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114300132342114 = 23292314011822189
BaseRepresentation
bin11001111111010010010010…
…110010010011100101100010
3112222200222121202012012001010
4121333102102302103211202
5104440143132334421424
61043032431135321350
733034624555402365
oct3177222262234542
9488628552165033
10114300132342114
11334684609aa704
12109a016b080256
134ba15c1454324
142032227bd20dc
15d3331e7be229
hex67f492c93962

114300132342114 has 96 divisors (see below), whose sum is σ = 245001696376320. Its totient is φ = 35510799744000.

The previous prime is 114300132342017. The next prime is 114300132342133. The reversal of 114300132342114 is 411243231003411.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61815732 + ... + 63637920.

It is an arithmetic number, because the mean of its divisors is an integer number (2552101003920).

Almost surely, 2114300132342114 is an apocalyptic number.

114300132342114 is an abundant number, since it is smaller than the sum of its proper divisors (130701564034206).

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

114300132342114 is a wasteful number, since it uses less digits than its factorization.

114300132342114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822684 (or 1822655 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 114300132342114 its reverse (411243231003411), we get a palindrome (525543363345525).

The spelling of 114300132342114 in words is "one hundred fourteen trillion, three hundred billion, one hundred thirty-two million, three hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 401 802 841 899 1203 1682 1798 2406 2523 2697 5046 5394 11629 12431 23258 24862 26071 34887 37293 52142 69774 74586 78213 156426 337241 360499 674482 720998 1011723 1081497 1822189 2023446 2162994 3644378 5466567 10454471 10933134 20908942 31363413 52843481 56487859 62726826 105686962 112975718 158530443 169463577 317060886 338927154 730697789 1461395578 1532460949 1638147911 2192093367 3064921898 3276295822 4384186734 4597382847 4914443733 9194765694 9828887466 21190235881 22651631459 42380471762 45303262918 47506289419 63570707643 67954894377 95012578838 127141415286 135909788754 142518868257 285037736514 614516840549 656897312311 1229033681098 1313794624622 1843550521647 1970691936933 3687101043294 3941383873866 19050022057019 38100044114038 57150066171057 114300132342114