138637012800

Names of 138637012800

• Cardinal: 138637012800 can be written as One hundred thirty-eight billion, six hundred thirty-seven million, twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.386370128 × 10¹¹

Factors of 138637012800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 160

Divisors of 138637012800

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 109 110 120 130 132 136 143 150 156 160 165 170 176 187 192 195 200 204 208 218 220 221 240 255 260 264 272 275 286 300 312 320 325 327 330 340 352 374 390 400 408 416 425 429 436 440 442 480 510 520 528 544 545 550 561 572 600 624 650 654 660 663 680 704 715 748 780 800 816 825 832 850 858 872 880 884 935 960 975 1020 1040 1056 1088 1090 1100 1105 1122 1144 1199 1200 1248 1275 1300 1308 1320 1326 1360 1417 1430 1496 1560 1600 1632 1635 1650 1700 1716 1744 1760 1768 1853 1870 1950 2040 2080 2112 2145 2180 2200 2210 2244 2288 2398 2400 2431 2496 2550 2600 2616 2640 2652 2720 2725 2805 2834 2860 2992 3120 3264 3270 3300 3315 3400 3432 3488 3520 3536 3575 3597 3706 3740 3900 4080 4160 4251 4290 4360 4400 4420 4488 4576 4675 4796 4800 4862 5100 5200 5232 5280 5304 5440 5450 5525 5559 5610 5668 5720 5984 5995 6240 6540 6600 6630 6800 6864 6976 7072 7085 7150 7194 7293 7412 7480 7800 8160 8175 8502 8580 8720 8800 8840 8976 9152 9265 9350 9592 9724 10200 10400 10464 10560 10608 10725 10900 11050 11118 11220 11336 11440 11881 11968 11990 12155 12480 13080 13200 13260 13600 13728 14025 14144 14170 14300 14388 14586 14824 14960 15587 15600 16320 16350 16575 17004 17160 17440 17600 17680 17952 17985 18530 18700 19184 19448 20383 20400 20800 20928 21216 21255 21450 21800 22100 22236 22440 22672 22880 23762 23980 24089 24310 26160 26400 26520 27200 27456 27795 28050 28340 28600 28776 29172 29648 29920 29975 31174 31200 32700 33150 34008 34320 34880 35360 35425 35643 35904 35970 36465 37060 37400 38368 38896 40766 40800 42432 42510 42900 43600 44200 44472 44880 45344 45760 46325 46761 47524 47960 48178 48620 52320 52800 53040 55590 56100 56680 57200 57552 58344 59296 59405 59840 59950 60775 61149 62348 62400 65400 66300 68016 68640 70720 70850 71286 71940 72267 72930 74120 74800 76736 77792 77935 81532 81600 85020 85800 87200 88400 88944 89760 89925 90688 92650 93522 95048 95920 96356 97240 101915 104640 106080 106275 111180 112200 113360 114400 115104 116688 118592 118810 119900 120445 121550 122298 124696 130691 130800 132600 136032 137280 138975 141700 142572 143880 144534 145860 148240 149600 154453 155584 155870 163064 170040 171600 174400 176800 177888 178215 179520 179850 182325 185300 187044 190096 191840 192712 194480 201977 203830 212160 212550 222360 224400 226720 228800 230208 233376 233805 237620 239800 240890 243100 244596 249392 261382 261600 264979 265200 272064 277950 283400 285144 287760 289068 291720 296480 297025 299200 305745 308906 311740 326128 340080 343200 353600 355776 356430 359700 361335 364650 370600 374088 380192 383680 385424 388960 389675 392073 403954 407660 425100 444720 448800 453440 463359 466752 467610 475240 479600 481780 486200 489192 498784 509575 522764 523200 529958 530400 555900 566800 570288 575520 578136 583440 592960 594050 602225 605931 611490 617812 623480 652256 653455 680160 686400 712860 719400 722670 729300 741200 748176 760384 770848 772265 777920 779350 784146 794937 807908 815320 850200 889440 891075 897600 926718 935220 950480 959200 963560 972400 978384 997568 1009885 1019150 1045528 1059916 1060800 1111800 1133600 1140576 1151040 1156272 1166880 1169025 1188100 1204450 1211862 1222980 1235624 1246960 1304512 1306910 1324895 1360320 1425720 1438800 1445340 1458600 1482400 1496352 1528725 1541696 1544530 1558700 1568292 1589874 1615816 1630640 1698983 1700400 1778880 1782150 1806675 1853436 1870440 1900960 1918400 1927120 1944800 1956768 1960365 2019770 2038300 2091056 2119832 2221747 2223600 2267200 2281152 2312544 2316795 2333760 2338050 2376200 2408900 2423724 2445960 2471248 2493920 2613820 2625701 2649790 2851440 2877600 2890680 2917200 2964800 2992704 3029655 3057450 3089060 3117400 3136584 3179748 3231632 3261280 3267275 3397966 3400800 3564300 3613350 3706872 3740880 3801920 3854240 3861325 3889600 3913536 3920730 3974685 4039540 4076600 4182112 4239664 4443494 4447200 