137609446493782016

Names of 137609446493782016

• Cardinal: 137609446493782016 can be written as One hundred thirty-seven quadrillion, six hundred nine trillion, four hundred forty-six billion, four hundred ninety-three million, seven hundred eighty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.37609446493782016 × 10¹⁷

Factors of 137609446493782016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 41
• Sum of prime factors: 73

Divisors of 137609446493782016

• Number of divisors d(n): 666
• Complete list of divisors:
  1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 128 136 164 169 208 221 256 272 289 328 338 416 442 512 533 544 578 656 676 697 832 884 1024 1066 1088 1156 1312 1352 1394 1664 1768 2048 2132 2176 2312 2624 2704 2788 2873 3328 3536 3757 4096 4264 4352 4624 5248 5408 5576 5746 6656 6929 7072 7514 8192 8528 8704 9061 9248 10496 10816 11152 11492 11849 13312 13858 14144 15028 16384 17056 17408 18122 18496 20992 21632 22304 22984 23698 26624 27716 28288 30056 32768 34112 34816 36244 36992 41984 43264 44608 45968 47396 48841 53248 55432 56576 60112 65536 68224 69632 72488 73984 83968 86528 89216 91936 94792 97682 106496 110864 113152 117793 120224 131072 136448 139264 144976 147968 154037 167936 173056 178432 183872 189584 195364 212992 221728 226304 235586 240448 262144 272896 278528 289952 295936 308074 335872 346112 356864 367744 379168 390728 425984 443456 452608 471172 480896 524288 545792 557056 579904 591872 616148 671744 692224 713728 735488 758336 781456 851968 886912 905216 942344 961792 1048576 1091584 1114112 1159808 1183744 1232296 1343488 1384448 1427456 1470976 1516672 1562912 1703936 1773824 1810432 1884688 1923584 2002481 2097152 2183168 2228224 2319616 2367488 2464592 2686976 2768896 2854912 2941952 3033344 3125824 3407872 3547648 3620864 3769376 3847168 4004962 4194304 4366336 4456448 4639232 4734976 4929184 5373952 5537792 5709824 5883904 6066688 6251648 6815744 7095296 7241728 7538752 7694336 8009924 8388608 8732672 8912896 9278464 9469952 9858368 10747904 11075584 11419648 11767808 12133376 12503296 13631488 14190592 14483456 15077504 15388672 16019848 16777216 17465344 17825792 18556928 18939904 19716736 21495808 22151168 22839296 23535616 24266752 25006592 27262976 28381184 28966912 30155008 30777344 32039696 33554432 34930688 35651584 37113856 37879808 39433472 42991616 44302336 45678592 47071232 48533504 50013184 54525952 56762368 57933824 60310016 61554688 64079392 67108864 69861376 71303168 74227712 75759616 78866944 85983232 88604672 91357184 94142464 97067008 100026368 109051904 113524736 115867648 120620032 123109376 128158784 134217728 139722752 142606336 148455424 151519232 157733888 171966464 177209344 182714368 188284928 194134016 200052736 218103808 227049472 231735296 241240064 246218752 256317568 268435456 279445504 285212672 296910848 303038464 315467776 343932928 354418688 365428736 376569856 388268032 400105472 436207616 454098944 463470592 482480128 492437504 512635136 536870912 558891008 570425344 593821696 606076928 630935552 687865856 708837376 730857472 753139712 776536064 800210944 872415232 908197888 926941184 964960256 984875008 1025270272 1073741824 1117782016 1140850688 1187643392 1212153856 1261871104 1375731712 1417674752 1461714944 1506279424 1553072128 1600421888 1744830464 1816395776 1853882368 1929920512 1969750016 2050540544 2147483648 2235564032 2281701376 2375286784 2424307712 2523742208 2751463424 2835349504 2923429888 3012558848 3106144256 3200843776 3489660928 3632791552 3707764736 3859841024 3939500032 4101081088 4294967296 4471128064 4563402752 4750573568 4848615424 5047484416 5502926848 5670699008 5846859776 6025117696 6212288512 6401687552 6979321856 7265583104 7415529472 7719682048 7879000064 8202162176 8589934592 8942256128 9126805504 9501147136 9697230848 10094968832 11005853696 11341398016 11693719552 12050235392 12424577024 12803375104 13958643712 14531166208 14831058944 15439364096 15758000128 16404324352 17179869184 17884512256 18253611008 19002294272 19394461696 20189937664 22011707392 22682796032 23387439104 24100470784 24849154048 25606750208 27917287424 29062332416 29662117888 30878728192 31516000256 32808648704 34359738368 35769024512 36507222016 38004588544 38788923392 40379875328 44023414784 45365592064 46774878208 48200941568 49698308096 51213500416 55834574848 