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4210560242640 = 2432553110339629
BaseRepresentation
bin111101010001011000111…
…100101001001111010000
3112220112012011221021222100
4331101120330221033100
51022441211410231030
612542145450440400
7613126415353413
oct75213074511720
915815164837870
104210560242640
111383763540424
12580050133100
13247091bc069b
14107b13b3bb7a
15747d65a5360
hex3d458f293d0

4210560242640 has 120 divisors (see below), whose sum is σ = 14407266168360. Its totient is φ = 1101630845952.

The previous prime is 4210560242549. The next prime is 4210560242653. The reversal of 4210560242640 is 462420650124.

4210560242640 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 5 + 6 + 0 + 2 + 4 + 2 + 640 = 666.

4210560242640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89302954896 + 4121257287744 = 298836^2 + 2030088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 4210560242595 and 4210560242604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55131655 + ... + 55207974.

It is an arithmetic number, because the mean of its divisors is an integer number (120060551403).

Almost surely, 24210560242640 is an apocalyptic number.

4210560242640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4210560242640 is an abundant number, since it is smaller than the sum of its proper divisors (10196705925720).

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

4210560242640 is a wasteful number, since it uses less digits than its factorization.

4210560242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110339701 (or 110339692 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4210560242640 its reverse (462420650124), we get a palindrome (4672980892764).

The spelling of 4210560242640 in words is "four trillion, two hundred ten billion, five hundred sixty million, two hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 110339629 220679258 331018887 441358516 551698145 662037774 882717032 993056661 1103396290 1324075548 1655094435 1765434064 1986113322 2206792580 2648151096 3310188870 3972226644 4413585160 4965283305 5296302192 5848000337 6620377740 7944453288 8827170320 9930566610 11696000674 13240755480 15888906576 17544001011 19861133220 23392001348 26481510960 29240001685 35088002022 39722266440 46784002696 52632003033 58480003370 70176004044 79444532880 87720005055 93568005392 105264006066 116960006740 140352008088 175440010110 210528012132 233920013480 263160015165 280704016176 350880020220 421056024264 467840026960 526320030330 701760040440 842112048528 1052640060660 1403520080880 2105280121320 4210560242640