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24214030121000 = 2353171424354713
BaseRepresentation
bin1011000000101110001001…
…01010011111100000101000
310011201211122101120212220102
411200113010222133200220
511133210313202333000
6123255434420244532
75046256145031626
oct540270452374050
9104654571525812
1024214030121000
117796126821425
122870a11840748
1310684b1025585
145d9d72b56516
152bece0d983d5
hex1605c4a9f828

24214030121000 has 64 divisors (see below), whose sum is σ = 59993820553680. Its totient is φ = 9115870156800.

The previous prime is 24214030120991. The next prime is 24214030121003. The reversal of 24214030121000 is 12103041242.

It can be written as a sum of positive squares in 8 ways, for example, as 3373106906404 + 20840923214596 = 1836602^2 + 4565186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (24214030121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712160357 + ... + 712194356.

Almost surely, 224214030121000 is an apocalyptic number.

24214030121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24214030121000 is an abundant number, since it is smaller than the sum of its proper divisors (35779790432680).

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

24214030121000 is a wasteful number, since it uses less digits than its factorization.

24214030121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424354751 (or 1424354737 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 24214030121000 its reverse (12103041242), we get a palindrome (24226133162242).

The spelling of 24214030121000 in words is "twenty-four trillion, two hundred fourteen billion, thirty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 1424354713 2848709426 5697418852 7121773565 11394837704 14243547130 24214030121 28487094260 35608867825 48428060242 56974188520 71217735650 96856120484 121070150605 142435471300 178044339125 193712240968 242140301210 284870942600 356088678250 484280602420 605350753025 712177356500 968561204840 1210701506050 1424354713000 2421403012100 3026753765125 4842806024200 6053507530250 12107015060500 24214030121000