71680338132480
71,680,338,132,480 is an even composite number composed of seven prime numbers multiplied together.
71680338132480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 71680338132480:
29 × 35 × 5 × 72 × 11 × 313 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 313 × 683)See below for interesting mathematical facts about the number 71680338132480 from the Numbermatics database.
Names of 71680338132480
- Cardinal: 71680338132480 can be written as Seventy-one trillion, six hundred eighty billion, three hundred thirty-eight million, one hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 7.168033813248 × 1013
Factors of 71680338132480
Divisors of 71680338132480
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 49 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 98 99 105 108 110 112 120 126 128 132 135 140 144 147 154 160 162 165 168 176 180 189 192 196 198 210 216 220 224 231 240 243 245 252 256 264 270 280 288 294 297 308 313 315 320 324 330 336 352 360 378 384 385 392 396 405 420 432 440 441 448 462 480 486 490 495 504 512 528 539 540 560 567 576 588 594 616 626 630 640 648 660 672 683 693 704 720 735 756 768 770 784 792 810 840 864 880 882 891 896 924 939 945 960 972 980 990 1008 1056 1078 1080 1120 1134 1152 1155 1176 1188 1215 1232 1252 1260 1280 1296 1320 1323 1344 1366 1386 1408 1440 1470 1485 1512 1536 1540 1565 1568 1584 1617 1620 1680 1701 1728 1760 1764 1782 1792 1848 1878 1890 1920 1944 1960 1980 2016 2049 2079 2112 2156 2160 2191 2205 2240 2268 2304 2310 2352 2376 2430 2464 2504 2520 2560 2592 2640 2646 2673 2688 2695 2732 2772 2816 2817 2835 2880 2940 2970 3024 3080 3130 3136 3168 3234 3240 3360 3402 3415 3443 3456 3465 3520 3528 3564 3584 3696 3756 3780 3840 3888 3920 3960 3969 4032 4098 4158 4224 4312 4320 4382 4410 4455 4480 4536 4608 4620 4695 4704 4752 4781 4851 4860 4928 5008 5040 5184 5280 5292 5346 5376 5390 5464 5544 5632 5634 5670 5760 5880 5940 6048 6147 6160 6237 6260 6272 6336 6468 6480 6573 6615 6720 6804 6830 6886 6912 6930 7040 7056 7128 7392 7512 7513 7560 7680 7776 7840 7920 7938 8064 8085 8196 8316 8448 8451 8505 8624 8640 8764 8820 8910 8960 9072 9240 9390 9408 9504 9562 9702 9720 9856 10016 10080 10245 10329 10368 10395 10560 10584 10692 10752 10780 10928 10955 11088 11268 11340 11520 11760 11880 11907 12096 12294 12320 12474 12520 12544 12672 12936 12960 13146 13230 13365 13440 13608 13660 13772 13824 13860 14080 14085 14112 14256 14343 14553 14784 15024 15026 15120 15337 15552 15680 15840 15876 16128 16170 16392 16632 16896 16902 17010 17215 17248 17280 17528 17640 17820 17920 18144 18441 18480 18711 18780 18816 19008 19124 19404 19440 19712 19719 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18285800544 18436300960 18666754722 18963052416 19084222080 19394030880 20000094345 20112328320 20317556160 20363732424 20686966272 20740838580 20819151360 20989850112 21070058240 21333433968 22123561152 22164606720 22626369360 22857250680 22901066496 23272837056 23703815520 24134793984 24381067392 24889006296 25284069888 25445629440 25454665530 25858707840 26237312640 26597528064 26666792460 26816437760 27090074880 27151643232 27654451440 28000132083 28444578624 28626333120 29091046320 29498081536 30168492480 30476334240 31030449408 31111257870 31605087360 32000150952 32508089856 32715809280 33185341728 33246910080 33939554040 34478277120 34983083520 35555723280 36202190976 36571601088 36872601920 37333509444 37926104832 38168444160 38788061760 40000188690 40224656640 40635112320 40727464848 41481677160 42140116480 42666867936 44247122304 44329213440 45252738720 45714501360 45802132992 46545674112 46666886805 47407631040 48269587968 48762134784 49778012592 50909331060 51717415680 52474625280 53333584920 54180149760 54303286464 55308902880 56000264166 56889157248 57252666240 58182092640 58996163072 60336984960 