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414433100343 = 313117927121739
BaseRepresentation
bin1100000011111100010…
…00110100001000110111
31110121201112222211112210
412001332020310020313
523242224333202333
6514215443344503
741641016141523
oct6017610641067
91417645884483
10414433100343
1114a83a7542a9
12683a0982133
13301088aa9c2
14160b6db8d83
15aba8a7ca63
hex607e234237

414433100343 has 32 divisors (see below), whose sum is σ = 561998131200. Its totient is φ = 271629352800.

The previous prime is 414433100329. The next prime is 414433100351. The reversal of 414433100343 is 343001334414.

It is not a de Polignac number, because 414433100343 - 212 = 414433096247 is a prime.

It is a super-2 number, since 2×4144331003432 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414433100343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414433100243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19053168 + ... + 19074906.

It is an arithmetic number, because the mean of its divisors is an integer number (17562441600).

Almost surely, 2414433100343 is an apocalyptic number.

414433100343 is a deficient number, since it is larger than the sum of its proper divisors (147565030857).

414433100343 is a wasteful number, since it uses less digits than its factorization.

414433100343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22323.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 414433100343 its reverse (343001334414), we get a palindrome (757434434757).

The spelling of 414433100343 in words is "four hundred fourteen billion, four hundred thirty-three million, one hundred thousand, three hundred forty-three".

Divisors: 1 3 131 179 271 393 537 813 21739 23449 35501 48509 65217 70347 106503 145527 2847809 3891281 5891269 6354679 8543427 11673843 17673807 19064037 509757811 771756239 1054537151 1529273433 2315268717 3163611453 138144366781 414433100343