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414241424142414 = 23116276385214279
BaseRepresentation
bin101111000110000000001100…
…0111011111111000001001110
32000022201002112002022020000120
41132030000120323333001032
5413243412414040024124
64025003514431205410
7153152645440544421
oct13614003073770116
92008632462266016
10414241424142414
1110aa9888a749820
123a56291a976866
1314a1aa4c92592b
14744156b55d9b8
1532d5583eead79
hex178c018eff04e

414241424142414 has 16 divisors (see below), whose sum is σ = 903799470856320. Its totient is φ = 125527704285560.

The previous prime is 414241424142383. The next prime is 414241424142431.

414241424142414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3138192607074 + ... + 3138192607205.

It is an arithmetic number, because the mean of its divisors is an integer number (56487466928520).

Almost surely, 2414241424142414 is an apocalyptic number.

414241424142414 is an abundant number, since it is smaller than the sum of its proper divisors (489558046713906).

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

414241424142414 is a wasteful number, since it uses less digits than its factorization.

414241424142414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276385214295.

The product of its digits is 524288, while the sum is 42.

The spelling of 414241424142414 in words is "four hundred fourteen trillion, two hundred forty-one billion, four hundred twenty-four million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 6276385214279 12552770428558 18829155642837 37658311285674 69040237357069 138080474714138 207120712071207 414241424142414