137997919675392
137,997,919,675,392 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137997919675392 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1584 divisors.
137997919675392 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 137997919675392:
210 × 3 × 72 × 192 × 23 × 41 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 19 × 23 × 41 × 2693)See below for interesting mathematical facts about the number 137997919675392 from the Numbermatics database.
Names of 137997919675392
- Cardinal: 137997919675392 can be written as One hundred thirty-seven trillion, nine hundred ninety-seven billion, nine hundred nineteen million, six hundred seventy-five thousand, three hundred ninety-two.
Scientific notation
- Scientific notation: 1.37997919675392 × 1014
Factors of 137997919675392
Divisors of 137997919675392
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 32 38 41 42 46 48 49 56 57 64 69 76 82 84 92 96 98 112 114 123 128 133 138 147 152 161 164 168 184 192 196 224 228 246 256 266 276 287 294 304 322 328 336 361 368 384 392 399 437 448 456 483 492 512 532 552 574 588 608 644 656 672 722 736 768 779 784 798 861 874 896 912 931 943 966 984 1024 1064 1083 1104 1127 1148 1176 1216 1288 1311 1312 1344 1444 1472 1536 1558 1568 1596 1722 1748 1792 1824 1862 1886 1932 1968 2009 2128 2166 2208 2254 2296 2337 2352 2432 2527 2576 2622 2624 2688 2693 2793 2829 2888 2944 3059 3072 3116 3136 3192 3381 3444 3496 3584 3648 3724 3772 3864 3936 4018 4256 4332 4416 4508 4592 4674 4704 4864 5054 5152 5244 5248 5376 5386 5453 5586 5658 5776 5888 6027 6118 6232 6272 6384 6601 6762 6888 6992 7168 7296 7448 7544 7581 7728 7872 8036 8079 8303 8512 8664 8832 9016 9177 9184 9348 9408 9728 10108 10304 10488 10496 10752 10772 10906 11172 11316 11552 11776 12054 12236 12464 12544 12768 13202 13524 13776 13984 14592 14801 14896 15088 15162 15456 15744 16072 16158 16359 16606 17024 17328 17664 17689 17917 18032 18354 18368 18696 18816 18851 19456 19803 20216 20608 20976 20992 21413 21504 21544 21812 22344 22632 23104 23552 24108 24472 24909 24928 25088 25536 26404 27048 27552 27968 29184 29602 29792 30176 30324 30912 31488 32144 32316 32718 33212 34048 34656 35328 35378 35834 36064 36708 36736 37392 37632 37702 38171 39606 40432 41216 41952 41984 42826 43088 43624 44403 44688 45264 46207 46208 48216 48944 49818 49856 50176 51072 51167 52808 53067 53751 54096 55104 55936 56553 58121 58368 59204 59584 60352 60648 61824 61939 62976 64239 64288 64632 65436 66424 68096 69312 70656 70756 71668 72128 73416 73472 74784 75264 75404 76342 79212 80864 82432 83904 85652 86176 87248 88806 89376 90528 92414 92416 96432 97888 99636 99712 102144 102334 103607 105616 106134 107502 108192 110208 110413 111872 113106 114513 116242 118408 119168 120704 121296 123648 123878 125419 125952 128478 128576 129264 130872 131957 132848 136192 138621 138624 141512 143336 144256 146832 146944 149568 150528 150808 152684 153501 158424 161728 164864 167808 171304 172352 174363 174496 177612 178752 181056 184828 184832 185817 192864 195776 199272 199424 204288 204668 207214 211232 212268 215004 216384 220416 220826 223744 226212 229026 232484 236816 238336 241408 242592 247296 247756 250838 256956 257152 258528 261744 263914 265696 277242 277248 283024 286672 288512 293664 293888 299136 301616 305368 307002 310821 316848 323456 331239 335616 340423 342608 344704 348726 348992 355224 357504 358169 362112 369656 369664 371634 376257 385728 391552 395871 398544 398848 406847 408576 409336 414428 422464 424536 430008 432768 433573 440832 441652 447488 452424 458052 464968 473632 476672 482816 485184 494592 495512 501676 513912 514304 517056 523488 527828 531392 554484 554496 566048 573344 577024 587328 598272 603232 610736 614004 621642 633696 646912 662478 671232 680846 685216 689408 697452 697984 710448 715008 716338 724224 725249 739312 743268 752514 771456 772891 783104 791742 797088 797696 813694 818672 828856 844928 849072 860016 865536 867146 877933 881664 883304 904848 916104 929936 947264 953344 965632 970368 972173 