138787883431680
138,787,883,431,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138787883431680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138787883431680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138787883431680:
28 × 3 × 5 × 74 × 17 × 9412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 17 × 941 × 941)See below for interesting mathematical facts about the number 138787883431680 from the Numbermatics database.
Names of 138787883431680
- Cardinal: 138787883431680 can be written as One hundred thirty-eight trillion, seven hundred eighty-seven billion, eight hundred eighty-three million, four hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3878788343168 × 1014
Factors of 138787883431680
Divisors of 138787883431680
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 64 68 70 80 84 85 96 98 102 105 112 119 120 128 136 140 147 160 168 170 192 196 204 210 224 238 240 245 255 256 272 280 294 320 336 340 343 357 384 392 408 420 448 476 480 490 510 544 560 588 595 640 672 680 686 714 735 768 784 816 833 840 896 941 952 960 980 1020 1029 1088 1120 1176 1190 1280 1344 1360 1372 1428 1470 1568 1632 1666 1680 1715 1785 1792 1882 1904 1920 1960 2040 2058 2176 2240 2352 2380 2401 2499 2688 2720 2744 2823 2856 2940 3136 3264 3332 3360 3430 3570 3764 3808 3840 3920 4080 4116 4165 4352 4480 4704 4705 4760 4802 4998 5145 5376 5440 5488 5646 5712 5831 5880 6272 6528 6587 6664 6720 6860 7140 7203 7528 7616 7840 8160 8232 8330 8960 9408 9410 9520 9604 9996 10290 10880 10976 11292 11424 11662 11760 12005 12495 12544 13056 13174 13328 13440 13720 14115 14280 14406 15056 15232 15680 15997 16320 16464 16660 17493 18816 18820 19040 19208 19761 19992 20580 21760 21952 22584 22848 23324 23520 24010 24990 26348 26656 26880 27440 28230 28560 28812 29155 30112 30464 31360 31994 32640 32928 32935 33320 34986 36015 37632 37640 38080 38416 39522 39984 40817 41160 43904 45168 45696 46109 46648 47040 47991 48020 49980 52696 53312 54880 56460 57120 57624 58310 60224 62720 63988 65280 65856 65870 66640 69972 72030 75280 76160 76832 79044 79968 79985 81634 82320 87465 87808 90336 91392 92218 93296 94080 95982 96040 98805 99960 105392 106624 109760 111979 112920 114240 115248 116620 120448 122451 127976 131712 131740 133280 138327 139944 144060 150560 152320 153664 158088 159936 159970 163268 164640 174930 180672 184436 186592 188160 191964 192080 197610 199920 204085 210784 213248 219520 223958 225840 228480 230496 230545 233240 239955 240896 244902 255952 263424 263480 266560 276654 279888 288120 301120 307328 316176 319872 319940 322763 326536 329280 335937 349860 361344 368872 373184 383928 384160 395220 399840 408170 421568 439040 447916 451680 456960 460992 461090 466480 479910 489804 511904 526960 533120 553308 559776 559895 576240 602240 612255 614656 632352 639744 639880 645526 653072 658560 671874 691635 699720 722688 737744 746368 767856 768320 783853 790440 799680 816340 843136 885481 895832 903360 921984 922180 932960 959820 968289 979608 1023808 1053920 1066240 1106616 1119552 1119790 1152480 1204480 1224510 1264704 1279760 1291052 1306144 1317120 1343748 1383270 1399440 1475488 1492736 1535712 1536640 1567706 1580880 1599360 1613815 1632680 1679685 1686272 1770962 1791664 1806720 1843968 1844360 1865920 1919640 1936578 1959216 2047616 2107840 2213232 2239104 2239580 2259341 2304960 2351559 2449020 2529408 2559520 2582104 2612288 2656443 2687496 2766540 2798880 2950976 3071424 3073280 3135412 3161760 3198720 3227630 3265360 3359370 3541924 3583328 3613440 3688720 3731840 3839280 3873156 3918432 3919265 4095232 4215680 4426464 4427405 4478208 4479160 4518682 4609920 4703118 4841445 4898040 5058816 5119040 5164208 5224576 5312886 5374992 5486971 5533080 5597760 5901952 6142848 6198367 6270824 6323520 6455260 6530720 6718740 6778023 7083848 7166656 7377440 