138763631677440
138,763,631,677,440 is an even composite number composed of seven prime numbers multiplied together.
138763631677440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 138763631677440:
212 × 3 × 5 × 72 × 11 × 232 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 138763631677440 from the Numbermatics database.
Names of 138763631677440
- Cardinal: 138763631677440 can be written as One hundred thirty-eight trillion, seven hundred sixty-three billion, six hundred thirty-one million, six hundred seventy-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3876363167744 × 1014
Factors of 138763631677440
Divisors of 138763631677440
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 28 30 32 33 35 40 42 44 46 48 49 55 56 60 64 66 69 70 77 80 84 88 89 92 96 98 105 110 112 115 120 128 132 138 140 147 154 160 161 165 168 176 178 184 192 196 210 220 224 230 231 240 245 253 256 264 267 276 280 294 308 320 322 330 336 345 352 356 368 384 385 392 420 440 445 448 460 462 480 483 490 506 512 528 529 534 539 552 560 588 616 623 640 644 660 672 690 704 712 735 736 759 768 770 784 805 840 880 890 896 920 924 960 966 979 980 1012 1024 1056 1058 1068 1078 1104 1120 1127 1155 1176 1232 1246 1265 1280 1288 1320 1335 1344 1380 1408 1424 1470 1472 1518 1536 1540 1568 1587 1610 1617 1680 1760 1771 1780 1792 1840 1848 1869 1920 1932 1958 1960 2024 2047 2048 2112 2116 2136 2156 2208 2240 2254 2310 2352 2415 2464 2492 2530 2560 2576 2640 2645 2670 2688 2695 2760 2816 2848 2937 2940 2944 3036 3072 3080 3115 3136 3174 3220 3234 3360 3381 3520 3542 3560 3584 3680 3696 3703 3738 3795 3840 3864 3916 3920 4048 4094 4096 4224 4232 4272 4312 4361 4416 4480 4508 4620 4704 4830 4895 4928 4984 5060 5120 5152 5280 5290 5313 5340 5376 5390 5520 5632 5635 5696 5819 5874 5880 5888 6072 6141 6144 6160 6230 6272 6348 6440 6468 6720 6762 6853 7040 7084 7120 7168 7360 7392 7406 7476 7590 7680 7728 7832 7840 7921 7935 8085 8096 8188 8448 8464 8544 8624 8722 8832 8855 8960 9016 9240 9345 9408 9660 9790 9856 9968 10120 10235 10240 10304 10560 10580 10626 10680 10752 10780 11040 11109 11264 11270 11392 11638 11748 11760 11776 12144 12282 12288 12320 12397 12460 12544 12696 12880 12936 13083 13440 13524 13706 14080 14168 14240 14329 14336 14685 14720 14784 14812 14952 15180 15360 15456 15664 15680 15842 15870 16170 16192 16376 16896 16905 16928 17088 17248 17444 17457 17664 17710 17920 18032 18480 18515 18690 18816 19320 19580 19712 19936 20240 20470 20480 20559 20608 21120 21160 21252 21360 21504 21560 21805 22080 22218 22517 22528 22540 22784 23276 23496 23520 23552 23763 24288 24564 24640 24794 24920 25088 25392 25760 25872 25921 26166 26565 26880 27048 27412 28160 28336 28480 28658 28672 29095 29370 29440 29568 29624 29904 30360 30705 30720 30912 31328 31360 31684 31740 32340 32384 32752 33792 33810 33856 34176 34265 34496 34888 34914 35328 35420 35840 36064 36960 37030 37191 37380 37632 38640 39160 39424 39605 39872 40480 40733 40940 41118 41216 42240 42320 42504 42720 42987 43008 43120 43610 44160 44436 45034 45056 45080 45568 46552 46992 47040 47081 47104 47526 47971 48576 49128 49280 49588 49840 50176 50784 51520 51744 51842 52332 53130 53760 54096 54824 55447 55545 56320 56672 56960 57316 58190 58740 58880 59136 59248 59808 60720 61410 61440 61824 61985 62656 62720 63368 63480 64680 64768 65415 65504 67551 67584 67620 67712 68352 68530 68992 69776 69828 70656 70840 71645 71680 72128 73920 74060 74382 74760 75264 77280 77763 78320 78848 79210 79744 80960 81466 81880 82236 82432 84480 84640 85008 85440 85974 86016 86240 87131 87220 87285 88320 88872 90068 90160 91136 93104 93984 94080 94162 94208 95052 95942 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12491100160 12569169536 12872322048 12905843720 12992849408 13058877440 13115655168 13140495424 13466967360 13551135906 13557755904 13711821312 13920910080 14079102240 14174017536 14364765184 14749535680 14848970752 15017709056 15390819840 15487012464 15670652928 15711461920 15909611520 16090402560 16241061760 16394568960 16425619280 16947194880 17139776640 17163096064 17487540224 17518448640 17699442816 17717521920 17955956480 18068181208 18282428416 18561213440 18736650240 18772136320 18853754304 19358765580 19489274112 19588316160 19710743136 20248596480 20521093120 20649349952 21453870080 21547147776 21859425280 22124303520 22273456128 22526563584 22585226510 22596259840 22853035520 23567192880 23599257088 23623362560 23846645760 24361592640 24625311744 24638428920 25138339072 25744644096 25811687440 25985698816 26117754880 26231310336 26280990848 26933934720 27102271812 27423642624 27841820160 28158204480 28348035072 28729530368 29499071360 30035418112 30781639680 30974024928 31422923840 31819223040 32180805120 32482123520 32789137920 