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14202305082 = 23272921011327
BaseRepresentation
bin11010011101000010…
…11111101000111010
31100122210010211222100
431032201133220322
5213041242230312
610305140404230
71011642413160
oct151641375072
940583124870
1014202305082
116028916019
1229043a6676
1314544c2424
1498a2d9230
15581c955dc
hex34e85fa3a

14202305082 has 144 divisors (see below), whose sum is σ = 36810438912. Its totient is φ = 3876163200.

The previous prime is 14202305069. The next prime is 14202305099. The reversal of 14202305082 is 28050320241.

14202305082 is a `hidden beast` number, since 1 + 420 + 230 + 5 + 0 + 8 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10701903 + ... + 10703229.

It is an arithmetic number, because the mean of its divisors is an integer number (255628048).

Almost surely, 214202305082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14202305082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405219456).

14202305082 is an abundant number, since it is smaller than the sum of its proper divisors (22608133830).

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

14202305082 is a wasteful number, since it uses less digits than its factorization.

14202305082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14202305082 in words is "fourteen billion, two hundred two million, three hundred five thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 101 126 174 202 203 261 303 406 522 606 609 707 841 909 1218 1327 1414 1682 1818 1827 2121 2523 2654 2929 3654 3981 4242 5046 5858 5887 6363 7569 7962 8787 9289 11774 11943 12726 15138 17574 17661 18578 20503 23886 26361 27867 35322 38483 41006 52722 52983 55734 61509 76966 83601 84941 105966 115449 123018 134027 167202 169882 184527 230898 254823 268054 269381 346347 369054 402081 509646 538762 594587 692694 764469 804162 808143 938189 1116007 1189174 1206243 1528938 1616286 1783761 1876378 2232014 2412486 2424429 2814567 3348021 3567522 3886783 4848858 5351283 5629134 6696042 7773566 7812049 8443701 10044063 10702566 11660349 15624098 16887402 20088126 23320698 23436147 27207481 34981047 46872294 54414962 69962094 70308441 81622443 112716707 140616882 163244886 225433414 244867329 338150121 489734658 676300242 789016949 1014450363 1578033898 2028900726 2367050847 4734101694 7101152541 14202305082