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14417414010 = 2325331348353
BaseRepresentation
bin11010110110101100…
…00100011101111010
31101012202220111221200
431123112010131322
5214011324222020
610342343115030
71020163665666
oct153326043572
941182814850
1014417414010
11612928859a
122964442a76
131489c3980c
149aaad18a6
15595ad6590
hex35b58477a

14417414010 has 48 divisors (see below), whose sum is σ = 37497366504. Its totient is φ = 3843403776.

The previous prime is 14417413957. The next prime is 14417414041. The reversal of 14417414010 is 1041471441.

14417414010 is a `hidden beast` number, since 1 + 441 + 74 + 140 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11220529329 + 3196884681 = 105927^2 + 56541^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 273994 + ... + 322346.

Almost surely, 214417414010 is an apocalyptic number.

14417414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14417414010 is an abundant number, since it is smaller than the sum of its proper divisors (23079952494).

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

14417414010 is a wasteful number, since it uses less digits than its factorization.

14417414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51679 (or 51676 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 14417414010 its reverse (1041471441), we get a palindrome (15458885451).

The spelling of 14417414010 in words is "fourteen billion, four hundred seventeen million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3313 6626 9939 16565 19878 29817 33130 48353 49695 59634 96706 99390 145059 149085 241765 290118 298170 435177 483530 725295 870354 1450590 2175885 4351770 160193489 320386978 480580467 800967445 961160934 1441741401 1601934890 2402902335 2883482802 4805804670 7208707005 14417414010