136731318993984
136,731,318,993,984 is an even composite number composed of seven prime numbers multiplied together.
136731318993984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 136731318993984:
26 × 3 × 11 × 132 × 17 × 472 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 17 × 47 × 47 × 101 × 101)See below for interesting mathematical facts about the number 136731318993984 from the Numbermatics database.
Names of 136731318993984
- Cardinal: 136731318993984 can be written as One hundred thirty-six trillion, seven hundred thirty-one billion, three hundred eighteen million, nine hundred ninety-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.36731318993984 × 1014
Factors of 136731318993984
Divisors of 136731318993984
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 22 24 26 32 33 34 39 44 47 48 51 52 64 66 68 78 88 94 96 101 102 104 132 136 141 143 156 169 176 187 188 192 202 204 208 221 264 272 282 286 303 312 338 352 374 376 404 408 416 429 442 507 517 528 544 561 564 572 606 611 624 663 676 704 748 752 799 808 816 832 858 884 1014 1034 1056 1088 1111 1122 1128 1144 1212 1222 1248 1313 1326 1352 1496 1504 1551 1598 1616 1632 1716 1717 1768 1833 1859 2028 2068 2112 2209 2222 2244 2256 2288 2397 2424 2431 2444 2496 2626 2652 2704 2873 2992 3008 3102 3196 3232 3264 3333 3432 3434 3536 3666 3718 3939 4056 4136 4418 4444 4488 4512 4576 4747 4794 4848 4862 4888 5151 5252 5304 5408 5577 5746 5984 6204 6392 6464 6627 6666 6721 6864 6868 7072 7293 7332 7436 7878 7943 8112 8272 8619 8789 8836 8888 8976 9024 9152 9494 9588 9696 9724 9776 10201 10302 10387 10504 10608 10816 11154 11492 11968 12408 12784 13254 13332 13442 13728 13736 14144 14241 14443 14586 14664 14872 15756 15886 16224 16544 17069 17238 17578 17672 17776 17952 18887 18988 19176 19392 19448 19552 20163 20402 20604 20774 21008 21216 22308 22321 22984 23829 24299 24816 25568 26367 26508 26664 26884 27456 27472 28482 28717 28886 29172 29328 29744 30603 31161 31512 31603 31772 32448 33088 34138 34476 35156 35344 35552 35904 37553 37774 37976 38352 38896 39104 40326 40804 41208 41548 42016 42432 43329 44616 44642 45968 47658 48598 49632 51136 51207 52217 52734 53016 53328 53768 54944 56661 56964 57434 57772 58344 58656 59488 61206 61711 62322 63024 63206 63544 66963 68276 68952 70312 70688 71104 72897 75106 75548 75952 76704 77792 80652 80699 81608 82416 83096 84032 86151 86658 87373 89232 89284 91936 94809 95316 97196 99264 102414 104434 105468 106032 106656 107536 109888 112211 112659 113322 113928 114257 114868 115544 116688 117312 118976 122412 123422 124644 126048 126412 127088 132613 133926 135031 136552 137904 140624 141376 145794 150212 151096 151904 153408 155584 156651 161304 161398 163216 164832 166192 172302 173316 173417 174746 178464 178568 183872 185133 187759 189618 190632 194392 204828 208868 210936 212064 213312 215072 223109 224422 225318 226644 227856 228514 229736 231088 233376 242097 244824 245531 246844 249288 252096 252824 254176 262119 265226 267852 270062 273104 275808 281248 290173 291588 300424 302192 303808 313302 315887 322608 322796 326432 329664 332384 336633 342771 344604 346632 346834 349492 356928 357136 370266 373321 375518 379236 381264 388784 397839 405093 409656 413083 417736 421872 424128 430144 446218 448844 450636 453288 455712 457028 459472 462176 466752 479447 484194 488189 489648 491062 493688 498576 505648 508352 520251 524238 530452 535704 540124 546208 551616 562496 563277 580346 583176 600848 604384 626604 631774 645216 645592 652864 664768 669327 673266 678821 685542 689208 693264 693668 698984 714272 736593 740532 746642 751036 758472 762528 777568 795678 802243 810186 819312 826166 835472 843744 870519 887689 892436 897688 901272 906576 911424 914056 918944 924352 947661 958894 968388 976378 979296 982124 987376 997152 1011296 1040502 1048476 1049087 1060904 1071408 1080248 1092416 1119963 1126554 1160692 1166352 1201696 1208768 1239249 1253208 1263548 1290432 1291184 1338654 1346532 1357642 1371084 1378416 1386528 1387336 1397968 1428544 1438341 1458743 1464567 1473186 1481064 1485341 1493284 1502072 1516944 1525056 1555136 1591356 1604486 1620372 1638624 1652332 1670944 1687488 1723969 1741038 1775378 1784872 1795376 1802544 1813152 1828112 1837888 1895322 1907587 1917788 1936776 1952756 