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414454103514234 = 232716073204648683
BaseRepresentation
bin101111000111100011001110…
…1100111011001110001111010
32000100110102111002001201210200
41132033012131213121301322
5413310404000444423414
64025245330420223030
7153204215022433140
oct13617063547316172
92010412432051720
10414454103514234
1111006aaa8701703
123a597b9483aa76
1314a34b14a75684
14744b985587590
1532dad8068b109
hex178f19d9d9c7a

414454103514234 has 48 divisors (see below), whose sum is σ = 1026331159344192. Its totient is φ = 118408090215744.

The previous prime is 414454103514151. The next prime is 414454103514263. The reversal of 414454103514234 is 432415301454414.

414454103514234 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 5 + 4 + 103 + 514 + 23 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414454103514234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100299144 + ... + 104349539.

It is an arithmetic number, because the mean of its divisors is an integer number (21381899153004).

Almost surely, 2414454103514234 is an apocalyptic number.

414454103514234 is an abundant number, since it is smaller than the sum of its proper divisors (611877055829958).

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

414454103514234 is a wasteful number, since it uses less digits than its factorization.

414454103514234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204664771 (or 204664768 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 414454103514234 its reverse (432415301454414), we get a palindrome (846869404968648).

The spelling of 414454103514234 in words is "four hundred fourteen trillion, four hundred fifty-four billion, one hundred three million, five hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 16073 32146 48219 96438 112511 144657 225022 289314 337533 675066 1012599 2025198 204648683 409297366 613946049 1227892098 1432540781 1841838147 2865081562 3683676294 4297622343 8595244686 12892867029 25785734058 3289318281859 6578636563718 9867954845577 19735909691154 23025227973013 29603864536731 46050455946026 59207729073462 69075683919039 138151367838078 207227051757117 414454103514234