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42405045320 = 23511219944027
BaseRepresentation
bin100111011111100010…
…011010010001001000
311001110021120111110002
4213133202122101020
51143321142422240
631251451142132
73030556636511
oct473742322110
9131407514402
1042405045320
1116a905a7200
128275444948
133cca4167c1
1420a3b81a08
151182c07d15
hex9df89a448

42405045320 has 96 divisors (see below), whose sum is σ = 105403032000. Its totient is φ = 15342180480.

The previous prime is 42405045311. The next prime is 42405045349. The reversal of 42405045320 is 2354050424.

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, 941147 + ... + 985173.

It is an arithmetic number, because the mean of its divisors is an integer number (1097948250).

Almost surely, 242405045320 is an apocalyptic number.

42405045320 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 42405045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52701516000).

42405045320 is an abundant number, since it is smaller than the sum of its proper divisors (62997986680).

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

42405045320 is a wasteful number, since it uses less digits than its factorization.

42405045320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44259 (or 44244 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 42405045320 its reverse (2354050424), we get a palindrome (44759095744).

The spelling of 42405045320 in words is "forty-two billion, four hundred five million, forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 199 220 242 398 440 484 605 796 968 995 1210 1592 1990 2189 2420 3980 4378 4840 7960 8756 10945 17512 21890 24079 43780 44027 48158 87560 88054 96316 120395 176108 192632 220135 240790 352216 440270 481580 484297 880540 963160 968594 1761080 1937188 2421485 3874376 4842970 5327267 8761373 9685940 10654534 17522746 19371880 21309068 26636335 35045492 42618136 43806865 53272670 70090984 87613730 96375103 106545340 175227460 192750206 213090680 350454920 385500412 481875515 771000824 963751030 1060126133 1927502060 2120252266 3855004120 4240504532 5300630665 8481009064 10601261330 21202522660 42405045320