32851238560 33877839765 33894389760 34279553280 35398885632 35435043840 35911912960 36136362416 36564856832 37122426880 37473300480 37544272640 37707508608 38717531160 38978548224 39176632320 39421486272 41042186240 41298699904 42907740160 43094295552 43718850560 44248607040 44546912256 45053127168 45170453020 45706071040 47134385760 47198514176 47246725120 48723185280 49276857840 50276678144 51489288192 51623374880 51971397632 52462620672 52561981696 53867869440 54204543624 54847285248 55683640320 56316408960 57459060736 58998142720 60070836224 61563279360 61948049856 62845847680 64361610240 64964247040 65578275840 65702477120 67755679530 67788779520 68559106560 70797771264 70870087680 71823825920 72272724832 74244853760 75088545280 75415017216 77435062320 77957096448 78353264640 78842972544 82597399808 85815480320 86188591104 87437701120 88497214080 90106254336 90340906040 91412142080 94268771520 94397028352 97446370560 98553715680 100553356288 103246749760 103942795264 105123963392 107735738880 108409087248 109694570496 111367280640 112632817920 117996285440 120141672448 123126558720 123896099712 125691695360 128723220480 129928494080 131156551680 131404954240 135511359060 137118213120 141595542528 141740175360 143647651840 144545449664 150177090560 150830034432 154870124640 155914192896 157685945088 165194799616 172377182208 176994428160 180212508672 180681812080 182824284160 188537543040 188794056704 194892741120 197107431360 201106712576 206493499520 210247926784 215471477760 216818174496 222734561280 225265635840 235992570880 247792199424 251383390720 257446440960 259856988160 262313103360 262809908480 271022718120 274236426240 283191085056 287295303680 289090899328 300354181120 301660068864 309740249280 311828385792 315371890176 330389599232 353988856320 360425017344 361363624160 377075086080 389785482240 394214862720 402213425152 412986999040 420495853568 430942955520 433636348992 450531271680 471985141760 495584398848 502766781440 519713976320 525619816960 542045436240 548472852480 566382170112 578181798656 600708362240 603320137728 619480498560 630743780352 660779198464 707977712640 722727248320 754150172160 779570964480 788429725440 825973998080 840991707136 861885911040 867272697984 901062543360 943970283520 991168797696 1005533562880 1051239633920 1084090872480 1156363597312 1206640275456 1238960997120 1261487560704 1321558396928 1415955425280 1445454496640 1508300344320 1559141928960 1576859450880 1651947996160 1734545395968 1802125086720 1982337595392 2011067125760 2102479267840 2168181744960 2312727194624 2477921994240 2522975121408 2831910850560 2890908993280 3016600688640 3153718901760 3303895992320 3469090791936 3964675190784 4204958535680 4336363489920 4625454389248 4955843988480 5781817986560 6033201377280 6307437803520 6607791984640 6938181583872 8672726979840 9250908778496 9911687976960 11563635973120 12614875607040 13876363167744 17345453959680 19823375953920 23127271946240 27752726335488 34690907919360 46254543892480 69381815838720 138763631677440
- Sum of all divisors σ(n): 595684270546848
- Sum of proper divisors (its aliquot sum) s(n): 456920638869408
- 138763631677440 is an abundant number, because the sum of its proper divisors (456920638869408) is greater than itself. Its abundance is 318157007191968
Bases of 138763631677440
- Binary: 111111000110100011011001111100101010000000000002
- Hexadecimal: 0x7E346CF95000
- Base-36: 1D6R4RJ2TC
Squares and roots of 138763631677440
- 138763631677440 squared (1387636316774402) is 19255345476312229828204953600
- 138763631677440 cubed (1387636316774403) is 2671941667496850740141182548541685366784000
-
The
square root of 138763631677440 is 11779797.6076603285 -
The
cube root of 138763631677440 is 51771.6356190077
Scales and comparisons
How big is 138763631677440?- 138,763,631,677,440 seconds is equal to 4,412,254 years, 13 weeks, 4 days, 19 hours, 44 minutes.
-
To count from 1 to 138,763,631,677,440 would take you about eleven million, thirty thousand, six hundred thirty-five 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 138763631677440 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138763631677440
- 138763631677440 backwards is 044776136367831
- 138763631677440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138763631677440's digits is 66
- More coming soon!
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"Number 138763631677440 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 138763631677440 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/138763631677440/
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The information we have on file for 138763631677440 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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