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42044240000 = 2754775079
BaseRepresentation
bin100111001010000010…
…000011000010000000
311000112010122200121002
4213022002003002000
51142101311140000
631152001551132
73015616100120
oct471202030200
9130463580532
1042044240000
1116915971894
1281946454a8
133c70749329
14206bca0c80
1511611d78d5
hex9ca083080

42044240000 has 160 divisors (see below), whose sum is σ = 119620459200. Its totient is φ = 14414976000.

The previous prime is 42044239969. The next prime is 42044240083. The reversal of 42044240000 is 4244024.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 522461 + ... + 597539.

It is an arithmetic number, because the mean of its divisors is an integer number (747627870).

Almost surely, 242044240000 is an apocalyptic number.

42044240000 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 42044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59810229600).

42044240000 is an abundant number, since it is smaller than the sum of its proper divisors (77576219200).

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

42044240000 is an frugal number, since it uses more digits than its factorization.

42044240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75120 (or 75093 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42044240000 its reverse (4244024), we get a palindrome (42048484024).

The spelling of 42044240000 in words is "forty-two billion, forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 75079 80000 112000 140000 150158 280000 300316 375395 525553 560000 600632 750790 1051106 1201264 1501580 1876975 2102212 2402528 2627765 3003160 3753950 4204424 4805056 5255530 6006320 7507900 8408848 9384875 9610112 10511060 12012640 13138825 15015800 16817696 18769750 21022120 24025280 26277650 30031600 33635392 37539500 42044240 46924375 48050560 52555300 60063200 65694125 67270784 75079000 84088480 93848750 105110600 120126400 131388250 150158000 168176960 187697500 210221200 240252800 262776500 300316000 328470625 336353920 375395000 420442400 525553000 600632000 656941250 750790000 840884800 1051106000 1201264000 1313882500 1501580000 1681769600 2102212000 2627765000 3003160000 4204424000 5255530000 6006320000 8408848000 10511060000 21022120000 42044240000