 + ... + 4159385.

Almost surely, 244742734000 is an apocalyptic number.

44742734000 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 44742734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56677610496).

44742734000 is an abundant number, since it is smaller than the sum of its proper divisors (68612486992).

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

44742734000 is a wasteful number, since it uses less digits than its factorization.

44742734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 35.

The spelling of 44742734000 in words is "forty-four billion, seven hundred forty-two million, seven hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 67 80 100 124 125 134 155 200 248 250 268 310 335 400 496 500 536 620 670 775 1000 1072 1240 1340 1550 1675 2000 2077 2480 2680 3100 3350 3875 4154 5360 6200 6700 7750 8308 8375 10385 10771 12400 13400 15500 16616 16750 20770 21542 26800 31000 33232 33500 41540 43084 51925 53855 62000 67000 83080 86168 103850 107710 134000 166160 172336 207700 215420 259625 269275 333901 415400 430840 519250 538550 667802 721657 830800 861680 1038500 1077100 1335604 1346375 1443314 1669505 2077000 2154200 2671208 2692750 2886628 3339010 3608285 4154000 4308400 5342416 5385500 5773256 6678020 7216570 8347525 10771000 11546512 13356040 14433140 16695050 18041425 21542000 22371367 26712080 28866280 33390100 36082850 41737625 44742734 57732560 66780200 72165700 83475250 89485468 90207125 111856835 133560400 144331400 166950500 178970936 180414250 223713670 288662800 333901000 357941872 360828500 447427340 559284175 667802000 721657000 894854680 1118568350 1443314000 1789709360 2237136700 2796420875 4474273400 5592841750 8948546800 11185683500 22371367000 44742734000