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414412012442043 = 33711478215165791
BaseRepresentation
bin101111000111001111101000…
…0110010101101000110111011
32000100022101211200021201112000
41132032133100302231012323
5413304211300141121133
64025214130022352043
7153201164664301020
oct13616372062550673
92010271750251460
10414412012442043
11110054169363130
123a58b9a858b623
1314a30b6770cab5
1474499113b5547
1532d9c1a302413
hex178e7d0cad1bb

414412012442043 has 128 divisors (see below), whose sum is σ = 782674518343680. Its totient is φ = 210441886704000.

The previous prime is 414412012442033. The next prime is 414412012442081. The reversal of 414412012442043 is 340244210214414.

414412012442043 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 1 + 201 + 2 + 442 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 414412012442043 - 212 = 414412012437947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414412012441989 and 414412012442007.

It is not an unprimeable number, because it can be changed into a prime (414412012442023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77639478 + ... + 82805268.

It is an arithmetic number, because the mean of its divisors is an integer number (6114644674560).

Almost surely, 2414412012442043 is an apocalyptic number.

414412012442043 is a deficient number, since it is larger than the sum of its proper divisors (368262505901637).

414412012442043 is a wasteful number, since it uses less digits than its factorization.

414412012442043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166686 (or 5166680 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 414412012442043 its reverse (340244210214414), we get a palindrome (754656222656457).

The spelling of 414412012442043 in words is "four hundred fourteen trillion, four hundred twelve billion, twelve million, four hundred forty-two thousand, forty-three".

Divisors: 1 3 7 9 11 21 27 33 47 63 77 99 141 189 231 297 329 423 517 693 821 987 1269 1551 2079 2463 2961 3619 4653 5747 7389 8883 9031 10857 13959 17241 22167 27093 32571 38587 51723 63217 81279 97713 115761 155169 189651 243837 270109 347283 424457 568953 810327 1041849 1273371 1706859 2430981 2971199 3820113 5165791 7292943 8913597 11460339 15497373 26740791 36160537 46492119 56823701 80222373 108481611 139476357 170471103 242792177 325444833 397765907 511413309 728376531 976334499 1193297721 1534239927 1699545239 2185129593 2670713947 3579893163 4241114411 5098635717 6555388779 8012141841 10739679489 12723343233 15295907151 18694997629 24036425523 29687800877 38170029699 45887721453 46652258521 56084992887 72109276569 89063402631 114510089097 139956775563 168254978661 199332377317 267190207893 326565809647 419870326689 504764935983 597997131951 801570623679 979697428941 1259610980067 1395326641219 1793991395853 2192656150487 2939092286823 4185979923657 5381974187559 6577968451461 8817276860469 12557939770971 15348593053409 19733905354383 37673819312913 46045779160227 59201716063149 138137337480681 414412012442043