991024 1003352 1021269 1027824 1028608 1034112 1046976 1055656 1062784 1074507 1108968 1108992 1132096 1146688 1154048 1174656 1176841 1196544 1206464 1220541 1221472 1228008 1243284 1267392 1293824 1300719 1324956 1342464 1361692 1370432 1378816 1394904 1395968 1420896 1430016 1432676 1448448 1450498 1478624 1486536 1505028 1542912 1545782 1566208 1583484 1594176 1627388 1637344 1657712 1689856 1698144 1720032 1731072 1734292 1755866 1766608 1809696 1832208 1859872 1894528 1940736 1944346 1982048 2006704 2042538 2055648 2057216 2068224 2093952 2097847 2111312 2125568 2149014 2175747 2217936 2264192 2293376 2318673 2349312 2353682 2382961 2393088 2412928 2441082 2442944 2456016 2486568 2507183 2534784 2539499 2587648 2601438 2633799 2649912 2723384 2740864 2757632 2789808 2791936 2841792 2860032 2865352 2896896 2900996 2916519 2957248 2973072 3010056 3035011 3085824 3091564 3132416 3166968 3188352 3254776 3274688 3315424 3379712 3396288 3440064 3462144 3468584 3511732 3530523 3533216 3619392 3664416 3719744 3789056 3881472 3888692 3964096 4013408 4085076 4111296 4136448 4187904 4195694 4222624 4251136 4298028 4351494 4435872 4528384 4586752 4637346 4698624 4707364 4765922 4825856 4882164 4885888 4912032 4973136 5014366 5069568 5078998 5202876 5267598 5299824 5410237 5446768 5481728 5579616 5583872 5683584 5730704 5801992 5833038 5914496 5946144 6020112 6070022 6171648 6183128 6293541 6333936 6376704 6509552 6549376 6630848 6759424 6792576 6805211 6880128 6937168 7023464 7061046 7066432 7148883 7238784 7328832 7439488 7521549 7578112 7618497 7762944 7777384 7928192 8026816 8170152 8222592 8237887 8272896 8375808 8391388 8445248 8502272 8596056 8702988 8871744 9056768 9105033 9173504 9274692 9397248 9414728 9531844 9651712 9764328 9771776 9824064 9946272 10028732 10139136 10157996 10405752 10535196 10599648 10820474 10893536 10963456 11159232 11367168 11461408 11603984 11666076 11828992 11892288 12040224 12140044 12366256 12587082 12667872 12753408 13019104 13098752 13261696 13585152 13610422 13760256 13874336 14046928 14122092 14132864 14297766 14477568 14657664 14684929 14878976 15043098 15156224 15236994 15554768 15856384 16053632 16230711 16340304 16445184 16475774 16680727 16751616 16782776 16890496 17192112 17405976 17743488 17776493 18113536 18210066 18347008 18549384 18829456 19063688 19303424 19528656 19543552 19648128 19892544 20057464 20278272 20315992 20415633 20811504 21070392 21199296 21640948 21787072 21926912 22318464 22359979 22734336 22922816 23207968 23332152 23657984 23784576 24080448 24280088 24713661 24732512 25174164 25335744 25506816 26038208 26197504 26523392 27170304 27220844 27520512 27748672 28093856 28244184 28265728 28595532 28955136 29315328 29369858 29757952 30086196 30473988 31109536 31712768 32107264 32461422 32680608 32890368 32951548 33361454 33565552 33780992 34384224 34811952 35486976 35552986 36420132 37098768 37658912 38127376 39057312 39087104 39296256 39785088 39859093 40114928 40631984 40831266 41623008 42140784 42398592 43281896 43574144 44054787 44636928 44719958 45468672 45845632 46415936 46664304 47315968 47569152 47636477 48160896 48250481 48560176 49427322 49465024 50042181 50348328 50671488 52076416 52395008 53046784 53329479 54340608 54441688 55041024 55497344 56187712 56488368 56531456 57191064 57665209 57910272 58630656 58739716 59515904 60172392 60947976 62219072 63425536 64214528 64922844 65361216 65780736 65903096 66722908 67079937 67131104 67561984 68768448 69623904 70973952 71105972 72840264 74197536 75317824 76254752 78114624 78592512 79570176 79718186 80229856 81263968 81662532 83246016 84281568 84797184 86563792 87148288 88109574 89273856 89439916 91691264 92831872 93328608 95138304 95272954 96321792 96500962 97120352 98854644 98930048 100084362 100696656 101342976 102794503 104152832 106093568 106658958 108883376 110994688 112375424 112976736 113062912 114382128 115330418 117261312 117479432 119577279 120344784 121895952 124435451 124438144 128429056 129845688 130722432 131806192 133445816 134159874 134262208 