137422387872

Names of 137422387872

• Cardinal: 137422387872 can be written as One hundred thirty-seven billion, four hundred twenty-two million, three hundred eighty-seven thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.37422387872 × 10¹¹

Factors of 137422387872

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 344

Divisors of 137422387872

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 66 67 72 73 77 84 88 96 98 99 112 126 132 134 144 146 147 154 168 176 181 196 198 201 219 224 231 252 264 268 288 292 294 308 336 352 362 392 396 402 438 441 462 469 504 511 528 536 539 543 584 588 603 616 657 672 693 724 737 784 792 803 804 876 882 924 938 1008 1022 1056 1072 1078 1086 1168 1176 1206 1232 1267 1314 1386 1407 1448 1474 1533 1568 1584 1606 1608 1617 1629 1752 1764 1848 1876 1991 2016 2044 2144 2156 2172 2211 2336 2352 2409 2412 2464 2534 2628 2772 2814 2896 2948 3066 3168 3212 3216 3234 3258 3283 3504 3528 3577 3696 3752 3801 3982 4088 4221 4312 4344 4422 4599 4704 4818 4824 4851 4891 5068 5159 5256 5544 5621 5628 5792 5896 5973 6132 6424 6432 6468 6516 6566 6633 7008 7056 7154 7227 7392 7504 7602 7964 8176 8442 8624 8688 8844 8869 9198 9636 9648 9702 9782 9849 10136 10318 10512 10731 11088 11242 11256 11403 11792 11946 12127 12264 12848 12936 13032 13132 13213 13266 13937 14112 14308 14454 14673 15008 15204 15477 15928 16352 16863 16884 17248 17376 17688 17738 17919 18396 19272 19296 19404 19564 19698 20272 20636 21024 21462 22176 22484 22512 22806 23584 23892 24254 24528 25696 25872 26064 26264 26426 26532 26607 27874 28616 28908 29346 29547 30408 30954 31856 32193 33726 33768 34237 35376 35476 35838 36113 36381 36792 38544 38808 39128 39347 39396 39639 40544 41272 41811 42924 44019 44968 45024 45612 46431 47784 48508 49056 50589 51744 52128 52528 52852 53064 53214 53801 55748 57232 57816 58692 59094 60816 61908 63712 64386 67452 67536 68474 70752 70952 71676 72226 72762 73584 77088 77616 78256 78694 78792 79278 79821 82544 83622 84889 85848 88038 89936 91224 92491 92862 95568 97016 97559 101178 102711 105056 105704 106128 106428 107602 108339 109143 111496 114464 115632 117384 118041 118188 118917 121632 123816 125433 128772 133397 134904 135072 136948 141904 143352 144452 145343 145524 147168 155232 156512 157388 157584 158556 159642 161403 165088 167244 169778 171696 176076 179872 182448 184982 185724 191136 194032 195118 202356 205422 211408 212256 212856 215204 216678 218286 222992 231264 234768 236082 236376 237834 239659 247632 250866 254667 257544 266794 269808 273896 277473 283808 286704 288904 290686 291048 292677 308133 314776 315168 317112 319284 322806 325017 334488 339556 343392 352152 354123 364896 369964 371448 376607 388064 390236 400191 404712 410844 422816 425712 430408 433356 436029 436572 445984 469536 472164 472752 475668 479318 484209 495264 501732 509334 515088 533588 539616 547792 554946 573408 577808 581372 582096 585354 594223 616266 629552 634224 638568 645612 647437 650034 668976 679112 704304 708246 718977 739928 742896 753214 764001 780472 800382 809424 821688 832419 851424 860816 866712 872058 873144 878031 885271 933779 944328 945504 951336 958636 968418 1003464 1017401 1018668 1030176 1067176 1095584 1109892 1129821 1155616 1162744 1164192 1170708 1188446 1200573 1232532 1259104 1268448 1277136 1291224 1294874 1300068 1308087 1337952 1358224 1408608 1416492 1437954 1479856 1485792 1506428 1528002 1560944 1600764 1618848 1643376 1664838 1721632 1733424 1744116 1746288 1756062 1770542 1782669 1867558 1888656 1902672 1917272 1936836 1942311 2006928 2034802 2037336 2134352 2156931 2219784 2259642 2325488 2341416 2376892 2401146 2465064 2554272 2582448 2589748 2600136 2616174 2636249 2655813 2716448 2801337 2832984 2875908 2959712 3012856 3052203 3056004 3121888 3201528 3286752 3329676 3389463 