60952668480 62060898816 62222515740 63210174720 64000301904 66370683456 66493820160 67879108080 71111446560 72404381952 73143202176 73745203840 74667018888 75852209664 76336888320 77576123520 80000377380 80449313280 81270224640 81454929696 82963354320 85333735872 88494244608 90505477440 91429002720 93091348224 93333773610 94815262080 97524269568 99556025184 101818662120 103434831360 104949250560 106667169840 108606572928 110617805760 112000528332 113778314496 114505332480 116364185280 120673969920 121905336960 124445031480 126420349440 128000603808 132741366912 132987640320 135758216160 140000660415 142222893120 144808763904 146286404352 147490407680 149334037776 155152247040 160000754760 162540449280 162909859392 165926708640 170667471744 176988489216 181010954880 182858005440 186182696448 186667547220 189630524160 199112050368 203637324240 213334339680 217213145856 221235611520 224001056664 227556628992 229010664960 232728370560 241347939840 243810673920 248890062960 256001207616 265482733824 271516432320 280001320830 284445786240 292572808704 294980815360 298668075552 310304494080 320001509520 325819718784 331853417280 341334943488 362021909760 365716010880 373335094440 379261048320 398224100736 407274648480 426668679360 434426291712 442471223040 448002113328 465456741120 487621347840 497780125920 512002415232 530965467648 543032864640 560002641660 568891572480 597336151104 640003019040 651639437568 663706834560 682669886976 724043819520 731432021760 746670188880 796448201472 814549296960 853337358720 884942446080 896004226656 930913482240 995560251840 1024004830464 1086065729280 1120005283320 1137783144960 1194672302208 1280006038080 1303278875136 1327413669120 1462864043520 1493340377760 1592896402944 1629098593920 1706674717440 1792008453312 1991120503680 2048009660928 2172131458560 2240010566640 2389344604416 2560012076160 2654827338240 2986680755520 3258197187840 3413349434880 3584016906624 3982241007360 4480021133280 4778689208832 5120024152320 5973361511040 6516394375680 7168033813248 7964482014720 8960042266560 10240048304640 11946723022080 14336067626496 17920084533120 23893446044160 35840169066240 71680338132480
- Sum of all divisors σ(n): 328223837829888
- Sum of proper divisors (its aliquot sum) s(n): 256543499697408
- 71680338132480 is an abundant number, because the sum of its proper divisors (256543499697408) is greater than itself. Its abundance is 184863161564928
Bases of 71680338132480
- Binary: 100000100110001011000010001011101111110000000002
- Hexadecimal: 0x413161177E00
- Base-36: PEPHQLC00
Squares and roots of 71680338132480
- 71680338132480 squared (716803381324802) is 5138070874786666374030950400
- 71680338132480 cubed (716803381324803) is 368298657653355553075510508364855508992000
-
The
square root of 71680338132480 is 8466424.1644557355 -
The
cube root of 71680338132480 is 41540.0181328203
Scales and comparisons
How big is 71680338132480?- 71,680,338,132,480 seconds is equal to 2,279,213 years, 1 week, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 71,680,338,132,480 would take you about five million, six hundred ninety-eight thousand and thirty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 71680338132480 cubic inches would be around 3461.7 feet tall.
Recreational maths with 71680338132480
- 71680338132480 backwards is 08423183308617
- 71680338132480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 71680338132480's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 71680338132480 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 71680338132480 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/71680338132480/
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The information we have on file for 71680338132480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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