135123968 137536896 139247808 141947904 142211944 142909431 144751443 145680528 148395072 150635648 152509504 156229248 156519853 157185024 159140352 159436372 160459712 162527936 163325064 166492032 168563136 169594368 172995627 173127584 174296576 176219148 178547712 178879832 183382528 185663744 186657216 190276608 190545908 192643584 193001924 194240704 197709288 197860096 200168724 201393312 202685952 205589006 208305664 213317916 217766752 221989376 224750848 225953472 228764256 230660836 234958864 239154558 240689568 243791904 248870902 248876288 259691376 261444864 263612384 266891632 268319748 268524416 275073792 278495616 279013651 284423888 285818862 289502886 291361056 296790144 301271296 305019008 308383509 312458496 313039706 318280704 318872744 320919424 325055872 326650128 332984064 337126272 337753367 339188736 345991254 346255168 348593152 352438296 357759664 366765056 371327488 373306353 373314432 381091816 385287168 386003848 388481408 395418576 395720192 400337448 402786624 405371904 411178012 416611328 426635832 435533504 443978752 449501696 451906944 457528512 461321672 469559559 469917728 478309116 481379136 487583808 497741804 497752576 519382752 522889728 527224768 533783264 536639496 537048832 550147584 556991232 558027302 568847776 571637724 579005772 582722112 593580288 602542592 610038016 616767018 624916992 626079412 637745488 641838848 650111744 653300256 665968128 674252544 675506734 691982508 692510336 704876592 715519328 742654976 746612706 746628864 762183632 772007696 776962816 790837152 791440384 800674896 805573248 822356024 837040953 853271664 871067008 899003392 903813888 915057024 916759139 922643344 939119118 939835456 956618232 962758272 975167616 995483608 995505152 1013260101 1038765504 1045779456 1054449536 1067566528 1073278992 1074097664 1095638971 1100295168 1113982464 1116054604 1137695552 1143275448 1158011544 1165444224 1187160576 1205085184 1220076032 1233534036 1249833984 1252158824 1275490976 1283677696 1300223488 1306600512 1331936256 1348505088 1351013468 1383965016 1385020672 1409753184 1431038656 1493225412 1493257728 1524367264 1544015392 1553925632 1581674304 1601349792 1611146496 1644712048 1674081906 1706543328 1742134016 1807627776 1830114048 1833518278 1845286688 1878238236 1879670912 1913236464 1925516544 1950335232 1953095557 1990967216 2026520202 2077531008 2108899072 2135133056 2146557984 2148195328 2191277942 2227964928 2232109208 2275391104 2286550896 2316023088 2330888448 2364273569 2374321152 2440152064 2467068072 2504317648 2550981952 2567355392 2600446976 2613201024 2697010176 2702026936 2750277417 2767930032 2770041344 2819506368 2862077312 2986450824 2986515456 3048734528 3088030784 3107851264 3163348608 3202699584 3222292992 3286916913 3289424096 3348163812 3413086656 3484268032 3615255552 3660228096 3667036556 3690573376 3756476472 3759341824 3826472928 3851033088 3900670464 3906191114 3981934432 4053040404 4155062016 4217798144 4270266112 4293115968 4382555884 4464218416 4550782208 4573101792 4632046176 4661776896 4728547138 4934136144 5008635296 5101963904 5226402048 5404053872 5500554834 5535860064 5540082688 5639012736 5724154624 5859286671 5972901648 6097469056 6176061568 6326697216 6405399168 6417313973 6444585984 6573833826 6578848192 6696327624 6826173312 6968536064 7092820707 7320456192 7334073112 7381146752 7512952944 7518683648 7652945856 7702066176 7801340928 7812382228 7963868864 8106080808 8310124032 8435596288 8540532224 8586231936 8765111768 8928436832 9101564416 9146203584 9264092352 9323553792 9457094276 9868272288 10017270592 10203927808 10452804096 10808107744 11001109668 11071720128 11278025472 11448309248 11718573342 11945803296 12194938112 12352123136 12653394432 12810798336 12834627946 13147667652 13157696384 13392655248 13652346624 14185641414 14668146224 14762293504 15025905888 15037367296 15305891712 15624764456 15927737728 16212161616 16620248064 17081064448 17172463872 17530223536 17856873664 18203128832 18292407168 18528184704 18914188552 19251941919 19736544576 