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423352602144 = 25321798212147
BaseRepresentation
bin1100010100100011100…
…10000000111000100000
31111110202011121110210100
412022101302000320200
523414011231232034
6522252511302400
742405033513123
oct6122162007040
91443664543710
10423352602144
111535a7563a9a
126a06bb1aa00
1330bca784c14
14166c18383ba
15b02bb58099
hex6291c80e20

423352602144 has 72 divisors (see below), whose sum is σ = 1210634858160. Its totient is φ = 140329150848.

The previous prime is 423352602133. The next prime is 423352602161. The reversal of 423352602144 is 441206253324.

423352602144 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 5 + 2 + 602 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4233526021443 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423352602099 and 423352602108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4054522 + ... + 4157625.

It is an arithmetic number, because the mean of its divisors is an integer number (16814373030).

Almost surely, 2423352602144 is an apocalyptic number.

It is an amenable number.

423352602144 is an abundant number, since it is smaller than the sum of its proper divisors (787282256016).

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

423352602144 is a wasteful number, since it uses less digits than its factorization.

423352602144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212342 (or 8212331 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 423352602144 its reverse (441206253324), we get a palindrome (864558855468).

The spelling of 423352602144 in words is "four hundred twenty-three billion, three hundred fifty-two million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 8212147 16424294 24636441 32848588 49272882 65697176 73909323 98545764 131394352 147818646 197091528 262788704 295637292 394183056 591274584 788366112 1182549168 1469974313 2365098336 2939948626 4409922939 5879897252 8819845878 11759794504 13229768817 17639691756 23519589008 26459537634 35279383512 47039178016 52919075268 70558767024 105838150536 141117534048 211676301072 423352602144