7463680 7678560 7746312 7836864 7838530 8431360 8852928 8854810 8958320 9037364 9219840 9406236 9682890 9796080 10238080 10328416 10449152 10625772 10749984 10973942 11066160 11195520 11296705 11757795 11803904 12285696 12396734 12541648 12647040 12910520 13061440 13282215 13437480 13556046 14167696 14333312 14754880 15053177 15357120 15492624 15673728 15677060 16460913 17705856 17709620 17916640 18074728 18595101 18812472 19365780 19592160 20476160 20656832 21251544 21499968 21947884 22132320 22391040 22593410 23515590 24793468 25083296 25294080 25821040 26122880 26564430 26874960 27112092 27434855 28335392 28666624 29509760 30106354 30714240 30985248 30991835 31347456 31354120 32921826 33890115 35411712 35419240 35833280 36149456 37190202 37624944 38408797 38731560 39184320 41313664 42503088 42999936 43388569 43895768 44264640 45159531 45186820 47031180 49586936 50166592 51642080 52245760 53128860 53749920 54224184 54869710 56670784 59019520 60212708 61428480 61970496 61983670 62708240 65843652 67780230 70838480 71666560 72298912 74380404 75249888 75265885 76817594 77463120 78368640 82304565 82627328 85006176 85999872 86777138 87791536 88529280 90319062 90373640 92975505 94062360 99173872 100333184 103284160 105372239 106257720 107499840 108448368 109739420 113341568 115226391 120425416 123940992 123967340 125416480 130165707 131687304 135560460 141676960 143333120 144597824 148760808 150499776 150531770 153635188 154926240 156737280 164609130 170012352 173554276 175583072 177058560 180638124 180747280 185951010 188124720 192043985 198347744 200666368 206568320 210744478 212515440 214999680 216896736 216942845 219478840 225797655 226683136 230452782 240850832 247881984 247934680 250832960 260331414 263374608 271120920 283353920 289195648 297521616 300999552 301063540 303719983 307270376 309852480 316116717 329218260 340024704 347108552 351166144 361276248 361494560 371902020 376249440 384087970 396695488 413136640 421488956 425030880 429999360 433793472 433885690 438957680 451595310 460905564 481701664 495869360 501665920 520662828 526749216 526861195 542241840 566707840 576131955 578391296 595043232 601999104 602127080 607439966 614540752 619704960 632233434 650828535 658436520 680049408 694217104 702332288 722552496 722989120 737605673 743804040 752498880 768175940 793390976 842977912 850061760 867586944 867771380 877915360 903190620 911159949 921811128 963403328 991738720 1003331840 1041325656 1053498432 1053722390 1084483680 1133415680 1152263910 1190086464 1204254160 1214879932 1229081504 1239409920 1264466868 1301657070 1316873040 1388434208 1404664576 1445104992 1445978240 1475211346 1487608080 1504997760 1518599915 1536351880 1580583585 1586781952 1685955824 1700123520 1735173888 1735542760 1755830720 1806381240 1822319898 1843622256 1926806656 1983477440 2082651312 2106996864 2107444780 2126039881 2168967360 2212817019 2304527820 2380172928 2408508320 2429759864 2458163008 2528933736 2603314140 2633746080 2776868416 2890209984 2891956480 2950422692 2975216160 3009995520 3037199830 3072703760 3161167170 3371911648 3400247040 3471085520 3511661440 3612762480 3644639796 3687244512 3688028365 3853613312 3966954880 4165302624 4213993728 4214889560 4252079762 4337934720 4425634038 4555799745 4609055640 4760345856 4817016640 4859519728 4916326016 5057867472 5163239711 5206628280 5267492160 5553736832 5780419968 5900845384 5950432320 6074399660 6145407520 6322334340 6378119643 6743823296 6942171040 7023322880 7225524960 7289279592 7374489024 7376056730 7933909760 8330605248 8429779120 8504159524 8675869440 8851268076 9111599490 9218111280 9634033280 9719039456 9832652032 10115734944 10326479422 10413256560 10534984320 10630199405 11064085095 11107473664 11560839936 11801690768 11900864640 12148799320 12290815040 12644668680 12756239286 13487646592 13884342080 