12342125840388960

Names of 12342125840388960

• Cardinal: 12342125840388960 can be written as Twelve quadrillion, three hundred forty-two trillion, one hundred twenty-five billion, eight hundred forty million, three hundred eighty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.234212584038896 × 10¹⁶

Factors of 12342125840388960

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2039419

Divisors of 12342125840388960

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 96 105 110 112 120 132 140 154 160 165 168 173 176 210 220 224 231 240 264 280 308 330 336 346 352 385 420 440 462 480 519 528 560 616 660 672 692 770 840 865 880 924 947 1038 1056 1120 1155 1211 1232 1320 1384 1540 1680 1730 1760 1848 1894 1903 2076 2310 2422 2464 2595 2640 2768 2841 3080 3360 3460 3633 3696 3788 3806 4152 4620 4735 4844 5190 5280 5536 5682 5709 6055 6160 6629 6920 7266 7392 7576 7612 8304 9240 9470 9515 9688 10380 10417 11364 11418 12110 12320 13258 13321 13840 14205 14532 15152 15224 16608 18165 18480 18940 19030 19376 19887 20760 20834 22728 22836 24220 26516 26642 27680 28410 28545 29064 30304 30448 31251 33145 36330 36960 37880 38060 38752 39774 39963 41520 41668 45456 45672 48440 52085 53032 53284 56820 57090 58128 60896 62502 66290 66605 72660 72919 75760 76120 79548 79926 83040 83336 90912 91344 96880 99435 104170 106064 106568 113640 114180 116256 125004 132580 133210 145320 145838 151520 152240 156255 159096 159852 163831 166672 182688 193760 198870 199815 208340 212128 213136 218757 227280 228360 250008 265160 266420 290640 291676 304480 312510 318192 319704 327662 333344 364595 397740 399630 416680 426272 437514 454560 456720 491493 500016 530320 532840 581280 583352 625020 636384 639408 655324 729190 795480 799260 819155 833360 875028 913440 982986 1000032 1060640 1065680 1093785 1146817 1166704 1250040 1278816 1310648 1458380 1590960 1598520 1638310 1666720 1750056 1802141 1965972 2038271 2131360 2187570 2293634 2333408 2457465 2500080 2621296 2916760 3181920 3197040 3276620 3440451 3500112 3604282 3931944 4076542 4375140 4587268 4914930 5000160 5242592 5406423 5734085 5833520 6114813 6394080 6553240 6880902 7000224 7208564 7863888 8153084 8750280 9010705 9174536 9829860 10191355 10812846 11468170 11667040 12229626 12614987 13106480 13761804 14267897 14417128 15727776 16306168 17202255 17500560 18021410 18349072 19659720 20382710 21625692 22420981 22936340 24459252 25229974 26212960 27032115 27523608 28535794 28834256 30574065 32612336 34404510 35001120 36042820 36698144 37844961 39319440 40765420 42803691 43251384 44841962 45872680 48918504 50459948 54064230 55047216 57071588 57668512 61148130 63074935 65224672 67262943 68809020 71339485 72085640 75689922 78638880 81530840 85607382 86502768 89683924 91745360 97837008 100919896 108128460 110094432 112104905 114143176 122296260 126149870 134525886 137618040 142678970 144171280 151379844 156946867 163061680 171214764 173005536 179367848 183490720 189224805 195674016 201839792 214018455 216256920 224209810 228286352 244592520 252299740 269051772 275236080 285357940 288342560 302759688 313893734 326123360 336314715 342429528 352620883 358735696 378449610 403679584 428036910 432513840 448419620 456572704 470840601 489185040 504599480 538103544 550472160 570715880 605519376 627787468 672629430 684859056 705241766 717471392 756899220 784734335 856073820 865027680 896839240 941681202 978370080 1009198960 1057862649 1076207088 1141431760 1211038752 1255574936 1345258860 1369718112 1410483532 1513798440 1569468670 1712147640 1763104415 1793678480 1883362404 1930242637 2018397920 2115725298 2152414176 2282863520 2354203005 2468346181 2511149872 2690517720 2820967064 3027596880 3138937340 3424295280 3526208830 3587356960 3766724808 3860485274 3878829713 4231450596 4708406010 4936692362 5022299744 5289313245 5381035440 5641934128 5790727911 6055193760 6277874680 6848590560 7052417660 7405038543 7533449616 7720970548 7757659426 8462901192 9416812020 9651213185 9873384724 10578626490 10762070880 11283868256 11581455822 11636489139 12341730905 12555749360 13511698459 14104835320 14810077086 15066899232 15441941096 15515318852 16925802384 18833624040 19302426370 19394148565 19746769448 21157252980 21232669007 23162911644 23272978278 24683461810 25111498720 27023396918 27151807991 28209670640 28953639555 29620154172 30883882192 31030637704 33851604768 37025192715 37667248080 38604852740 38788297130 39493538896 40535095377 42314505960 42465338014 46325823288 46545956556 49366923620 54046793836 54303615982 56419341280 57907279110 58182445695 