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80280711140 = 225721031077433
BaseRepresentation
bin100101011000100011…
…0100110111111100100
321200012220022200021212
41022301012212333210
52303403330224030
6100514102130552
75541300533300
oct1126106467744
9250186280255
1080280711140
1131057406563
1213685a20a58
13775533b096
143c5816ad00
15214ce6c595
hex12b11a6fe4

80280711140 has 144 divisors (see below), whose sum is σ = 199895859072. Its totient is φ = 26999207424.

The previous prime is 80280711127. The next prime is 80280711143. The reversal of 80280711140 is 4111708208.

It is a super-2 number, since 2×802807111402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80280711097 and 80280711106.

It is not an unprimeable number, because it can be changed into a prime (80280711143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10796864 + ... + 10804296.

It is an arithmetic number, because the mean of its divisors is an integer number (1388165688).

Almost surely, 280280711140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80280711140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99947929536).

80280711140 is an abundant number, since it is smaller than the sum of its proper divisors (119615147932).

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

80280711140 is a wasteful number, since it uses less digits than its factorization.

80280711140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 80280711140 in words is "eighty billion, two hundred eighty million, seven hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 107 140 196 206 214 245 412 428 490 515 535 721 749 980 1030 1070 1442 1498 2060 2140 2884 2996 3605 3745 5047 5243 7210 7433 7490 10094 10486 11021 14420 14866 14980 20188 20972 22042 25235 26215 29732 37165 44084 50470 52031 52430 55105 74330 77147 100940 104062 104860 110210 148660 154294 208124 220420 260155 308588 364217 385735 520310 540029 728434 765599 771470 795331 1040620 1080058 1456868 1531198 1542940 1590662 1821085 2160116 2700145 3062396 3181324 3642170 3827995 3976655 5359193 5400290 5567317 7284340 7655990 7953310 10718386 10800580 11134634 15311980 15906620 21436772 22269268 26795965 27836585 37514351 38971219 53591930 55673170 75028702 77942438 81919093 107183860 111346340 150057404 155884876 163838186 187571755 194856095 327676372 375143510 389712190 409595465 573433651 750287020 779424380 819190930 1146867302 1638381860 2293734604 2867168255 4014035557 5734336510 8028071114 11468673020 16056142228 20070177785 40140355570 80280711140