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414212310430 = 25675477112877
BaseRepresentation
bin1100000011100001111…
…10100100010110011110
31110121011011112112201121
412001300332210112132
523241301322413210
6514141515201154
741632365355252
oct6016076442636
91417134475647
10414212310430
1114a7370615a6
126833aa461ba
13300a1c24899
1416095944262
15ab944b86da
hex6070fa459e

414212310430 has 32 divisors (see below), whose sum is σ = 756855117216. Its totient is φ = 163180769664.

The previous prime is 414212310403. The next prime is 414212310431. The reversal of 414212310430 is 34013212414.

It is a super-2 number, since 2×4142123104302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414212310395 and 414212310404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414212310431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3613152 + ... + 3726028.

It is an arithmetic number, because the mean of its divisors is an integer number (23651722413).

Almost surely, 2414212310430 is an apocalyptic number.

414212310430 is a deficient number, since it is larger than the sum of its proper divisors (342642806786).

414212310430 is a wasteful number, since it uses less digits than its factorization.

414212310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118428.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414212310430 its reverse (34013212414), we get a palindrome (448225522844).

The spelling of 414212310430 in words is "four hundred fourteen billion, two hundred twelve million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 5 10 67 134 335 670 5477 10954 27385 54770 112877 225754 366959 564385 733918 1128770 1834795 3669590 7562759 15125518 37813795 75627590 618227329 1236454658 3091136645 6182273290 41421231043 82842462086 207106155215 414212310430