137585171568768

Names of 137585171568768

• Cardinal: 137585171568768 can be written as One hundred thirty-seven trillion, five hundred eighty-five billion, one hundred seventy-one million, five hundred sixty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37585171568768 × 10¹⁴

Factors of 137585171568768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 178564

Divisors of 137585171568768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 31 32 33 42 44 48 56 58 62 64 66 77 84 87 88 93 96 112 116 124 128 132 154 168 174 176 186 192 203 217 224 231 232 248 264 308 319 336 341 348 352 372 384 406 434 448 462 464 496 528 609 616 638 651 672 682 696 704 744 812 841 868 896 899 924 928 957 992 1023 1056 1218 1232 1276 1302 1344 1364 1392 1408 1488 1624 1682 1736 1798 1848 1856 1914 1984 2046 2112 2233 2387 2436 2464 2523 2552 2604 2688 2697 2728 2784 2976 3248 3364 3472 3596 3696 3712 3828 3968 4092 4224 4466 4774 4872 4928 5046 5104 5208 5394 5456 5568 5887 5952 6293 6496 6699 6728 6944 7161 7192 7392 7656 8184 8932 9251 9548 9744 9856 9889 10092 10208 10416 10788 10912 11136 11774 11904 12586 12992 13398 13456 13888 14322 14384 14784 15312 16368 17661 17864 18502 18879 19096 19488 19778 20184 20416 20832 21576 21824 23548 25172 25984 26071 26796 26912 27753 27776 28644 28768 29568 29667 30624 32736 35322 35728 37004 37758 38192 38976 39556 40368 40832 41664 43152 43648 47096 50344 52142 53592 53824 55506 57288 57536 59334 61248 64757 65472 69223 70644 71456 74008 75516 76384 77952 78213 79112 80736 83328 86304 94192 100688 104284 107184 107648 111012 114576 115072 118668 122496 129514 130944 138446 141288 142912 148016 151032 152768 156426 158224 161472 172608 178481 182497 188384 194271 201376 207669 208568 214368 222024 229152 237336 259028 276892 282576 285824 286781 296032 302064 305536 312852 316448 322944 345216 356962 364994 376768 388542 402752 415338 417136 428736 444048 458304 474672 518056 535443 547491 553784 565152 573562 592064 604128 625704 632896 713924 729988 753536 777084 805504 830676 834272 857472 860343 888096 916608 949344 1036112 1070886 1094982 1107568 1130304 1147124 1184128 1208256 1249367 1251408 1265792 1427848 1459976 1554168 1661352 1668544 1720686 1776192 1898688 1963291 2007467 2072224 2141772 2189964 2215136 2260608 2294248 2416512 2498734 2502816 2855696 2919952 3108336 3322704 3337088 3441372 3552384 3748101 3797376 3926582 4014934 4144448 4283544 4379928 4430272 4588496 4997468 5005632 5175949 5532911 5711392 5839904 5889873 6022401 6216672 6645408 6882744 7496202 7853164 8029868 8288896 8567088 8759856 8860544 9176992 9994936 10011264 10351898 11065822 11422784 11679808 11779746 12044802 12433344 13290816 13743037 13765488 14992404 15527847 15706328 16059736 16598733 17134176 17519712 18353984 19989872 20703796 22131644 22845568 23359616 23559492 24089604 24866688 26581632 27486074 27530976 29984808 31055694 31412656 32119472 33197466 34268352 35039424 36231643 36707968 38730377 39979744 41229111 41407592 44263288 47118984 48179208 54972148 55061952 56935439 59969616 60862021 62111388 62825312 64238944 66394932 68536704 70078848 72463286 77460754 79959488 82458222 82815184 88526576 94237968 96358416 108694929 109944296 110123904 113870878 116191131 119939232 121724042 124222776 125650624 128477888 132789864 144926572 150102521 154921508 159918976 160454419 164916444 165630368 170806317 177053152 182586063 188475936 192716832 217389858 219888592 227741756 232382262 239878464 243448084 248445552 251301248 256955776 265579728 289853144 300205042 309843016 320908838 329832888 331260736 341612634 354106304 365172126 376951872 385433664 398548073 426034147 434779716 439777184 450307563 455483512 464764524 479756928 481363257 486896168 496891104 531159456 579706288 600410084 619686032 641817676 659665776 662521472 683225268 708212608 730344252 753903744 770867328 797096146 852068294 869559432 879554368 900615126 910967024 929529048 962726514 973792336 993782208 1050717647 1062318912 1123180933 1159412576 1195644219 1200820168 1239372064 1278102441 1283635352 1319331552 1366450536 1460688504 1594192292 1651127731 1704136588 1739118864 