4625088 4633590 4676100 4752400 4817800 4847448 4891920 4942496 4987840 5049425 5096949 5227640 5251402 5299580 5702880 5755200 5781360 5834400 6059310 6114900 6178120 6234800 6273168 6359496 6463264 6522560 6534550 6624475 6665241 6795932 6801600 7128600 7226700 7413744 7481760 7708480 7722650 7841460 7877103 7949370 8079080 8153200 8364224 8479328 8494915 8886988 8894400 9267180 9352200 9504800 9635600 9694896 9783840 9801825 9884992 10098850 10193898 10455280 10502804 10599160 11108735 11405760 11562720 11583975 11668800 12118620 12229800 12356240 12469600 12546336 12718992 12926528 13069100 13128505 13248950 13330482 13591864 14257200 14453400 14827488 14963520 15148275 15445300 15682920 15754206 15898740 16158160 16306400 16958656 16989830 17773976 18534360 18704400 19009600 19271200 19389792 19567680 19603650 19873425 20197700 20387796 20910560 21005608 21198320 22217470 23125440 23167950 24237240 24459600 24712480 24939200 25092672 25437984 25484745 26138200 26257010 26497900 26660964 27183728 28514400 28882711 28906800 29654976 30296550 30890600 31365840 31508412 31797480 32316320 32612800 33326205 33979660 35547952 37068720 37408800 38542400 38779584 39207300 39385515 39746850 40395400 40775592 41821120 42011216 42396640 42474575 44434940 46335900 48474480 48919200 49424960 50875968 50969490 52276400 52514020 52995800 53321928 54367456 55543675 57028800 57765422 57813600 60593100 61781200 62731680 63016824 63594960 64632640 65642525 66652410 67959320 71095904 74137440 74817600 78414600 78771030 79493700 80790800 81551184 84022432 84793280 84949150 86648133 88869880 92671800 96948960 97838400 101938980 104552800 105028040 105991600 106643856 108734912 111087350 115530844 115627200 121186200 123562400 125463360 126033648 127189920 127423725 131285050 133304820 135918640 142191808 144413555 148274880 156829200 157542060 158987400 161581600 163102368 166631025 168044864 169898300 173296266 177739760 185343600 193897920 196927575 203877960 209105600 210056080 211983200 213287712 222174700 231061688 242372400 247124800 252067296 254379840 254847450 262570100 266609640 271837280 288827110 313658400 315084120 317974800 323163200 326204736 333262050 339796600 346592532 355479520 370687200 393855150 407755920 420112160 423966400 426575424 433240665 444349400 462123376 484744800 504134592 509694900 525140200 533219280 543674560 577654220 627316800 630168240 635949600 666524100 679593200 693185064 710959040 722067775 741374400 787710300 815511840 840224320 866481330 888698800 924246752 969489600 1019389800 1050280400 1066438560 1155308440 1260336480 1271899200 1333048200 1359186400 1386370128 1444135550 1575420600 1631023680 1732962660 1777397600 1848493504 2038779600 2100560800 2132877120 2166203325 2310616880 2520672960 2666096400 2718372800 2772740256 2888271100 3150841200 3465925320 3554795200 4077559200 4201121600 4332406650 4621233760 5332192800 5545480512 5776542200 6301682400 6931850640 8155118400 8664813300 9242467520 10664385600 11553084400 12603364800 13863701280 17329626600 23106168800 27727402560 34659253200 46212337600 69318506400 138637012800
• Sum of all divisors σ(n): 571034826432
• Sum of proper divisors (its aliquot sum) s(n): 432397813632
• 138637012800 is an abundant number, because the sum of its proper divisors (432397813632) is greater than itself. Its abundance is 293760800832

Bases of 138637012800

• Binary: 10000001000111011010001110111101000000₂
• Hexadecimal: 0x204768EF40
• Base-36: 1ROSWBPC

Squares and roots of 138637012800

• 138637012800 squared (138637012800²) is 19220221318107363840000
• 138637012800 cubed (138637012800³) is 2664634068897283472460337152000000
• The square root of 138637012800 is 372339.9156684655
• The cube root of 138637012800 is 5175.5883986381

Scales and comparisons

• 138,637,012,800 seconds is equal to 4,408 years, 11 weeks, 6 days, 1 hour, 20 minutes.
• To count from 1 to 138,637,012,800 would take you about eight thousand, eight hundred sixteen 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 138637012800 cubic inches would be around 431.3 feet tall.

Recreational maths with 138637012800

• 138637012800 backwards is 008210736831
• 138637012800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138637012800's digits is 39
• More coming soon!