31728429145608192

Names of 31728429145608192

• Cardinal: 31728429145608192 can be written as Thirty-one quadrillion, seven hundred twenty-eight trillion, four hundred twenty-nine billion, one hundred forty-five million, six hundred eight thousand, one hundred ninety-two.

Scientific notation

• Scientific notation: 3.1728429145608192 × 10¹⁶

Factors of 31728429145608192

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 291

Divisors of 31728429145608192

• Number of divisors d(n): 1040
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 256 269 272 288 289 306 324 384 408 432 459 512 538 544 576 578 612 648 768 807 816 864 867 918 1024 1076 1088 1152 1156 1224 1296 1377 1536 1614 1632 1728 1734 1836 2048 2152 2176 2304 2312 2421 2448 2592 2601 2754 3072 3228 3264 3456 3468 3672 4096 4304 4352 4573 4608 4624 4842 4896 4913 5184 5202 5508 6144 6456 6528 6912 6936 7263 7344 7803 8608 8704 9146 9216 9248 9684 9792 9826 10368 10404 11016 12288 12912 13056 13719 13824 13872 14526 14688 14739 15606 17216 17408 18292 18432 18496 19368 19584 19652 20736 20808 21789 22032 23409 25824 26112 27438 27648 27744 29052 29376 29478 31212 34432 34816 36584 36864 36992 38736 39168 39304 41157 41472 41616 43578 44064 44217 46818 51648 52224 54876 55296 55488 58104 58752 58956 62424 68864 69632 72361 73168 73984 77472 77741 78336 78608 82314 82944 83232 87156 88128 88434 93636 103296 104448 109752 110592 110976 116208 117504 117912 123471 124848 132651 137728 144722 146336 147968 154944 155482 156672 157216 164628 165888 166464 174312 176256 176868 187272 206592 208896 217083 219504 221952 232416 233223 235008 235824 246942 249696 265302 275456 289444 292672 295936 309888 310964 313344 314432 329256 331776 332928 348624 352512 353736 370413 374544 397953 413184 434166 439008 443904 464832 466446 470016 471648 493884 499392 530604 550912 578888 585344 591872 619776 621928 626688 628864 651249 658512 665856 697248 699669 705024 707472 740826 749088 795906 826368 868332 878016 887808 929664 932892 940032 943296 987768 998784 1061208 1101824 1157776 1170688 1183744 1230137 1239552 1243856 1257728 1302498 1317024 1321597 1331712 1394496 1399338 1410048 1414944 1481652 1498176 1591812 1652736 1736664 1756032 1775616 1859328 1865784 1880064 1886592 1953747 1975536 1997568 2099007 2122416 2315552 2341376 2460274 2479104 2487712 2515456 2604996 2634048 2643194 2663424 2788992 2798676 2820096 2829888 2963304 2996352 3183624 3305472 3473328 3512064 3551232 3690411 3718656 3731568 3773184 3907494 3951072 3964791 3995136 4198014 4244832 4631104 4682752 4920548 4958208 4975424 5030912 5209992 5268096 5286388 5326848 5577984 5597352 5640192 5659776 5861241 5926608 5992704 6297021 6367248 6946656 7024128 7380822 7437312 7463136 7546368 7814988 7902144 7929582 7990272 8396028 8489664 9262208 9365504 9841096 9916416 9950848 10061824 10419984 10536192 10572776 10653696 11071233 11155968 11194704 11319552 11722482 11853216 11894373 11985408 12594042 12734496 13893312 14048256 14761644 14874624 14926272 15092736 15629976 15804288 15859164 15980544 16792056 16979328 18524416 18731008 19465109 19682192 19901696 20123648 20839968 20912329 21072384 21145552 22142466 22311936 22389408 22639104 23444964 23706432 23788746 23970816 25188084 25468992 27786624 28096512 29523288 29749248 29852544 30185472 31259952 31608576 31718328 31961088 33213699 33584112 33958656 35683119 37048832 38930218 39364384 39803392 41679936 41824658 42144768 42291104 44284932 44623872 44778816 45278208 46889928 47412864 47577492 47941632 50376168 50937984 55573248 56193024 58395327 59046576 59705088 60370944 62519904 62736987 63217152 63436656 66427398 67168224 67917312 71366238 74097664 77860436 78728768 79606784 83359872 83649316 84289536 84582208 88569864 89247744 89557632 90556416 93779856 94825728 95154984 95883264 99641097 100752336 101875968 107049357 111146496 116790654 118093152 119410176 125039808 125473974 126434304 126873312 132854796 134336448 135834624 142732476 148195328 