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32430440133 = 327213172691237
BaseRepresentation
bin11110001101000000…
…010011111011000101
310002201010121001110100
4132031000103323011
51012404143041013
622522012514313
72225441123100
oct361500237305
9102633531410
1032430440133
1112832157743
126350a7b999
13309aa7b160
1417d914d737
15c9c1b4473
hex78d013ec5

32430440133 has 144 divisors (see below), whose sum is σ = 62417038320. Its totient is φ = 16027103232.

The previous prime is 32430440123. The next prime is 32430440137. The reversal of 32430440133 is 33104403423.

32430440133 is a `hidden beast` number, since 324 + 304 + 4 + 0 + 1 + 33 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1001532609 + 31428907524 = 31647^2 + 177282^2 .

It is not a de Polignac number, because 32430440133 - 212 = 32430436037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32430440097 and 32430440106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32430440137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26216391 + ... + 26217627.

It is an arithmetic number, because the mean of its divisors is an integer number (433451655).

Almost surely, 232430440133 is an apocalyptic number.

It is an amenable number.

32430440133 is a deficient number, since it is larger than the sum of its proper divisors (29986598187).

32430440133 is a wasteful number, since it uses less digits than its factorization.

32430440133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

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

Adding to 32430440133 its reverse (33104403423), we get a palindrome (65534843556).

The spelling of 32430440133 in words is "thirty-two billion, four hundred thirty million, four hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 269 273 357 441 637 663 807 819 833 1071 1237 1547 1883 1911 1989 2421 2499 3497 3711 4573 4641 5649 5733 7497 8659 10491 10829 11133 13181 13719 13923 16081 16947 21029 24479 25977 31473 32011 32487 39543 41157 48243 59449 60613 63087 73437 77931 96033 97461 112567 118629 144729 147203 171353 178347 181839 189261 220311 224077 273377 288099 332753 337701 416143 441609 514059 535041 545517 672231 787969 820131 998259 1013103 1030421 1248429 1324827 1542177 1913639 2016693 2329271 2363907 2460393 2913001 2994777 3091263 3745287 4325789 5656801 5740917 6987813 7091721 8739003 9273789 12977367 13395473 16304897 16970403 17222751 20963439 26217009 30280523 38932101 39597607 40186419 48914691 50911209 73538413 90841569 118792821 120559257 146744073 211963661 220615239 272524707 277183249 356378463 514768891 635890983 661845717 831549747 1544306673 1907672949 2494649241 3603382237 4632920019 10810146711 32430440133