137424294228672

Names of 137424294228672

• Cardinal: 137424294228672 can be written as One hundred thirty-seven trillion, four hundred twenty-four billion, two hundred ninety-four million, two hundred twenty-eight thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.37424294228672 × 10¹⁴

Factors of 137424294228672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 874

Divisors of 137424294228672

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 88 93 96 99 108 121 124 132 144 176 186 192 198 216 242 248 264 279 288 297 341 352 363 372 396 432 484 496 528 558 576 594 682 704 726 744 792 827 837 864 961 968 992 1023 1056 1089 1116 1188 1364 1452 1488 1584 1654 1674 1728 1922 1936 1984 2046 2112 2178 2232 2376 2481 2728 2883 2904 2976 3069 3168 3267 3308 3348 3751 3844 3872 4092 4356 4464 4752 4962 5456 5766 5808 5952 6138 6336 6534 6616 6696 7443 7502 7688 7744 8184 8649 8712 8928 9097 9207 9504 9924 10571 10912 11253 11532 11616 12276 13068 13232 13392 14886 15004 15376 16368 17298 17424 17856 18194 18414 19008 19848 21142 21824 22329 22506 23064 23232 24552 25637 25947 26136 26464 26784 27291 29772 30008 30752 31713 32736 33759 34596 34848 36388 36828 39696 42284 44658 45012 46128 49104 51274 51894 52272 52928 53568 54582 59544 60016 61504 63426 65472 67518 69192 69696 72776 73656 76911 79392 81873 84568 89316 90024 92256 95139 98208 100067 101277 102548 103788 104544 109164 116281 119088 120032 126852 135036 138384 145552 147312 153822 158784 163746 169136 178632 180048 184512 190278 196416 200134 202554 205096 207576 209088 218328 230733 232562 238176 240064 245619 253704 270072 276768 282007 285417 291104 294624 300201 307644 327492 338272 348843 357264 360096 380556 400268 405108 410192 415152 436656 461466 465124 476352 491238 507408 540144 553536 564014 570834 582208 589248 600402 615288 654984 676544 683929 692199 697686 714528 720192 761112 794747 800536 810216 820384 830304 846021 873312 900603 922932 930248 982476 1014816 1046529 1080288 1128028 1141668 1200804 1230576 1309968 1367858 1384398 1395372 1429056 1522224 1589494 1601072 1620432 1640768 1660608 1692042 1746624 1801206 1845864 1860496 1964952 2029632 2051787 2093058 2160576 2256056 2283336 2384241 2401608 2461152 2538063 2619936 2701809 2735716 2768796 2790744 3044448 3102077 3139587 3178988 3202144 3240864 3384084 3602412 3691728 3720992 3929904 4103574 4186116 4512112 4566672 4768482 4803216 4922304 5076126 5239872 5403618 5471432 5537592 5581488 6088896 6155361 6204154 6279174 6357976 6404288 6481728 6768168 7152723 7204824 7383456 7441984 7523219 7614189 7859808 8207148 8372232 8742217 9024224 9133344 9306231 9536964 9606432 10152252 10807236 10942864 11075184 11162976 12310722 12408308 12558348 12715952 13536336 14305446 14409648 14766912 15046438 15228378 15719616 16414296 16744464 17484434 18048448 18266688 18466083 18612462 19073928 19212864 20304504 21201799 21458169 21614472 21885728 22150368 22325952 22569657 24621444 24816616 25116696 25431904 26226651 27072672 27918693 28610892 28819296 30092876 30456756 32828592 33488928 34968868 36932166 37224924 38147856 40609008 42403598 42916338 43228944 43771456 44300736 45139314 49242888 49633232 50233392 50863808 52453302 54145344 55837386 57221784 57638592 60185752 60913512 63605397 65657184 66977856 67708971 69937736 73864332 74449848 76295712 78679953 81218016 82755409 83756079 84807196 85832676 86457888 90278628 96164387 98485776 99266464 100466784 104906604 111674772 114443568 120371504 121827024 127210794 131314368 135417942 139875472 147728664 148899696 152591424 157359906 162436032 165510818 167512158 169614392 171665352 172915776 180557256 190816191 192328774 196971552 198532928 200933568 203126913 209813208 223349544 228887136 233219789 236039859 240743008 243654048 248266227 254421588 270835884 279750944 288493161 295457328 297799392 314719812 331021636 335024316 339228784 343330704 361114512 381632382 384657548 393943104 406253826 419626416 446699088 457774272 466439578 472079718 481486016 487308096 496532454 508843176 541671768 559501888 572448573 576986322 