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414232232414 = 271113206909207
BaseRepresentation
bin1100000011100100010…
…10100100000111011110
31110121012120000200112212
412001302022210013132
523241321422414124
6514143510200422
741633026610660
oct6016212440736
91417176020485
10414232232414
1114a747329250
1268345653112
13300a60ab640
141609844c530
15ab9610140e
hex60722a41de

414232232414 has 32 divisors (see below), whose sum is σ = 834257926656. Its totient is φ = 148974628320.

The previous prime is 414232232363. The next prime is 414232232429.

It is a happy number.

414232232414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4142322324142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 103452602 + ... + 103456605.

It is an arithmetic number, because the mean of its divisors is an integer number (26070560208).

Almost surely, 2414232232414 is an apocalyptic number.

414232232414 is an abundant number, since it is smaller than the sum of its proper divisors (420025694242).

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

414232232414 is a wasteful number, since it uses less digits than its factorization.

414232232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206909240.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 414232 and 232414, that added together give a palindrome (646646).

The spelling of 414232232414 in words is "four hundred fourteen billion, two hundred thirty-two million, two hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 206909207 413818414 1448364449 2276001277 2689819691 2896728898 4552002554 5379639382 15932008939 18828737837 29588016601 31864017878 37657475674 59176033202 207116116207 414232232414