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14045001620 = 225131373531117
BaseRepresentation
bin11010001010010010…
…11011011110010100
31100020211011000012012
431011021123132110
5212231010022440
610241401043352
71005022354406
oct150511333624
940224130165
1014045001620
115a58045661
12287b786558
13142aa37160
1497346cb76
15573071e65
hex34525b794

14045001620 has 96 divisors (see below), whose sum is σ = 32114523168. Its totient is φ = 5128814592.

The previous prime is 14045001559. The next prime is 14045001653. The reversal of 14045001620 is 2610054041.

14045001620 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 16 ways, for example, as 9277927684 + 4767073936 = 96322^2 + 69044^2 .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12573302 + ... + 12574418.

It is an arithmetic number, because the mean of its divisors is an integer number (334526283).

Almost surely, 214045001620 is an apocalyptic number.

14045001620 is a gapful number since it is divisible by the number (10) 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 14045001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057261584).

14045001620 is an abundant number, since it is smaller than the sum of its proper divisors (18069521548).

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

14045001620 is a wasteful number, since it uses less digits than its factorization.

14045001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 14045001620 its reverse (2610054041), we get a palindrome (16655055661).

It can be divided in two parts, 1404500 and 1620, that multiplied together give a square (2275290000 = 477002).

The spelling of 14045001620 in words is "fourteen billion, forty-five million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 353 548 685 706 1117 1370 1412 1765 1781 2234 2740 3530 3562 4468 4589 5585 7060 7124 8905 9178 11170 14521 17810 18356 22340 22945 29042 35620 45890 48361 58084 72605 91780 96722 145210 153029 193444 241805 290420 306058 394301 483610 612116 628693 765145 788602 967220 1257386 1530290 1577204 1971505 1989377 2514772 3060580 3143465 3943010 3978754 5125913 6286930 7886020 7957508 9946885 10251826 12573860 19893770 20503652 25629565 39787540 51259130 54019237 102518260 108038474 216076948 270096185 540192370 702250081 1080384740 1404500162 2809000324 3511250405 7022500810 14045001620