590914656 595598784 629439624 657255769 662043272 670048632 678457568 686661408 699659367 722229024 744798681 763264764 769315096 812507652 839252832 865479483 893398176 932879156 944159436 993064908 1017686352 1083343536 1144897146 1153972644 1181829312 1258879248 1314511538 1324086544 1340097264 1356915136 1373322816 1399318734 1444458048 1489597362 1526529528 1538630192 1625015304 1678505664 1730958966 1786796352 1865758312 1888318872 1971767307 1986129816 2035372704 2098978101 2166687072 2234396043 2289794292 2307945288 2517758496 2565417679 2596438449 2629023076 2648173088 2680194528 2798637468 2979194724 3053059056 3077260384 3250030608 3461917932 3731516624 3776637744 3943534614 3972259632 4070745408 4197956202 4333374144 4468792086 4579588584 4615890576 5035516992 5130835358 5192876898 5258046152 5296346176 5360389056 5597274936 5915301921 5958389448 6106118112 6154520768 6296934303 6500061216 6923835864 7229813459 7463033248 7553275488 7696253037 7887069228 7944519264 8395912404 8937584172 9159177168 9231781152 10261670716 10385753796 10516092304 11194549872 11830603842 11916778896 12212236224 12593868606 13000122432 13847671728 14459626918 14926066496 15106550976 15392506074 15774138456 15889038528 16791824808 17745905763 17875168344 18318354336 18463562304 20523341432 20771507592 21032184608 21689440377 22389099744 23088759111 23661207684 23833557792 25187737212 27695343456 28919253836 30785012148 31548276912 33583649616 35491811526 35750336688 36636708672 41046682864 41543015184 42064369216 43378880754 44778199488 46177518222 47322415368 47667115584 50375474424 55390686912 57838507672 61570024296 63096553824 65068321131 67167299232 69266277333 70983623052 71500673376 79527948049 82093365728 83086030368 86757761508 92355036444 94644830736 100750948848 115677015344 123140048592 126193107648 130136642262 134334598464 138532554666 141967246104 143001346752 159055896098 164186731456 166172060736 173515523016 184710072888 189289661472 195204963393 201501897696 231354030688 238583844147 246280097184 260273284524 277065109332 283934492208 318111792196 347031046032 369420145776 378579322944 390409926786 403003795392 462708061376 477167688294 492560194368 520546569048 554130218664 567868984416 636223584392 694062092064 715751532441 738840291552 780819853572 954335376588 1041093138096 1108260437328 1135737968832 1272447168784 1388124184128 1431503064882 1477680583104 1561639707144 1908670753176 2082186276192 2147254597323 2216520874656 2544894337568 2863006129764 3123279414288 3817341506352 4164372552384 4294509194646 4433041749312 5089788675136 5726012259528 6246558828576 7634683012704 8589018389292 11452024519056 12493117657152 15269366025408 17178036778584 22904049038112 34356073557168 45808098076224 68712147114336 137424294228672
• Sum of all divisors σ(n): 459410674943640
• Sum of proper divisors (its aliquot sum) s(n): 321986380714968
• 137424294228672 is an abundant number, because the sum of its proper divisors (321986380714968) is greater than itself. Its abundance is 184562086486296

Bases of 137424294228672

• Binary: 11111001111110010010110001111011011001011000000₂
• Hexadecimal: 0x7CFC963DB2C0
• Base-36: 1CPNUKLDC0

Squares and roots of 137424294228672

• 137424294228672 squared (137424294228672²) is 18885436644248612367426883584
• 137424294228672 cubed (137424294228672³) is 2595317802036165283386926760435630018920448
• The square root of 137424294228672 is 11722810.8501618331
• The cube root of 137424294228672 is 51604.5313595483

Scales and comparisons

• 137,424,294,228,672 seconds is equal to 4,369,667 years, 24 weeks, 4 days, 23 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,424,294,228,672 would take you about ten million, nine hundred twenty-four thousand, one hundred sixty-eight 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 137424294228672 cubic inches would be around 4300.4 feet tall.

Recreational maths with 137424294228672

• 137424294228672 backwards is 276822492424731
• The number of decimal digits it has is: 15
• The sum of 137424294228672's digits is 63
• More coming soon!