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414242430224 = 2476047611641
BaseRepresentation
bin1100000011100101100…
…01011101110100010000
31110121020021012210022112
412001302301131310100
523241332030231344
6514144512524452
741633212363130
oct6016261356420
91417207183275
10414242430224
1114a752063a97
1268348b50728
13300a823c24c
1416099944ac0
15ab96e67c9e
hex6072c5dd10

414242430224 has 40 divisors (see below), whose sum is σ = 917404282368. Its totient is φ = 177502821120.

The previous prime is 414242430223. The next prime is 414242430229. The reversal of 414242430224 is 422034242414.

It is not an unprimeable number, because it can be changed into a prime (414242430223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 371444 + ... + 983084.

Almost surely, 2414242430224 is an apocalyptic number.

It is an amenable number.

414242430224 is an abundant number, since it is smaller than the sum of its proper divisors (503161852144).

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

414242430224 is a wasteful number, since it uses less digits than its factorization.

414242430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617703 (or 617697 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 414242430224 its reverse (422034242414), we get a palindrome (836276672638).

The spelling of 414242430224 in words is "four hundred fourteen billion, two hundred forty-two million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 6047 12094 24188 42329 48376 84658 96752 169316 338632 611641 677264 1223282 2446564 4281487 4893128 8562974 9786256 17125948 34251896 68503792 3698593127 7397186254 14794372508 25890151889 29588745016 51780303778 59177490032 103560607556 207121215112 414242430224