155720872 157457536 159213568 166719744 167298632 168579072 169164416 175185981 177139728 179115264 181112832 187559712 188210961 189651456 190309968 199282194 201504672 203751936 214098714 222292992 233581308 236186304 238820352 250079616 250947948 252868608 253746624 265709592 268672896 271669248 285464952 296390656 311441744 314915072 318427136 330906853 333439488 334597264 338328832 350371962 354279456 355509593 358230528 375119424 376421922 379302912 380619936 398564388 403009344 407503872 428197428 444585984 467162616 472372608 477640704 500159232 501895896 505737216 507493248 525557943 531419184 537345792 543338496 564632883 570929904 622883488 629830144 661813706 666878976 669194528 676657664 700743924 708558912 711019186 716461056 750238848 752843844 758605824 761239872 797128776 806018688 815007744 856394856 889171968 934325232 944745216 955281408 992720559 1000318464 1003791792 1014986496 1051115886 1062838368 1066528779 1074691584 1129265766 1141859808 1245766976 1259660288 1323627412 1333757952 1338389056 1353315328 1401487848 1417117824 1422038372 1432922112 1500477696 1505687688 1517211648 1522479744 1576673829 1594257552 1612037376 1630015488 1693898649 1712789712 1868650464 1889490432 1985441118 2000636928 2007583584 2029972992 2102231772 2125676736 2133057558 2149383168 2258531532 2283719616 2491533952 2519320576 2647254824 2667515904 2676778112 2706630656 2802975696 2834235648 2844076744 2865844224 2978161677 3000955392 3011375376 3044959488 3153347658 3188515104 3199586337 3224074752 3387797298 3425579424 3737300928 3778980864 3970882236 4001273856 4015167168 4059945984 4204463544 4251353472 4266115116 4298766336 4517063064 4567439232 4983067904 5038641152 5294509648 5353556224 5413261312 5605951392 5625416501 5668471296 5688153488 5956323354 6001910784 6022750752 6089918976 6306695316 6377030208 6399172674 6448149504 6775594596 6851158848 7474601856 7557961728 7941764472 8002547712 8030334336 8119891968 8408927088 8502706944 8532230232 8597532672 8934485031 9034126128 9134878464 9598759011 9966135808 10589019296 10707112448 11211902784 11250833002 11336942592 11376306976 11912646708 12003821568 12045501504 12179837952 12613390632 12754060416 12798345348 12896299008 13551189192 13702317696 14949203712 15115923456 15883528944 16060668672 16239783936 16817854176 16876249503 17005413888 17064460464 17868970062 18068252256 18269756928 19197518022 19932271616 21178038592 21414224896 22423805568 22501666004 22673885184 22752613952 23825293416 24007643136 24091003008 24359675904 25226781264 25508120832 25596690696 25792598016 26803455093 27102378384 27404635392 28796277033 29898407424 31767057888 32121337344 33635708352 33752499006 34010827776 34128920928 35737940124 36136504512 36539513856 38395036044 39864543232 42356077184 42828449792 44847611136 45003332008 45347770368 45505227904 47650586832 48182006016 48719351808 50453562528 50628748509 51016241664 51193381392 53606910186 54204756768 54809270784 57592554066 59796814848 63534115776 64242674688 67271416704 67504998012 68021655552 68257841856 71475880248 72273009024 73079027712 76790072088 79729086464 84712154368 85656899584 89695222272 90006664016 91010455808 95301173664 95632080517 96364012032 100907125056 101257497018 102032483328 102386762784 107213820372 108409513536 109618541568 115185108132 119593629696 127068231552 128485349376 134542833408 135009996024 136043311104 136515683712 142951760496 144546018048 146158055424 151886245527 153580144176 169424308736 179390444544 180013328032 182020911616 190602347328 191264161034 192728024064 201814250112 202514994036 204064966656 204773525568 214427640744 216819027072 219237083136 230370216264 239187259392 254136463104 256970698752 269085666816 270019992048 273031367424 285903520992 286896241551 289092036096 303772491054 307160288352 338848617472 358780889088 360026656064 364041823232 381204694656 382528322068 385456048128 403628500224 405029988072 408129933312 409547051136 428855281488 433638054144 438474166272 