138978211468980

Names of 138978211468980

• Cardinal: 138978211468980 can be written as One hundred thirty-eight trillion, nine hundred seventy-eight billion, two hundred eleven million, four hundred sixty-eight thousand, nine hundred eighty.

Scientific notation

• Scientific notation: 1.3897821146898 × 10¹⁴

Factors of 138978211468980

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 77146

Divisors of 138978211468980

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 10 12 13 15 17 20 26 29 30 34 37 39 51 52 58 60 65 68 74 78 85 87 102 111 116 127 130 145 148 156 170 174 185 195 204 221 222 254 255 260 290 340 348 370 377 381 390 435 442 444 481 493 508 510 555 580 629 635 663 740 754 762 780 870 884 962 986 1020 1073 1105 1110 1131 1258 1270 1326 1443 1479 1508 1524 1651 1740 1885 1887 1905 1924 1972 2146 2159 2210 2220 2262 2405 2465 2516 2540 2652 2886 2958 3145 3219 3302 3315 3683 3770 3774 3810 4292 4318 4420 4524 4699 4810 4930 4953 5365 5655 5772 5916 6290 6409 6438 6477 6604 6630 7215 7366 7395 7540 7548 7620 8177 8255 8636 9398 9435 9620 9860 9906 10730 10795 11049 11310 12580 12818 12876 12954 13260 13949 14097 14430 14732 14790 16095 16354 16510 18241 18415 18796 18870 19227 19812 21460 21590 22098 22620 23495 24531 24765 25636 25908 27898 28067 28194 28860 29580 32045 32190 32385 32708 33020 36482 36830 37740 38454 40885 41847 43180 44196 46990 47879 49062 49530 54723 55245 55796 56134 56388 61087 62611 64090 64380 64770 69745 70485 72964 73660 76908 76913 79883 81770 83694 84201 91205 93980 95758 96135 98124 99060 109446 110490 112268 122174 122655 125222 128180 129540 136271 139490 140335 140970 143637 153826 159766 163540 167388 168402 182410 183261 187833 191516 192270 209235 218892 220980 230739 237133 239395 239649 244348 245310 250444 272542 273615 278980 280670 281940 287274 305435 307652 313055 319532 336804 364820 366522 375666 384540 384565 399415 408813 418470 421005 461478 474266 478790 479298 490620 545084 547230 561340 574548 610870 626110 681355 711399 718185 733044 751332 769130 798830 813943 817626 836940 842010 916305 922956 939165 948532 957580 958596 999869 1038479 1094460 1153695 1185665 1198245 1221740 1252220 1307521 1362710 1422798 1436370 1538260 1597660 1627886 1635252 1684020 1771523 1832610 1878330 1999738 2044065 2076958 2230477 2307390 2316607 2371330 2396490 2441829 2615042 2725420 2845596 2845781 2872740 2999607 3115437 3255772 3543046 3556995 3665220 3756660 3922563 3999476 4069715 4088130 4153916 4460954 4614780 4633214 4742660 4792980 4883658 4999345 5192395 5230084 5314569 5691562 5999214 6230874 6537605 6691431 6949821 7086092 7113990 7845126 8139430 8176260 8537343 8857615 8921908 9266428 9767316 9767951 9998690 10384790 10629138 11152385 11383124 11583035 11998428 12209145 12461748 13075210 13382862 13899642 14227980 14228905 14998035 15577185 15690252 16278860 16997773 17074686 17715230 19535902 19612815 19997380 20769580 21258276 22304770 23166070 24418290 26150420 26572845 26765724 27799284 28457810 28996201 29303853 29996070 30115891 31154370 33457155 33995546 34149372 34749105 35430460 36995153 37918109 39071804 39225630 42686715 44609540 46332140 48378277 48836580 48839755 50993319 53145690 56915620 57992402 58607706 59992140 60231782 62308740 66914310 67991092 69498210 73990306 75836218 78451260 82527649 84988865 85373430 86988603 90347673 96756554 97679510 101986638 106291380 110985459 113754327 115984804 117215412 120463564 126983363 133828620 138996420 144981005 145134831 146519265 147980612 150579455 151672436 165055298 166055167 169977730 170746860 173977206 180695346 184975765 189590545 193513108 195359020 203973276 221970918 227508654 241891385 247582947 253966726 254966595 283270579 289962010 290269662 293038530 301158910 330110596 332110334 339955460 347954412 361390692 361414187 369951530 379181090 380950089 412638245 434943015 443941836 451738365 455017308 483782770 492935417 495165894 498165501 507933452 509933190 554927295 566541158 568771635 579924020 580539324 586077060 602317820 628917601 634916815 664220668 722828374 725674155 739903060 758362180 761900178 825276490 830275835 849811737 869886030 