20034541184 20407855616 20905608192 21616215488 22002219336 22143440256 22556050944 22896618496 23437146684 23891606592 24389876224 24704246272 25306788864 25621596672 25669255892 26295335304 26315392768 26785310496 27304693248 28371282828 29336292448 29524587008 30051811776 30611783424 31249528912 31855475456 32424323232 34344927744 35060447072 35713747328 36584814336 37056369408 37828377104 38503883838 39473089152 40069082368 40815711232 43232430976 44004438672 44286880512 44921197811 45112101888 46874293368 47783213184 48779752448 49408492544 51243193344 51338511784 52590670608 52630785536 53570620992 54609386496 56742565656 58672584896 59049174016 60103623552 61223566848 62499057824 63710950912 64848646464 68689855488 70120894144 71427494656 73169628672 74112738816 75656754208 77007767676 78946178304 80138164736 86464861952 88008877344 88573761024 89842395622 93748586736 95566426368 102677023568 105181341216 105261571072 107141241984 113485131312 117345169792 120207247104 122447133696 124998115648 127421901824 129697292928 134763593433 140241788288 142854989312 146339257344 148225477632 151313508416 154015535352 157892356608 160276329472 172929723904 176017754688 177147522048 179684791244 187497173472 191132852736 205354047136 210362682432 214282483968 226970262624 234690339584 240414494208 249996231296 259394585856 269527186866 280483576576 285709978624 302627016832 308031070704 315784713216 345859447808 352035509376 359369582488 374994346944 382265705472 410708094272 420725364864 428564967936 453940525248 469380679168 480828988416 499992462592 518789171712 539054373732 560967153152 605254033664 616062141408 704071018752 718739164976 749988693888 821416188544 841450729728 857129935872 907881050496 938761358336 999984925184 1037578343424 1078108747464 1121934306304 1210508067328 1232124282816 1408142037504 1437478329952 1499977387776 1642832377088 1682901459456 1815762100992 1999969850368 2156217494928 2421016134656 2464248565632 2816284075008 2874956659904 2999954775552 3285664754176 3365802918912 3631524201984 4312434989856 4928497131264 5749913319808 5999909551104 6571329508352 7263048403968 8624869979712 9856994262528 11499826639616 17249739959424 19713988525056 22999653279232 34499479918848 45999306558464 68998959837696 137997919675392
- Sum of all divisors σ(n): 482876187115392
- Sum of proper divisors (its aliquot sum) s(n): 344878267440000
- 137997919675392 is an abundant number, because the sum of its proper divisors (344878267440000) is greater than itself. Its abundance is 206880347764608
Bases of 137997919675392
- Binary: 111110110000010001001001111101101100100000000002
- Hexadecimal: 0x7D8224FB6400
- Base-36: 1CWZDADGQO
Squares and roots of 137997919675392
- 137997919675392 squared (1379979196753922) is 19043425834735942474650353664
- 137997919675392 cubed (1379979196753923) is 2627953148686175437379436718085076877836288
-
The
square root of 137997919675392 is 11747251.5796415971 -
The
cube root of 137997919675392 is 51676.2328511259
Scales and comparisons
How big is 137997919675392?- 137,997,919,675,392 seconds is equal to 4,387,906 years, 51 weeks, 3 days, 9 hours, 23 minutes, 12 seconds.
-
To count from 1 to 137,997,919,675,392 would take you about ten million, nine hundred sixty-nine thousand, seven hundred sixty-seven 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 137997919675392 cubic inches would be around 4306.4 feet tall.
Recreational maths with 137997919675392
- 137997919675392 backwards is 293576919799731
- The number of decimal digits it has is: 15
- The sum of 137997919675392's digits is 87
- More coming soon!
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"Number 137997919675392 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 137997919675392 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137997919675392/
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The information we have on file for 137997919675392 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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