455658736581 460740432528 508272926208 538171333632 540039984096 546062734848 571807041984 573792483102 578184072192 607544982108 614320576704 677697234944 717561778176 720053312128 728083646464 762409389312 765056644136 770912096256 807257000448 810059976144 819094102272 857710562976 860688724653 867276108288 911317473162 921480865056 1016545852416 1076342667264 1080079968192 1092125469696 1143614083968 1147584966204 1156368144384 1215089964216 1228641153408 1355394469888 1440106624256 1456167292928 1524818778624 1530113288272 1614514000896 1620119952288 1638188204544 1715421125952 1721377449306 1734552216576 1822634946324 1842961730112 2033091704832 2152685334528 2160159936384 2184250939392 2287228167936 2295169932408 2312736288768 2430179928432 2457282306816 2582066173959 2880213248512 3049637557248 3060226576544 3229028001792 3240239904576 3276376409088 3430842251904 3442754898612 3469104433152 3645269892648 3685923460224 4066183409664 4320319872768 4368501878784 4574456335872 4590339864816 4860359856864 4914564613632 5164132347918 5760426497024 6099275114496 6120453153088 6458056003584 6480479809152 6552752818176 6861684503808 6885509797224 6938208866304 7290539785296 7371846920448 7746198521877 8640639745536 9148912671744 9180679729632 9720719713728 9829129227264 10328264695836 11520852994048 12198550228992 12240906306176 12960959618304 13105505636352 13723369007616 13771019594448 14581079570592 14743693840896 15492397043754 17281279491072 18297825343488 18361359459264 19441439427456 19658258454528 20656529391672 23041705988096 24481812612352 25921919236608 27446738015232 27542039188896 29162159141184 29487387681792 30984794087508 34562558982144 36595650686976 36722718918528 38882878854912 39316516909056 41313058783344 48963625224704 51843838473216 54893476030464 55084078377792 58324318282368 58974775363584 61969588175016 69125117964288 73445437837056 77765757709824 82626117566688 97927250449408 103687676946432 109786952060928 110168156755584 116648636564736 117949550727168 123939176350032 146890875674112 155531515419648 165252235133376 195854500898816 207375353892864 220336313511168 233297273129472 247878352700064 293781751348224 311063030839296 330504470266752 391709001797632 440672627022336 466594546258944 495756705400128 587563502696448 622126061678592 661008940533504 881345254044672 933189092517888 991513410800256 1175127005392896 1322017881067008 1762690508089344 1866378185035776 1983026821600512 2644035762134016 3525381016178688 3966053643201024 5288071524268032 7932107286402048 10576143048536064 15864214572804096 31728429145608192
• Sum of all divisors σ(n): 101080440332110800
• Sum of proper divisors (its aliquot sum) s(n): 69352011186502608
• 31728429145608192 is an abundant number, because the sum of its proper divisors (69352011186502608) is greater than itself. Its abundance is 37623582040894416

Bases of 31728429145608192

• Binary: 1110000101110001101011010010100100000010101000000000000₂
• Hexadecimal: 0x70B8D694815000
• Base-36: 8OESF4LJ400

Squares and roots of 31728429145608192

• 31728429145608192 squared (31728429145608192²) is 1006693216047879384582481577508864
• 31728429145608192 cubed (31728429145608192³) is 31940794376739580741686063998925805669029551013888
• The square root of 31728429145608192 is 178124757.2506646027
• The cube root of 31728429145608192 is 316579.5496807573

Scales and comparisons

• 31,728,429,145,608,192 seconds is equal to 1,008,865,904 years, 18 weeks, 3 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 31,728,429,145,608,192 would take you about three billion, twenty-six million, five hundred ninety-seven thousand, seven hundred thirteen 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 31728429145608192 cubic inches would be around 26381.6 feet tall.

Recreational maths with 31728429145608192

• 31728429145608192 backwards is 29180654192482713
• 31728429145608192 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31728429145608192's digits is 72
• More coming soon!