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414414240111 = 32433106341863
BaseRepresentation
bin1100000011111010000…
…00110111100101101111
31110121200020111122011200
412001331000313211233
523242210021140421
6514213531220543
741640366630444
oct6017500674557
91417606448150
10414414240111
1114a830042333
12683965a7753
1330104a062c1
14160b46a99cb
15aba70a4726
hex607d03796f

414414240111 has 12 divisors (see below), whose sum is σ = 599980796688. Its totient is φ = 275638106304.

The previous prime is 414414240109. The next prime is 414414240139. The reversal of 414414240111 is 111042414414.

414414240111 is a `hidden beast` number, since 4 + 1 + 4 + 414 + 240 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 414414240111 - 21 = 414414240109 is a prime.

It is a super-2 number, since 2×4144142401112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414414240101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53167035 + ... + 53174828.

It is an arithmetic number, because the mean of its divisors is an integer number (49998399724).

Almost surely, 2414414240111 is an apocalyptic number.

414414240111 is a deficient number, since it is larger than the sum of its proper divisors (185566556577).

414414240111 is a wasteful number, since it uses less digits than its factorization.

414414240111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106342302 (or 106342299 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 414414240111 its reverse (111042414414), we get a palindrome (525456654525).

The spelling of 414414240111 in words is "four hundred fourteen billion, four hundred fourteen million, two hundred forty thousand, one hundred eleven".

Divisors: 1 3 9 433 1299 3897 106341863 319025589 957076767 46046026679 138138080037 414414240111