1759108736 1764998609 1801230252 1821934048 1859058096 1925453028 1947584672 1987564416 2101435294 2124637824 2246361866 2318825152 2391288438 2401640336 2478744128 2556204882 2567270704 2638663104 2732901072 2921377008 3152152941 3188384584 3302255462 3369542799 3408273176 3478237728 3529997218 3602460504 3643868096 3718116192 3850906056 3895169344 4202870588 4492723732 4637650304 4653178151 4782576876 4803280672 4953383193 4957488256 5112409764 5134541408 5277326208 5294995827 5465802144 5842754016 6304305882 6376769168 6604510924 6739085598 6816546352 6956475456 7059994436 7204921008 7287736192 7436232384 7701812112 7790338688 8405741176 8985447464 9306356302 9565153752 9606561344 9906766386 10224819528 10269082816 10589991654 10931604288 11557894117 11685508032 12354990263 12608611764 12753538336 13209021848 13478171196 13633092704 13912950912 13959534453 14119988872 14409842016 14872464768 15403624224 16811482352 17970894928 18612712604 19130307504 19213122688 19813532772 20449639056 20538165632 21179983308 21863208576 23115788234 23371016064 24709980526 25217223528 25507076672 26418043696 26956342392 27266185408 27919068906 28239977744 28819684032 30807248448 32572247057 33622964704 34673682351 35941789856 37064970789 37225425208 38260615008 39627065544 40899278112 42359966616 46231576468 49419961052 50434447056 51014153344 51184959661 52836087392 53912684784 54532370816 55838137812 56479955488 57639368064 61614496896 65144494114 67245929408 69347364702 71883579712 74129941578 74450850416 76521230016 79254131088 81798556224 84719933232 92463152936 97716741171 98839922104 100868894112 102369919322 105672174784 107825369568 111676275624 112959910976 130288988228 134491858816 138694729404 143767159424 148259883156 148901700832 153042460032 153554878983 158508262176 163597112448 169439866464 184926305872 195433482342 197679844208 201737788224 204739838644 211344349568 215650739136 223352551248 225919821952 260577976456 277389458808 296519766312 297803401664 307109757966 317016524352 338879732928 358294717627 369852611744 390866964684 395359688416 403475576448 409479677288 431301478272 446705102496 521155952912 554778917616 593039532624 595606803328 614219515932 634033048704 677759465856 716589435254 739705223488 781733929368 790719376832 818959354576 893410204992 1042311905824 1074884152881 1109557835232 1186079065248 1228439031864 1433178870508 1479410446976 1563467858736 1581438753664 1637918709152 1786820409984 2084623811648 2149768305762 2219115670464 2372158130496 2456878063728 2866357741016 3126935717472 3275837418304 4169247623296 4299536611524 4438231340928 4744316260992 4913756127456 5732715482032 6253871434944 6551674836608 8599073223048 9827512254912 11465430964064 12507742869888 17198146446096 19655024509824 22930861928128 34396292892192 45861723856256 68792585784384 137585171568768
• Sum of all divisors σ(n): 487117757767680
• Sum of proper divisors (its aliquot sum) s(n): 349532586198912
• 137585171568768 is an abundant number, because the sum of its proper divisors (349532586198912) is greater than itself. Its abundance is 211947414630144

Bases of 137585171568768

• Binary: 11111010010001000001011010001110001100010000000₂
• Hexadecimal: 0x7D220B471880
• Base-36: 1CRPR6T3EO

Squares and roots of 137585171568768

• 137585171568768 squared (137585171568768²) is 18929679435607326402153037824
• 137585171568768 cubed (137585171568768³) is 2604443192889813405124548300284286921080832
• The square root of 137585171568768 is 11729670.5652276527
• The cube root of 137585171568768 is 51624.6606539675

Scales and comparisons

• 137,585,171,568,768 seconds is equal to 4,374,782 years, 45 weeks, 4 days, 5 hours, 32 minutes, 48 seconds.
• To count from 1 to 137,585,171,568,768 would take you about ten million, nine hundred thirty-six thousand, nine hundred fifty-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 137585171568768 cubic inches would be around 4302.1 feet tall.

Recreational maths with 137585171568768

• 137585171568768 backwards is 867865171585731
• The number of decimal digits it has is: 15
• The sum of 137585171568768's digits is 78
• More coming soon!