1958592 1964248 1974752 1994304 2022592 2036463 2081004 2096952 2098174 2121808 2142816 2160496 2239926 2253108 2254421 2321384 2332704 2403392 2406729 2454199 2478498 2506416 2527096 2582368 2663067 2677308 2693064 2715284 2742168 2756832 2773056 2774672 2795936 2876682 2900417 2917486 2929134 2946372 2962128 2970682 2986568 3004144 3033888 3147261 3182712 3191903 3208972 3240744 3277248 3304664 3341888 3447938 3482076 3550756 3569744 3590752 3605088 3626304 3656224 3790644 3792853 3815174 3835576 3873552 3905512 3928496 3949504 4072926 4106531 4162008 4193904 4196348 4243616 4285632 4320992 4376229 4456023 4479852 4506216 4508842 4642768 4665408 4813458 4908398 4956996 5012832 5054192 5164736 5171907 5273917 5326134 5354616 5370079 5386128 5430568 5484336 5513664 5549344 5591872 5722761 5753364 5800834 5834972 5858268 5892744 5924256 5941364 5973136 6008288 6067776 6232811 6294522 6346457 6365424 6383806 6417944 6481488 6609328 6763263 6895876 6964152 7101512 7139488 7181504 7210176 7312448 7362597 7581288 7585706 7630348 7671152 7747104 7811024 7856992 8145852 8150599 8213062 8324016 8387808 8392696 8487232 8641984 8701251 8752458 8824673 8912046 8959704 9012432 9017684 9285536 9575709 9626916 9816796 9913992 10025664 10108384 10343814 10547834 10652268 10709232 10740158 10772256 10861136 10968672 11098688 11378559 11445522 11506728 11539957 11601668 11669944 11716536 11785488 11848512 11882728 11946272 12016576 12319593 12465622 12589044 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131408992 135204054 137121842 138479484 139220016 139622054 140039328 141194768 142592736 144282944 147921267 148791786 149587464 150019441 150821684 151709272 152314968 153211344 154030656 157068736 162053086 163657572 165501024 166885532 168765344 170436288 171842528 175844838 179313178 180272072 182056944 183128352 184639312 185626688 191427522 195614376 197113488 197228356 198389048 199449952 201424704 203086624 204281792 205682763 209433081 211792152 211915574 216424416 218210096 226232526 227563908 234459784 235603104 242742592 243079629 247874099 250328298 253148016 255236696 257763792 260819168 262817984 268969767 270408108 274243684 276958968 278440032 279244108 280078656 282389536 285185472 292942117 295842534 297583572 299174928 300038882 301643368 303418544 304629936 306422688 317873361 322382203 324106172 327315144 331002048 333771064 337530688 343685056 351689676 358626356 360544144 364113888 366256704 369278624 382855044 383078153 391228752 394226976 394456712 396778096 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1335084256 1377451231 1406758704 1434505424 1442176576 1487244594 1531420176 1532312612 1564915008 1577826848 1587112384 1627133937 1645462104 1659038524 1675464648 1694337216 1695324592 1757652702 1782583946 1800233292 1809860208 1820511264 1875678272 1922976471 1934293218 1944637032 1982992792 2002626384 2041893568 2151758136 2163264864 2169511916 2193949472 2215671744 2233952864 2298468918 2331071314 2343536936 2366740272 2380668576 2400311056 2413146944 2488557786 2542986888 2563968628 2579057624 2592849376 2618521152 2670168512 2673875919 2754902462 2813517408 2869010848 2974489188 3062840352 3064625224 3155653696 3222363287 3254267874 3290924208 3318077048 3350929296 3390649184 3496606971 3515305404 3565167892 3600466584 3619720416 3641022528 3808247521 3845952942 3868586436 3889274064 3965985584 4005252768 4132353693 4213859683 4303516272 4326529728 4339023832 4387898944 4467905728 4596937836 4662142628 4687073872 4733480544 4761337152 4800622112 4977115572 4980015989 5085973776 5127937256 5158115248 5185698752 5347751838 5509804924 5627034816 5738021696 5948978376 6125680704 6129250448 6444726574 6508535748 6581848416 6636154096 6701858592 6781298368 6993213942 7030610808 7050913727 7130335784 7200933168 7239440832 7616495042 7691905884 7737172872 7778548128 7931971168 8010505536 8264707386 8427719366 8607032544 8678047664 9193875672 9324285256 9374147744 9466961088 9601244224 9667089861 9954231144 9960031978 10171947552 10255874512 10316230496 10695503676 11019609848 11424742563 11897956752 12258500896 12641579049 12889453148 13017071496 13163696832 13272308192 13403717184 13986427884 14061221616 14101827454 14260671568 14401866336 14940047967 15151963541 15232990084 15383811768 