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414011412 = 22341277813
BaseRepresentation
bin11000101011010…
…101000000010100
31001212000221220000
4120223111000110
51321441331122
6105025411300
713155016233
oct3053250024
91055027800
10414011412
111a27759a1
12b6799b30
1367a08c89
143cdb0b1a
15265300ac
hex18ad5014

414011412 has 30 divisors (see below), whose sum is σ = 1082308458. Its totient is φ = 138003696.

The previous prime is 414011383. The next prime is 414011419. The reversal of 414011412 is 214110414.

It can be written as a sum of positive squares in only one way, i.e., 404975376 + 9036036 = 20124^2 + 3006^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414011419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 638583 + ... + 639230.

Almost surely, 2414011412 is an apocalyptic number.

It is an amenable number.

414011412 is an abundant number, since it is smaller than the sum of its proper divisors (668297046).

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

414011412 is a wasteful number, since it uses less digits than its factorization.

414011412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277829 (or 1277818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414011412 is about 20347.2703820439. The cubic root of 414011412 is about 745.3108394647.

Adding to 414011412 its reverse (214110414), we get a palindrome (628121826).

The spelling of 414011412 in words is "four hundred fourteen million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1277813 2555626 3833439 5111252 7666878 11500317 15333756 23000634 34500951 46001268 69001902 103502853 138003804 207005706 414011412