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434430120033 = 3272131392392281
BaseRepresentation
bin1100101001001100000…
…11011001000001100001
31112112100011220200120200
412110212003121001201
524104203102320113
6531324025055413
743246404043500
oct6244603310141
91475304820520
10434430120033
11158271528158
1270241927569
1331c74780c30
1417052b26837
15b47940a873
hex65260d9061

434430120033 has 144 divisors (see below), whose sum is σ = 795428524800. Its totient is φ = 226450183680.

The previous prime is 434430119993. The next prime is 434430120037. The reversal of 434430120033 is 330021034434.

It is not a de Polignac number, because 434430120033 - 28 = 434430119777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434430119979 and 434430120006.

It is not an unprimeable number, because it can be changed into a prime (434430120037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190454853 + ... + 190457133.

It is an arithmetic number, because the mean of its divisors is an integer number (5523809200).

Almost surely, 2434430120033 is an apocalyptic number.

It is an amenable number.

434430120033 is a deficient number, since it is larger than the sum of its proper divisors (360998404767).

434430120033 is a wasteful number, since it uses less digits than its factorization.

434430120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 434430120033 its reverse (330021034434), we get a palindrome (764451154467).

The spelling of 434430120033 in words is "four hundred thirty-four billion, four hundred thirty million, one hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 139 147 239 273 417 441 637 717 819 973 1251 1673 1807 1911 2151 2281 2919 3107 5019 5421 5733 6811 6843 8757 9321 11711 12649 15057 15967 16263 20433 20529 21749 27963 29653 33221 35133 37947 47901 61299 65247 88543 88959 99663 105399 111769 113841 143703 152243 195741 207571 232547 265629 266877 298989 317059 335307 431873 456729 545159 622713 697641 796887 951177 1005921 1295619 1370187 1452997 1627829 1635477 1868139 2092923 2219413 2853531 3023111 3816113 3886857 4121767 4358991 4883487 4906431 6658239 7087067 9069333 11448339 12365301 13076973 14650461 15535891 19974717 21161777 21261201 26712791 27207999 28852369 34345017 37095903 46607673 49609469 63485331 63783603 75777101 80138373 86557107 139823019 148828407 190455993 201966583 227331303 240415119 259671321 347266283 446485221 530439707 605899749 681993909 985102313 1041798849 1591319121 1817699247 2955306939 3125396547 3713077949 4773957363 6895716191 8865920817 11139233847 20687148573 33417701541 48270013337 62061445719 144810040011 434430120033