138237967794960

Names of 138237967794960

• Cardinal: 138237967794960 can be written as One hundred thirty-eight trillion, two hundred thirty-seven billion, nine hundred sixty-seven million, seven hundred ninety-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3823796779496 × 10¹⁴

Factors of 138237967794960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 111956

Divisors of 138237967794960

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 61 66 72 80 88 90 99 110 120 121 122 132 144 165 176 180 183 198 220 233 240 242 244 264 305 330 360 363 366 396 440 466 484 488 495 528 549 605 610 660 671 699 720 726 732 792 880 915 932 968 976 990 1089 1098 1165 1210 1220 1320 1342 1398 1452 1464 1584 1815 1830 1864 1936 1980 2013 2097 2178 2196 2330 2420 2440 2563 2640 2684 2745 2796 2904 2928 3355 3495 3630 3660 3728 3960 4026 4194 4356 4392 4660 4840 4880 5126 5368 5445 5490 5592 5808 6039 6710 6990 7260 7320 7381 7689 7920 8052 8388 8712 8784 9320 9680 10065 10252 10485 10736 10890 10980 11184 12078 12815 13420 13980 14213 14520 14640 14762 15378 16104 16776 17424 18640 20130 20504 20970 21780 21960 22143 23067 24156 25630 26840 27960 28193 28426 29040 29524 30195 30756 32208 33552 36905 38445 40260 41008 41940 42639 43560 43920 44286 46134 48312 51260 53680 55920 56386 56852 59048 60390 61512 66429 71065 73810 76890 80520 83880 84579 85278 87120 88572 92268 96624 102520 110715 111641 112772 113704 115335 118096 120780 123024 127917 132858 140965 142130 147620 153780 156343 161040 167760 169158 170556 177144 184536 205040 213195 221430 223282 225544 227408 230670 241560 253737 255834 265716 281930 284260 295240 307560 312686 332145 334923 338316 341112 354288 369072 422895 426390 442860 446564 451088 461340 469029 483120 507474 511668 531432 558205 563860 568520 590480 615120 625372 639585 664290 669846 676632 682224 781715 845790 852780 885720 893128 922680 938058 1004769 1014948 1023336 1062864 1116410 1127720 1137040 1228051 1250744 1268685 1279170 1328580 1339692 1353264 1407087 1563430 1674615 1691580 1705560 1719773 1771440 1786256 1845360 1876116 2009538 2029896 2046672 2232820 2255440 2345145 2456102 2501488 2537370 2558340 2657160 2679384 2814174 3126860 3349230 3383160 3411120 3439546 3684153 3752232 4019076 4059792 4465640 4690290 4912204 5023845 5074740 5116680 5159319 5314320 5358768 5628348 6140255 6253720 6698460 6766320 6810101 6879092 7035435 7368306 7504464 8038152 8598865 8931280 9380580 9824408 10047690 10149480 10233360 10318638 11052459 11256696 12280510 12507440 13396920 13508561 13620202 13758184 14070870 14736612 15477957 16076304 17197730 18420765 18761160 19648816 20095380 20298960 20430303 20637276 22104918 22513392 24561020 25796595 26012353 26793840 27017122 27240404 27516368 28141740 29473224 30955914 34050505 34395460 36841530 37522320 40190760 40525683 40860606 41274552 44209836 49122040 51593190 52024706 54034244 54480808 55262295 56283480 58946448 61290909 61911828 67542805 68101010 68790920 73683060 74911111 77389785 78037059 80381520 81051366 81721212 82549104 88419672 98244080 102151515 103186380 104049412 108068488 108961616 110524590 112566960 121577049 122581818 123823656 130061765 135085610 136202020 137581840 147366120 149822222 154779570 156074118 162102732 163442424 176839344 202628415 204303030 206372760 208098824 216136976 221049180 224733333 234111177 243154098 245163636 247647312 260123530 270171220 272404040 286135883 294732240 299644444 306454545 309559140 312148236 324205464 326884848 374555555 390185295 405256830 408606060 412745520 416197648 442098360 449466666 468222354 486308196 490327272 520247060 540342440 544808080 572271766 599288888 607885245 612909090 619118280 624296472 648410928 674199999 749111110 780370590 810513660 817212120 824022221 858407649 884196720 898933332 936444708 972616392 980654544 1040494120 1080684880 1123666665 1144543532 1170555885 1198577776 1215770490 