903476730 967565540 985870834 990331788 996331002 1019866380 1072859437 1084242561 1109854590 1133082316 1137543270 1237914735 1257835202 1269833630 1402970033 1416352895 1445656748 1451348310 1478806251 1523800356 1650552980 1660551670 1699623474 1739772060 1806953460 1807070935 1886752803 1904750445 1971741668 1992662004 2145718874 2158717171 2168485122 2219709180 2275086540 2464677085 2475829470 2490827505 2515670404 2539667260 2805940066 2832705790 2902696620 2957612502 3144588005 3218578311 3321103340 3399246948 3614141870 3682517527 3773505606 3809500890 4208910099 4249058685 4291437748 4317434342 4336970244 4698384431 4815599843 4929354170 4951658940 4981655010 5364297185 5421212805 5611880132 5665411580 5915225004 6144041179 6289176010 6437156622 6476151513 7014850165 7228283740 7365035054 7394031255 7547011212 7619001780 8417820198 8498117370 8634868684 9396768862 9433764015 9631199686 9858708340 9963310020 10481011423 10728594370 10793585855 10842425610 11047552581 12288082358 12578352020 12874313244 12952303026 14029700330 14095153293 14446799529 14730070108 14788062510 16092891555 16835640396 16996234740 18238610429 18412587635 18432123537 18793537724 18867528030 19262399372 20962022846 21044550495 21457188740 21587171710 21684851220 22095105162 23491922155 24077999215 24576164716 25904606052 28059400660 28190306586 28893599058 29576125020 30720205895 31443034269 32185783110 32380757565 36477220858 36825175270 36864247074 37735056060 41924045692 42089100990 43174343420 44190210324 46983844310 48155998430 52405057115 54715831287 55237762905 56380613172 57787198116 61440411790 62602797959 62886068538 64371566220 64761515130 70475766465 72233997645 72954441716 73650350540 73728494148 79872535327 84178201980 91193052145 92160617685 93967688620 96311996860 104810114230 109431662574 110475525810 122880823580 125205595918 125772137076 129523030260 136253148499 140951532930 144467995290 157215171345 159745070654 178177194191 182386104290 184321235370 187808393877 209620228460 218863325148 220951051620 239617605981 250411191836 272506296998 273579156435 281903065860 288935990580 313013989795 314430342690 319490141308 356354388382 364772208580 368642470740 375616787754 399362676635 408759445497 479235211962 534531582573 545012593996 547158312870 626027979590 628860685380 681265742495 712708776764 751233575508 798725353270 817518890994 890885970955 939041969385 958470423924 1069063165146 1094316625740 1198088029905 1252055959180 1362531484990 1597450706540 1635037781988 1781771941910 1878083938770 2043797227485 2138126330292 2316303524483 2396176059810 2672657912865 2725062969980 3563543883820 3756167877540 4087594454970 4632607048966 4792352119620 5345315825730 6948910573449 8175188909940 9265214097932 10690631651460 11581517622415 13897821146898 23163035244830 27795642293796 34744552867245 46326070489660 69489105734490 138978211468980
• Sum of all divisors σ(n): 475149242695680
• Sum of proper divisors (its aliquot sum) s(n): 336171031226700
• 138978211468980 is an abundant number, because the sum of its proper divisors (336171031226700) is greater than itself. Its abundance is 197192819757720

Bases of 138978211468980

• Binary: 11111100110011001100010111011010001011010110100₂
• Hexadecimal: 0x7E6662ED16B4
• Base-36: 1D9HPISPMC

Squares and roots of 138978211468980

• 138978211468980 squared (138978211468980²) is 19314943263116524009502240400
• 138978211468980 cubed (138978211468980³) is 2684356269332758882915555801260285102792000
• The square root of 138978211468980 is 11788902.0467972335
• The cube root of 138978211468980 is 51798.3078944411

Scales and comparisons

• 138,978,211,468,980 seconds is equal to 4,419,077 years, 12 weeks, 2 days, 5 hours, 23 minutes.
• To count from 1 to 138,978,211,468,980 would take you about eleven million, forty-seven thousand, six hundred ninety-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 138978211468980 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138978211468980

• 138978211468980 backwards is 089864112879831
• The number of decimal digits it has is: 15
• The sum of 138978211468980's digits is 75
• More coming soon!