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414312323130 = 23254879452711
BaseRepresentation
bin1100000011101101111…
…00000101100000111010
31110121102010201201100200
412001312330011200322
523242002423320010
6514155450543030
741635021432416
oct6016674054072
91417363651320
10414312323130
1114a788561622
1268368437a76
13300b98710b4
14160a4d39d46
15ab9d171cc0
hex6076f0583a

414312323130 has 48 divisors (see below), whose sum is σ = 1079424088704. Its totient is φ = 110256409440.

The previous prime is 414312323129. The next prime is 414312323137. The reversal of 414312323130 is 31323213414.

It is a happy number.

414312323130 is a `hidden beast` number, since 4 + 1 + 4 + 312 + 32 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414312323094 and 414312323103.

It is not an unprimeable number, because it can be changed into a prime (414312323137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682526 + ... + 4770185.

It is an arithmetic number, because the mean of its divisors is an integer number (22488001848).

Almost surely, 2414312323130 is an apocalyptic number.

414312323130 is an abundant number, since it is smaller than the sum of its proper divisors (665111765574).

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

414312323130 is a wasteful number, since it uses less digits than its factorization.

414312323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453211 (or 9453208 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 414312323130 its reverse (31323213414), we get a palindrome (445635536544).

The spelling of 414312323130 in words is "four hundred fourteen billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 487 974 1461 2435 2922 4383 4870 7305 8766 14610 21915 43830 9452711 18905422 28358133 47263555 56716266 85074399 94527110 141790665 170148798 283581330 425371995 850743990 4603470257 9206940514 13810410771 23017351285 27620821542 41431232313 46034702570 69052053855 82862464626 138104107710 207156161565 414312323130