3466848 3488232 3492576 3512124 3541084 3565338 3735116 3777312 3805344 3834544 3873672 3884622 4013856 4069604 4074672 4268704 4313862 4439568 4519284 4650976 4682832 4753784 4802292 4930128 5164896 5179496 5200272 5232348 5272498 5311626 5348007 5602674 5665968 5751816 5826933 6025712 6104406 6112008 6196897 6403056 6536453 6659352 6778926 6976464 7024248 7082168 7121807 7130676 7470232 7669088 7747344 7769244 7908747 7967439 8139208 8149344 8404011 8627724 8879136 9038568 9156609 9365664 9507568 9604584 9737981 9860256 10358992 10400544 10464696 10544996 10623252 10696014 11205348 11331936 11503632 11653866 12051424 12208812 12224016 12393794 12806112 13072906 13318704 13557852 13952928 14048496 14164336 14243614 14261352 14940464 15494688 15538488 15817494 15934878 16278416 16808022 17255448 18077136 18313218 18590691 19015136 19209168 19475962 19609359 20717984 20929392 21089992 21246504 21365421 21392028 22410696 23007264 23307732 23726241 24417624 24448032 24787588 26145812 26637408 27115704 28096992 28328672 28487228 28522704 29213943 29880928 31076976 31634988 31869756 32556832 33616044 34510896 36154272 36626436 37181382 38418336 38951924 39218718 41858784 42179984 42493008 42730842 42784056 43378279 44821392 46615464 47452482 48835248 49575176 52291624 54231408 55772073 56974456 57045408 58427886 58828077 62153952 63269976 63739512 64096263 67232088 68165867 69021792 73252872 74362764 77903848 78437436 84359968 84986016 85461684 85568112 86756558 87641829 89642784 93230928 94904964 97670496 99150352 104583248 108462816 111544146 113948912 116855772 117656154 126539952 127479024 128192526 130134837 134464176 136331734 146505744 148725528 155807696 156874872 170923368 171136224 173513116 175283658 186461856 189809928 198300704 204497601 209166496 223088292 227897824 233711544 235312308 253079904 254958048 256385052 260269674 268928352 272663468 293011488 297451056 311615392 313749744 341846736 347026232 350567316 379619856 390404511 408995202 446176584 467423088 470624616 477161069 512770104 520539348 545326936 594902112 613492803 627499488 683693472 694052464 701134632 759239712 780809022 817990404 892353168 934846176 941249232 954322138 1025540208 1041078696 1090653872 1226985606 1388104928 1402269264 1431483207 1561618044 1635980808 1784706336 1882498464 1908644276 2051080416 2082157392 2181307744 2453971212 2804538528 2862966414 3123236088 3271961616 3817288552 4164314784 4294449621 4907942424 5725932828 6246472176 6543923232 7634577104 8588899242 9815884848 11451865656 12492944352 15269154208 17177798484 19631769696 22903731312 34355596968 45807462624 68711193936 137422387872
• Sum of all divisors σ(n): 513040941504
• Sum of proper divisors (its aliquot sum) s(n): 375618553632
• 137422387872 is an abundant number, because the sum of its proper divisors (375618553632) is greater than itself. Its abundance is 238196165760

Bases of 137422387872

• Binary: 1111111111111000000110011101010100000₂
• Hexadecimal: 0x1FFF033AA0
• Base-36: 1R4PQP40

Squares and roots of 137422387872

• 137422387872 squared (137422387872²) is 18884912688442412688384
• 137422387872 cubed (137422387872³) is 2595209796399987527998600316878848
• The square root of 137422387872 is 370705.2574107899
• The cube root of 137422387872 is 5160.4292738231

Scales and comparisons

• 137,422,387,872 seconds is equal to 4,369 years, 31 weeks, 3 days, 21 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,422,387,872 would take you about eight thousand, seven hundred thirty-nine 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 137422387872 cubic inches would be around 430 feet tall.

Recreational maths with 137422387872

• 137422387872 backwards is 278783224731
• The number of decimal digits it has is: 12
• The sum of 137422387872's digits is 54
• More coming soon!