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414024111221 = 7314740594579
BaseRepresentation
bin1100000011001011100…
…00101001010001110101
31110120200001102000221112
412001211300221101311
523240410133024341
6514111113324405
741624621610440
oct6014560512165
91416601360845
10414024111221
1114a64a8a9766
12682a7a06705
1330071c3c9c6
1416078954657
15ab82be0aeb
hex6065c29475

414024111221 has 16 divisors (see below), whose sum is σ = 498826199040. Its totient is φ = 336123105840.

The previous prime is 414024111217. The next prime is 414024111227. The reversal of 414024111221 is 122111420414.

It is a cyclic number.

It is not a de Polignac number, because 414024111221 - 22 = 414024111217 is a prime.

It is a super-2 number, since 2×4140241112212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414024111227) 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 15 ways as a sum of consecutive naturals, for example, 20287091 + ... + 20307488.

It is an arithmetic number, because the mean of its divisors is an integer number (31176637440).

Almost surely, 2414024111221 is an apocalyptic number.

It is an amenable number.

414024111221 is a deficient number, since it is larger than the sum of its proper divisors (84802087819).

414024111221 is a wasteful number, since it uses less digits than its factorization.

414024111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40594664.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 414024111221 its reverse (122111420414), we get a palindrome (536135531635).

The spelling of 414024111221 in words is "four hundred fourteen billion, twenty-four million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 31 47 217 329 1457 10199 40594579 284162053 1258431949 1907945213 8809023643 13355616491 59146301603 414024111221