12977785683214968

Names of 12977785683214968

• Cardinal: 12977785683214968 can be written as Twelve quadrillion, nine hundred seventy-seven trillion, seven hundred eighty-five billion, six hundred eighty-three million, two hundred fourteen thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.2977785683214968 × 10¹⁶

Factors of 12977785683214968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 204

Divisors of 12977785683214968

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 181 231 242 264 308 362 363 462 484 543 616 724 726 847 924 968 1086 1267 1331 1448 1452 1694 1848 1991 2172 2534 2541 2662 2904 3388 3801 3982 3993 4344 5068 5082 5324 5973 6776 7602 7964 7986 9317 10136 10164 10648 11946 13937 14641 15204 15928 15972 18634 20328 21901 23892 27874 27951 29282 30408 31944 32761 37268 41811 43802 43923 47784 55748 55902 58564 65522 65703 74536 83622 87604 87846 98283 102487 111496 111804 117128 131044 131406 153307 161051 167244 175208 175692 196566 204974 223608 229327 240911 262088 262812 306614 307461 322102 334488 351384 360371 393132 409948 458654 459921 481822 483153 525624 613228 614922 644204 687981 720742 722733 786264 819896 917308 919842 963644 966306 1081113 1127357 1226456 1229844 1288408 1375962 1441484 1445466 1686377 1771561 1834616 1839684 1927288 1932612 2162226 2254714 2459688 2522597 2650021 2751924 2882968 2890932 3372754 3382071 3543122 3679368 3865224 3964081 4324452 4509428 5045194 5059131 5300042 5314683 5503848 5781864 6745508 6764142 7086244 7567791 7928162 7950063 8648904 9018856 10090388 10118262 10600084 10629366 11892243 12400927 13491016 13528284 14172488 15135582 15856324 15900126 18550147 19487171 20180776 20236524 21200168 21258732 23784486 24801854 27056568 27748567 29150231 30271164 31712648 31800252 37100294 37202781 38974342 40473048 42517464 43604891 47568972 49603708 55497134 55650441 58300462 58461513 60542328 63600504 74200588 74405562 77948684 83245701 87209782 87450693 95137944 99207416 110994268 111300882 116600924 116923026 130814673 136410197 148401176 148811124 155897368 166491402 174419564 174901386 204051617 214358881 221988536 222601764 233201848 233846052 261629346 272820394 297622248 305234237 320652541 332982804 348839128 349802772 408103234 409230591 428717762 445203528 467692104 479653801 523258692 545640788 610468474 612154851 641305082 643076643 665965608 699605544 816206468 818461182 857435524 915702711 959307602 961957623 1046517384 1091281576 1220936948 1224309702 1282610164 1286153286 1438961403 1500512167 1632412936 1636922364 1714871048 1831405422 1918615204 1923915246 2244567787 2357947691 2441873896 2448619404 2565220328 2572306572 2877922806 3001024334 3273844728 3357576607 3527177951 3662810844 3837230408 3847830492 4489135574 4501536501 4715895382 4897238808 5144613144 5276191811 5755845612 6002048668 6715153214 6733703361 7054355902 7073843073 7325621688 7695660984 8978271148 9003073002 9431790764 10072729821 10552383622 10581533853 11511691224 12004097336 13430306428 13467406722 14108711804 14147686146 15828575433 16505633837 17956542296 18006146004 18863581528 20145459642 21104767244 21163067706 24690245657 26860612856 26934813444 28217423608 28295372292 31657150866 33011267674 36012292008 36933342677 38798957461 40290919284 42209534488 42326135412 49380491314 49516901511 53869626888 56590744584 58038109921 63314301732 66022535348 73866685354 74070736971 77597914922 80581838568 84652270824 98760982628 99033803022 110800028031 116076219842 116396872383 126628603464 132045070696 147733370708 148141473942 155195829844 174114329763 197521965256 198067606044 221600056062 232152439684 232793744766 271592702227 295466741416 296282947884 310391659688 348228659526 396135212088 406266769447 426788532071 443200112124 464304879368 465587489532 543185404454 592565895768 638419209131 696457319052 812533538894 814778106681 853577064142 886400224248 931174979064 1086370808908 1218800308341 1276838418262 1280365596213 1392914638104 1625067077788 1629556213362 1707154128284 1915257627393 2172741617816 2437600616682 2553676836524 2560731192426 2987519724497 3250134155576 3259112426724 3414308256568 3830515254786 4468934463917 4875201233364 5107353673048 5121462384852 5975039448994 6518224853448 7022611300441 7661030509572 8937868927834 8962559173491 9750402466728 10242924769704 11950078897988 13406803391751 14045222600882 15322061019144 17875737855668 17925118346982 21067833901323 23900157795976 26813606783502 28090445201764 35751475711336 35850236693964 42135667802646 49158279103087 53627213567004 56180890403528 71700473387928 77248724304851 84271335605292 98316558206174 107254427134008 147474837309261 154497448609702 168542671210584 196633116412348 231746172914553 294949674618522 308994897219404 393266232824696 463492345829106 540741070133957 589899349237044 617989794438808 926984691658212 1081482140267914 1179798698474088 1622223210401871 1853969383316424 2162964280535828 3244446420803742 4325928561071656 6488892841607484 12977785683214968
• Sum of all divisors σ(n): 41013915772694400
• Sum of proper divisors (its aliquot sum) s(n): 28036130089479432
• 12977785683214968 is an abundant number, because the sum of its proper divisors (28036130089479432) is greater than itself. Its abundance is 15058344406264464

Bases of 12977785683214968

• Binary: 101110000110110011101000110001100111101000001001111000₂
• Hexadecimal: 0x2E1B3A319E8278
• Base-36: 3JS8OFRAF7C

Squares and roots of 12977785683214968

• 12977785683214968 squared (12977785683214968²) is 168422921239459393754452499241024
• 12977785683214968 cubed (12977785683214968³) is 2185756575986698273459397369110336778316236447232
• The square root of 12977785683214968 is 113920084.6348657169
• The cube root of 12977785683214968 is 234999.4608903579

Scales and comparisons

• 12,977,785,683,214,968 seconds is equal to 412,653,441 years, 41 weeks, 3 days, 23 hours, 42 minutes, 48 seconds.
• To count from 1 to 12,977,785,683,214,968 would take you about one billion, two hundred thirty-seven million, nine hundred sixty thousand, three hundred twenty-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 12977785683214968 cubic inches would be around 19583.3 feet tall.

Recreational maths with 12977785683214968

• 12977785683214968 backwards is 86941238658777921
• The number of decimal digits it has is: 17
• The sum of 12977785683214968's digits is 93
• More coming soon!