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86141316120 = 23351947803857
BaseRepresentation
bin101000000111001101…
…1000010110000011000
322020100100002020221120
41100032123002300120
52402404134103440
6103323415205240
76136443051216
oct1201633026030
9266310066846
1086141316120
1133594588852
1214840676820
13817a57bc92
144252651cb6
15239271cdd0
hex140e6c2c18

86141316120 has 128 divisors (see below), whose sum is σ = 277813324800. Its totient is φ = 21298968576.

The previous prime is 86141316091. The next prime is 86141316133. The reversal of 86141316120 is 2161314168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294769 + ... + 509088.

It is an arithmetic number, because the mean of its divisors is an integer number (2170416600).

Almost surely, 286141316120 is an apocalyptic number.

It is an amenable number.

86141316120 is an abundant number, since it is smaller than the sum of its proper divisors (191672008680).

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

86141316120 is a wasteful number, since it uses less digits than its factorization.

86141316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803937 (or 803933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 86141316120 in words is "eighty-six billion, one hundred forty-one million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 7144 8930 10716 13395 17860 21432 26790 35720 53580 107160 803857 1607714 2411571 3215428 4019285 4823142 6430856 8038570 9646284 12057855 15273283 16077140 19292568 24115710 30546566 32154280 37781279 45819849 48231420 61093132 75562558 76366415 91639698 96462840 113343837 122186264 151125116 152732830 183279396 188906395 226687674 229099245 302250232 305465660 366558792 377812790 453375348 458198490 566719185 610931320 717844301 755625580 906750696 916396980 1133438370 1435688602 1511251160 1832793960 2153532903 2266876740 2871377204 3589221505 4307065806 4533753480 5742754408 7178443010 8614131612 10767664515 14356886020 17228263224 21535329030 28713772040 43070658060 86141316120