59240308344 61767764384 62061275408 63698007021 67558492295 74050385430 75334496160 77209705480 77576594260 78987077792 81070190754 81455423973 84629011920 84930676028 92651646576 93091913112 98733847240 106163345035 108093587672 108607231964 115814558220 116364891390 118480616688 124122550816 127396014042 135116984590 135759039955 148100770860 148628683049 154419410960 155153188520 162140381508 162910847946 169258023840 169861352056 185303293152 186183826224 197467694480 202675476885 212326690070 216187175344 217214463928 231629116440 232729782780 236961233376 254792028084 270233969180 271518079910 296201541720 297257366098 308838821920 310306377040 318490035105 324280763016 325821695892 333931976201 339722704112 372367652448 394935388960 405350953770 407277119865 424653380140 432374350688 434428927856 445886049147 463258232880 465459565560 509584056168 540467938360 543036159820 592403083440 594514732196 620612754080 636980070210 648561526032 651643391784 667863952402 679445408224 743143415245 810701907540 814554239730 849306760280 868857855712 891772098294 926516465760 930919131120 1001795928603 1019168112336 1080935876720 1086072319640 1184806166880 1189029464392 1273960140420 1297123052064 1303286783568 1335727904804 1486286830490 1621403815080 1629108479460 1669659881005 1698613520560 1783544196588 1861838262240 2003591857206 2038336224672 2161871753440 2172144639280 2229430245735 2337523833407 2378058928784 2547920280840 2606573567136 2671455809608 2972573660980 3242807630160 3258216958920 3339319762010 3397227041120 3567088393176 3673251738211 4007183714412 4344289278560 4458860491470 4675047666814 4756117857568 5008979643015 5095840561680 5342911619216 5945147321960 6485615260320 6516433917840 6678639524020 7012571500221 7134176786352 7346503476422 8014367428824 8917720982940 9350095333628 10017959286030 10191681123360 10685823238432 11019755214633 11687619167035 11890294643920 13032867835680 13357279048040 14025143000442 14268353572704 14693006952844 16028734857648 17835441965880 18366258691055 18700190667256 20035918572060 22039510429266 23375238334070 23780589287840 25712762167477 26714558096080 28050286000884 29386013905688 32057469715296 35062857501105 35670883931760 36732517382110 37400381334512 40071837144120 44079020858532 46750476668140 51425524334954 53429116192160 55098776073165 56100572001768 58772027811376 70125715002210 71341767863520 73465034764220 74800762669024 77138286502431 80143674288240 88158041717064 93500953336280 102851048669908 110197552146330 112201144003536 117544055622752 128563810837385 140251430004420 146930069528440 154276573004862 160287348576480 176316083434128 187001906672560 205702097339816 220395104292660 224402288007072 257127621674770 280502860008840 293860139056880 308553146009724 352632166868256 374003813345120 385691432512155 411404194679632 440790208585320 514255243349540 561005720017680 587720278113760 617106292019448 771382865024310 822808389359264 881580417170640 1028510486699080 1122011440035360 1234212584038896 1542765730048620 1763160834341280 2057020973398160 2468425168077792 3085531460097240 4114041946796320 6171062920194480 12342125840388960
• Sum of all divisors σ(n): 48802576217407488
• Sum of proper divisors (its aliquot sum) s(n): 36460450377018528
• 12342125840388960 is an abundant number, because the sum of its proper divisors (36460450377018528) is greater than itself. Its abundance is 24118324536629568

Bases of 12342125840388960

• Binary: 101011110110010001100100011010011111010101001101100000₂
• Hexadecimal: 0x2BD9191A7D5360
• Base-36: 3DIX2C54DPC

Squares and roots of 12342125840388960

• 12342125840388960 squared (12342125840388960²) is 152328070259996892133604089881600
• 12342125840388960 cubed (12342125840388960³) is 1880052212172492686930176161221664547344347136000
• The square root of 12342125840388960 is 111095120.6866843455
• The cube root of 12342125840388960 is 231098.2499695307

Scales and comparisons

• 12,342,125,840,388,960 seconds is equal to 392,441,425 years, 1 week, 1 day, 4 hours, 56 minutes.
• To count from 1 to 12,342,125,840,388,960 would take you about one billion, one hundred seventy-seven million, three hundred twenty-four thousand, two hundred seventy-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 12342125840388960 cubic inches would be around 19258.2 feet tall.

Recreational maths with 12342125840388960

• 12342125840388960 backwards is 06988304852124321
• 12342125840388960 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12342125840388960's digits is 66
• More coming soon!