58124664832 59324235776 61757456384 63032000512 65617297408 68719476736 71538049024 73014444032 76009177088 77577846784 80759750656 88046829568 90731184128 93549756416 96401883136 99396616192 102427000832 111669149696 116249329664 118648471552 123514912768 126064001024 131234594816 143076098048 146028888064 152018354176 155155693568 161519501312 176093659136 181462368256 187099512832 192803766272 198793232384 204854001664 223338299392 232498659328 237296943104 247029825536 252128002048 262469189632 286152196096 292057776128 304036708352 310311387136 323039002624 352187318272 362924736512 374199025664 385607532544 397586464768 409708003328 446676598784 464997318656 474593886208 494059651072 504256004096 524938379264 572304392192 584115552256 608073416704 620622774272 646078005248 704374636544 725849473024 748398051328 771215065088 795172929536 819416006656 893353197568 929994637312 949187772416 988119302144 1008512008192 1049876758528 1144608784384 1168231104512 1216146833408 1241245548544 1292156010496 1408749273088 1451698946048 1496796102656 1542430130176 1590345859072 1638832013312 1859989274624 1898375544832 1976238604288 2017024016384 2099753517056 2289217568768 2432293666816 2482491097088 2584312020992 2817498546176 2903397892096 2993592205312 3084860260352 3180691718144 3277664026624 3719978549248 3796751089664 3952477208576 4034048032768 4199507034112 4578435137536 4864587333632 4964982194176 5168624041984 5806795784192 5987184410624 6169720520704 6361383436288 6555328053248 7439957098496 7593502179328 7904954417152 8068096065536 8399014068224 9156870275072 9729174667264 9929964388352 10337248083968 11613591568384 11974368821248 12339441041408 12722766872576 13110656106496 14879914196992 15187004358656 15809908834304 16136192131072 16798028136448 18313740550144 19458349334528 19859928776704 20674496167936 23948737642496 24678882082816 25445533745152 26221312212992 29759828393984 31619817668608 32272384262144 33596056272896 36627481100288 38916698669056 41348992335872 47897475284992 49357764165632 50891067490304 52442624425984 59519656787968 63239635337216 64544768524288 67192112545792 77833397338112 82697984671744 98715528331264 101782134980608 104885248851968 119039313575936 126479270674432 129089537048576 134384225091584 155666794676224 165395969343488 197431056662528 203564269961216 209770497703936 238078627151872 252958541348864 258179074097152 268768450183168 311333589352448 330791938686976 407128539922432 419540995407872 476157254303744 505917082697728 537536900366336 622667178704896 661583877373952 814257079844864 839081990815744 1011834165395456 1075073800732672 1323167754747904 1678163981631488 2023668330790912 2150147601465344 2646335509495808 3356327963262976 4047336661581824 4300295202930688 5292671018991616 8094673323163648 8600590405861376 10585342037983232 17201180811722752 34402361623445504 68804723246891008 137609446493782016
• Sum of all divisors σ(n): 324301229488078542
• Sum of proper divisors (its aliquot sum) s(n): 186691782994296526
• 137609446493782016 is an abundant number, because the sum of its proper divisors (186691782994296526) is greater than itself. Its abundance is 49082336500514510

Bases of 137609446493782016

• Binary: 111101000111000110001000000000000000000000000000000000000₂
• Hexadecimal: 0x1E8E31000000000
• Base-36: 11MYH6ZZS0E8

Squares and roots of 137609446493782016

• 137609446493782016 squared (137609446493782016²) is 18936359764325055576866951325024256
• 137609446493782016 cubed (137609446493782016³) is 2605821985775895361981582409602959993766524376580096
• The square root of 137609446493782016 is 370957472.6215688677
• The cube root of 137609446493782016 is 516276.9661842265

Scales and comparisons

• 137,609,446,493,782,016 seconds is equal to 4,375,554,744 years, 27 weeks, 6 days, 8 hours, 46 minutes, 56 seconds.
• To count from 1 to 137,609,446,493,782,016 would take you about thirteen billion, one hundred twenty-six million, six hundred sixty-four thousand, two hundred thirty-three 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 137609446493782016 cubic inches would be around 43023.1 feet tall.

Recreational maths with 137609446493782016

• 137609446493782016 backwards is 610287394644906731
• The number of decimal digits it has is: 18
• The sum of 137609446493782016's digits is 80
• More coming soon!