42688123594752

Names of 42688123594752

• Cardinal: 42688123594752 can be written as Forty-two trillion, six hundred eighty-eight billion, one hundred twenty-three million, five hundred ninety-four thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 4.2688123594752 × 10¹³

Factors of 42688123594752

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 193

Divisors of 42688123594752

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 31 32 48 58 61 62 64 67 87 93 96 116 122 124 128 134 174 183 186 192 201 232 244 248 256 268 348 366 372 384 402 464 488 496 512 536 696 732 744 768 804 899 928 961 976 992 1024 1072 1392 1464 1488 1536 1608 1769 1798 1856 1891 1922 1943 1952 1984 2048 2077 2144 2697 2784 2883 2928 2976 3072 3216 3538 3596 3712 3721 3782 3844 3886 3904 3968 4087 4154 4288 5307 5394 5568 5673 5766 5829 5856 5952 6144 6231 6432 7076 7192 7424 7442 7564 7688 7772 7808 7936 8174 8308 8576 10614 10788 11136 11163 11346 11532 11658 11712 11904 12261 12462 12864 14152 14384 14848 14884 15128 15376 15544 15616 15872 16348 16616 17152 21228 21576 22272 22326 22692 23064 23316 23424 23808 24522 24924 25728 27869 28304 28768 29696 29768 30256 30752 31088 31232 31744 32696 33232 34304 42456 43152 44544 44652 45384 46128 46632 46848 47616 49044 49848 51456 54839 55738 56608 57536 58621 59392 59536 60233 60512 61504 62176 62464 63488 64387 65392 66464 68608 83607 84912 86304 89088 89304 90768 92256 93264 93696 95232 98088 99696 102912 107909 109678 111476 113216 115072 115351 117242 118523 119072 120466 121024 123008 124352 124928 126697 128774 130784 132928 137216 164517 167214 169824 172608 175863 178176 178608 180699 181536 184512 186528 187392 190464 193161 196176 199392 205824 215818 219356 222952 226432 230144 230702 234484 237046 238144 240932 242048 246016 248704 249307 253394 257548 261568 265856 323727 329034 334428 339648 345216 346053 351726 355569 357216 361398 363072 369024 373056 374784 380091 386322 392352 398784 411648 431636 438712 445904 452864 460288 461404 468968 474092 476288 481864 484096 492032 497408 498614 506788 515096 523136 531712 647454 658068 668856 679296 690432 692106 703452 711138 714432 722796 726144 738048 746112 747921 760182 772644 784704 797568 863272 877424 891808 905728 920576 922808 937936 948184 952576 963728 968192 984064 994816 997228 1013576 1030192 1046272 1063424 1294908 1316136 1337712 1358592 1380864 1384212 1406904 1422276 1428864 1445592 1452288 1476096 1492224 1495842 1520364 1545288 1569408 1595136 1700009 1726544 1754848 1783616 1811456 1841152 1845616 1867223 1875872 1896368 1905152 1927456 1936384 1968128 1989632 1994456 2027152 2060384 2092544 2126848 2589816 2632272 2675424 2717184 2761728 2768424 2813808 2844552 2857728 2891184 2904576 2952192 2984448 2991684 3040728 3090576 3138816 3190272 3345179 3400018 3453088 3509696 3567232 3575881 3622912 3674213 3691232 3734446 3751744 3792736 3810304 3854912 3872768 3927607 3979264 3988912 4054304 4120768 4185088 4253696 5100027 5179632 5264544 5350848 5434368 5523456 5536848 5601669 5627616 5689104 5715456 5782368 5809152 5904384 5968896 5983368 6081456 6181152 6277632 6380544 6690358 6800036 6906176 7019392 7134464 7151762 7229903 7348426 7382464 7468892 7503488 7585472 7620608 7709824 7728517 7855214 7977824 8108608 8241536 8370176 10035537 10200054 10359264 10529088 10701696 10727643 10868736 11022639 11073696 11203338 11255232 11378208 11430912 11564736 11618304 11782821 11937792 11966736 12162912 12362304 12555264 12761088 13380716 13600072 13812352 14038784 14268928 14303524 14459806 14696852 14764928 14937784 15006976 15170944 15419648 15457034 15710428 15955648 16217216 16483072 20071074 20400108 20718528 21058176 21403392 21455286 21689709 22045278 22147392 22406676 22510464 22756416 22861824 23129472 23185551 23565642 23933472 24325824 24724608 25110528 26761432 27200144 27624704 28077568 28537856 28607048 28919612 29393704 29529856 29875568 30013952 30341888 30839296 30914068 31420856 31911296 32434432 32966144 40142148 40800216 41437056 42116352 42806784 42910572 43379418 44090556 44294784 44813352 45020928 45512832 46258944 46371102 47131284 47866944 48651648 49449216 53522864 54400288 55249408 56155136 57075712 57214096 57839224 58787408 59059712 59751136 60027904 60683776 61678592 61828136 62841712 63822592 64868864 65932288 80284296 81600432 82874112 84232704 85613568 85821144 86758836 88181112 88589568 89626704 90041856 91025664 