14451049920 14578559184 14748978048 14752113460 15489719133 16661210496 16859558240 17008319048 17702536152 18223198980 18436222560 19268066560 19438078912 20231469888 20652958844 20826513120 21069968640 21260398810 22128170190 23603381536 23801729280 24297598640 24581630080 25289337360 25512478572 25816198555 26975293184 27768684160 28902099840 29157118368 29497956096 29504226920 30979438266 31890598215 33322420992 33719116480 34016638096 35405072304 36142677977 36446397960 36872445120 38876157824 40462939776 41305917688 41653026240 42520797620 44256340380 47206763072 48595197280 49163260160 50578674720 51024957144 51632397110 55537368320 57804199680 58314236736 59008453840 61958876532 63781196430 67438232960 68033276192 70810144608 72285355954 72892795920 73744890240 77448595665 77752315648 80925879552 82611835376 83306052480 85041595240 88512680760 94413526144 97190394560 101157349440 102049914288 103264794220 108428033931 116628473472 118016907680 123917753064 127562392860 134876465920 136066552384 141620289216 144570711908 145785591840 147489780480 154897191330 165223670752 166612104960 170083190480 177025361520 180713389885 188827052288 194380789120 202314698880 204099828576 206529588440 216856067862 233256946944 236033815360 247835506128 255124785720 272133104768 283240578432 289141423816 291571183680 309794382660 330447341504 340166380960 354050723040 361426779770 388761578240 404629397760 408199657152 413059176880 433712135724 472067630720 495671012256 510249571440 542140169655 544266209536 566481156864 578282847632 583142367360 619588765320 660894683008 680332761920 708101446080 722853559540 816399314304 826118353760 867424271448 944135261440 991342024512 1020499142880 1084280339310 1156565695264 1166284734720 1239177530640 1321789366016 1360665523840 1416202892160 1445707119080 1632798628608 1652236707520 1734848542896 1982684049024 2040998285760 2168560678620 2313131390528 2478355061280 2721331047680 2832405784320 2891414238160 3304473415040 3469697085792 3965368098048 4081996571520 4337121357240 4626262781056 4956710122560 5782828476320 6608946830080 6939394171584 8163993143040 8674242714480 9252525562112 9913420245120 11565656952640 13878788343168 17348485428960 19826840490240 23131313905280 27757576686336 34696970857920 46262627810560 69393941715840 138787883431680
- Sum of all divisors σ(n): 548098699918896
- Sum of proper divisors (its aliquot sum) s(n): 409310816487216
- 138787883431680 is an abundant number, because the sum of its proper divisors (409310816487216) is greater than itself. Its abundance is 270522933055536
Bases of 138787883431680
- Binary: 111111000111010000100100111110110110111000000002
- Hexadecimal: 0x7E3A127DB700
- Base-36: 1D729UEC5C
Squares and roots of 138787883431680
- 138787883431680 squared (1387878834316802) is 19262076587445595853227622400
- 138787883431680 cubed (1387878834316803) is 2673342840070491847411555247940679237632000
-
The
square root of 138787883431680 is 11780826.9417592243 -
The
cube root of 138787883431680 is 51774.6514905083
Scales and comparisons
How big is 138787883431680?- 138,787,883,431,680 seconds is equal to 4,413,025 years, 20 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 138,787,883,431,680 would take you about eleven million, thirty-two thousand, five hundred sixty-three 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 138787883431680 cubic inches would be around 4314.6 feet tall.
Recreational maths with 138787883431680
- 138787883431680 backwards is 086134388787831
- The number of decimal digits it has is: 15
- The sum of 138787883431680's digits is 75
- More coming soon!
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The information we have on file for 138787883431680 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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