1225818180 1238236560 1248592944 1348399998 1430679415 1498222220 1560741180 1586753533 1621027320 1634424240 1648044442 1716815298 1797866664 1872889416 1945232784 2080988240 2247333330 2289087064 2341111770 2431540980 2451636360 2472066663 2575222947 2696799996 2861358830 2996444440 3121482360 3147494713 3173507066 3242054640 3296088884 3370999995 3433630596 3595733328 3745778832 4120111105 4292038245 4494666660 4578174128 4682223540 4760260599 4863081960 4903272720 4944133326 5150445894 5393599992 5722717660 5992888880 6242964720 6294989426 6347014132 6592177768 6741999990 6867261192 7416199989 7933767665 8240222210 8584076490 8989333320 9364447080 9442484139 9520521198 9726163920 9888266652 10300891788 10787199984 11445435320 12360333315 12589978852 12694028264 12876114735 13184355536 13483999980 13734522384 14280781797 14832399978 15737473565 15867535330 16480444420 17168152980 17454288863 17978666640 18728894160 18884968278 19041042396 19776533304 20601783576 22890870640 23801302995 24720666630 25179957704 25388056528 25752229470 26967999960 28327452417 28561563594 29664799956 31474947130 31735070660 32960888840 34336305960 34908577726 37080999945 37769936556 38082084792 39553066608 41203567152 47212420695 47602605990 49441333260 50359915408 51504458940 52362866589 53935999920 56654904834 57123127188 59329599912 62949894260 63470141320 65921777680 68672611920 69817155452 71403908985 74161999890 75539873112 76164169584 87271444315 94424841390 95205211980 98882666520 103008917880 104725733178 113309809668 114246254376 118659199824 125899788520 126940282640 139634310904 141637262085 142807817970 148323999780 151079746224 157088599767 174542888630 188849682780 190410423960 191997177493 197765333040 206017835760 209451466356 226619619336 228492508752 251799577040 261814332945 279268621808 283274524170 285615635940 296647999560 314177199534 349085777260 377699365560 380820847920 383994354986 418902932712 453239238672 523628665890 566549048340 571231271880 575991532479 593295999120 628354399068 698171554520 755398731120 767988709972 785442998835 837805865424 959985887465 1047257331780 1133098096680 1142462543760 1151983064958 1256708798136 1396343109040 1535977419944 1570885997670 1727974597437 1919971774930 2094514663560 2266196193360 2303966129916 2513417596272 2879957662395 3071954839888 3141771995340 3455949194874 3839943549860 4189029327120 4607932259832 5759915324790 6283543990680 6911898389748 7679887099720 8639872987185 9215864519664 11519830649580 12567087981360 13823796779496 15359774199440 17279745974370 23039661299160 27647593558992 34559491948740 46079322598320 69118983897480 138237967794960
• Sum of all divisors σ(n): 520886488724784
• Sum of proper divisors (its aliquot sum) s(n): 382648520929824
• 138237967794960 is an abundant number, because the sum of its proper divisors (382648520929824) is greater than itself. Its abundance is 244410553134864

Bases of 138237967794960

• Binary: 11111011011101000001000111101110000001100010000₂
• Hexadecimal: 0x7DBA08F70310
• Base-36: 1D01N8TR80

Squares and roots of 138237967794960

• 138237967794960 squared (138237967794960²) is 19109735740080398124601401600
• 138237967794960 cubed (138237967794960³) is 2641691033807430177229823735667677415936000
• The square root of 138237967794960 is 11757464.3437673243
• The cube root of 138237967794960 is 51706.1791883989

Scales and comparisons

• 138,237,967,794,960 seconds is equal to 4,395,539 years, 40 weeks, 3 days, 2 hours, 36 minutes.
• To count from 1 to 138,237,967,794,960 would take you about ten million, nine hundred eighty-eight thousand, eight hundred forty-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 138237967794960 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138237967794960

• 138237967794960 backwards is 069497769732831
• The number of decimal digits it has is: 15
• The sum of 138237967794960's digits is 81
• More coming soon!