92517888 92742204 94262568 95733888 97303296 98898432 103700549 107045728 108800576 110498816 112310272 113900603 114428192 115678448 117574816 118119424 119502272 120055808 121367552 123357184 123656272 125683424 127645184 129737728 131864576 160568592 163200864 165748224 168465408 171227136 171642288 173517672 176362224 177179136 179253408 180083712 182051328 185035776 185484408 188525136 191467776 194606592 197796864 207401098 214091456 217601152 220997632 224126993 227801206 228856384 231356896 235149632 236238848 239004544 239584027 242735104 247312544 251366848 255290368 259475456 311101647 321137184 326401728 331496448 336930816 341701809 343284576 347035344 352724448 354358272 358506816 360167424 364102656 370071552 370968816 377050272 382935552 389213184 395593728 414802196 428182912 435202304 448253986 455602412 457712768 462713792 470299264 478009088 479168054 494625088 502733696 510580736 622203294 642274368 652803456 662992896 672380979 683403618 686569152 694070688 705448896 708716544 717013632 718752081 728205312 741937632 754100544 765871104 778426368 829604392 856365824 870404608 896507972 911204824 915425536 925427584 940598528 956018176 958336108 989250176 1005467392 1244406588 1284548736 1305606912 1344761958 1366807236 1373138304 1388141376 1410897792 1434027264 1437504162 1483875264 1508201088 1531742208 1659208784 1712731648 1740809216 1793015944 1822409648 1830851072 1850855168 1881197056 1912036352 1916672216 1978500352 2010934784 2488813176 2569097472 2611213824 2689523916 2733614472 2746276608 2776282752 2821795584 2868054528 2875008324 2967750528 3016402176 3318417568 3425463296 3481618432 3586031888 3644819296 3661702144 3701710336 3762394112 3824072704 3833344432 3957000704 4021869568 4977626352 5138194944 5222427648 5379047832 5467228944 5492553216 5552565504 5643591168 5736109056 5750016648 5935501056 6032804352 6636835136 6850926592 6947936783 7172063776 7289638592 7323404288 7403420672 7524788224 7666688864 7914001408 8043739136 9955252704 10276389888 10444855296 10758095664 10934457888 10985106432 11105131008 11287182336 11472218112 11500033296 11871002112 12065608704 13273670272 13895873566 14344127552 14579277184 14806841344 15333377728 15828002816 19910505408 20552779776 20843810349 21516191328 21868915776 21970212864 22210262016 22574364672 23000066592 23742004224 24131217408 26547340544 27791747132 28688255104 29158554368 30666755456 39821010816 41687620698 43032382656 43737831552 44420524032 46000133184 47484008448 53094681088 55583494264 57376510208 58317108736 61333510912 79642021632 83375241396 86064765312 87475663104 92000266368 106189362176 111166988528 114753020416 116634217472 122667021824 159284043264 166750482792 172129530624 174951326208 184000532736 212378724352 222333977056 229506040832 233268434944 245334043648 318568086528 333500965584 344259061248 349902652416 368001065472 444667954112 459012081664 490668087296 637136173056 667001931168 688518122496 699805304832 736002130944 889335908224 1334003862336 1377036244992 1472004261888 1778671816448 2668007724672 3557343632896 5336015449344 7114687265792 10672030898688 14229374531584 21344061797376 42688123594752
• Sum of all divisors σ(n): 125524833688800
• Sum of proper divisors (its aliquot sum) s(n): 82836710094048
• 42688123594752 is an abundant number, because the sum of its proper divisors (82836710094048) is greater than itself. Its abundance is 40148586499296

Bases of 42688123594752

• Binary: 1001101101001100011010011100010110100000000000₂
• Hexadecimal: 0x26D31A716800
• Base-36: F4QNIM39C

Squares and roots of 42688123594752

• 42688123594752 squared (42688123594752²) is 1822275896040822414721941504
• 42688123594752 cubed (42688123594752³) is 77789538673928073982878462522261145387008
• The square root of 42688123594752 is 6533614.8948918011
• The cube root of 42688123594752 is 34949.0752181795

Scales and comparisons

• 42,688,123,594,752 seconds is equal to 1,357,350 years, 14 weeks, 6 days, 13 hours, 39 minutes, 12 seconds.
• To count from 1 to 42,688,123,594,752 would take you about three million, three hundred ninety-three thousand, three 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 42688123594752 cubic inches would be around 2912.4 feet tall.

Recreational maths with 42688123594752

• 42688123594752 backwards is 25749532188624
• The number of decimal digits it has is: 14
• The sum of 42688123594752's digits is 66
• More coming soon!