15474345744 15557096256 15863942336 16529414772 16855438732 17214065088 17356095328 18387751344 18648570512 18748295488 19334179722 19908462288 19920063956 20343895104 20511749024 20632460992 21152741181 21391007352 22039219696 22849485126 23795913504 24517001792 25283158098 25778906296 26034142992 26544616384 27972855768 28122443232 28203654908 28521343136 28803732672 29880095934 30303927082 30465980168 30767623536 30948691488 33058829544 33710877464 34712190656 36775502688 37297141024 38668359444 39816924576 39840127912 41023498048 41890722731 42305482362 42782014704 44078439392 45455890623 45698970252 47591827008 50566316196 51557812592 52068285984 54780175879 55945711536 56244886464 56407309816 57042686272 59760191868 60607854164 60931960336 61535247072 61897382976 64740207857 66117659088 67421754928 73551005376 74594282048 77336718888 79633849152 79680255824 83781445462 84610964724 85564029408 88156878784 90911781246 91397940504 101132632392 103115625184 104136571968 109560351758 111891423072 112814619632 119520383736 121215708328 121863920672 123070494144 125672168193 129480415714 132235318176 134843509856 154673437776 159360511648 164340527637 167562890924 169221929448 171128058816 181823562492 182795881008 194220623571 202265264784 206231250368 219120703516 223782846144 225629239264 239040767472 242431416656 243727841344 251344336386 258960831428 264470636352 269687019712 309346875552 318721023296 328681055274 335125781848 338443858896 363647124984 365591762016 388441247142 404530529568 438241407032 451258478528 478081534944 484862833312 502688672772 517921662856 618693751104 657362110548 670251563696 676887717792 712142286427 727294249968 731183524032 776882494284 809061059136 876482814064 956163069888 969725666624 1005377345544 1035843325712 1314724221096 1340503127392 1353775435584 1424284572854 1454588499936 1553764988568 1752965628128 2010754691088 2071686651424 2136426859281 2629448442192 2681006254784 2848569145708 2909176999872 3107529977136 3505931256256 4021509382176 4143373302848 4272853718562 5258896884384 5697138291416 6215059954272 8043018764352 8545707437124 10517793768768 11394276582832 12430119908544 17091414874248 22788553165664 34182829748496 45577106331328 68365659496992 136731318993984
- Sum of all divisors σ(n): 466942938547104
- Sum of proper divisors (its aliquot sum) s(n): 330211619553120
- 136731318993984 is an abundant number, because the sum of its proper divisors (330211619553120) is greater than itself. Its abundance is 193480300559136
Bases of 136731318993984
- Binary: 111110001011011001111011011001011000100010000002
- Hexadecimal: 0x7C5B3DB2C440
- Base-36: 1CGTI1145C
Squares and roots of 136731318993984
- 136731318993984 squared (1367313189939842) is 18695453593834609769828192256
- 136731318993984 cubed (1367313189939843) is 2556254029075824612858386118173179259387904
-
The
square root of 136731318993984 is 11693216.7941069151 -
The
cube root of 136731318993984 is 51517.6448783979
Scales and comparisons
How big is 136731318993984?- 136,731,318,993,984 seconds is equal to 4,347,633 years, 2 days, 6 hours, 46 minutes, 24 seconds.
-
To count from 1 to 136,731,318,993,984 would take you about ten million, eight hundred sixty-nine thousand and eighty-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 136731318993984 cubic inches would be around 4293.1 feet tall.
Recreational maths with 136731318993984
- 136731318993984 backwards is 489399813137631
- The number of decimal digits it has is: 15
- The sum of 136731318993984's digits is 75
- More coming soon!
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"Number 136731318993984 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 136731318993984 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/136731318993984/
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The information we have on file for 136731318993984 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!
Keywords: Divisors of 136731318993984, math, Factors of 136731318993984, curriculum, school, college, exams, university, Prime factorization of 136731318993984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six trillion, seven hundred thirty-one billion, three hundred eighteen million, nine hundred ninety-three thousand, nine hundred eighty-four.