138998720105656320

Names of 138998720105656320

• Cardinal: 138998720105656320 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-eight trillion, seven hundred twenty billion, one hundred five million, six hundred fifty-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3899872010565632 × 10¹⁷

Factors of 138998720105656320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 15058290

Divisors of 138998720105656320

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 127 128 130 140 156 160 168 169 182 192 195 208 210 224 240 254 256 260 273 280 312 320 336 338 364 381 384 390 416 420 448 455 480 507 508 512 520 546 560 624 635 640 672 676 728 762 768 780 832 840 845 889 896 910 960 1014 1016 1024 1040 1092 1120 1183 1248 1270 1280 1344 1352 1365 1456 1524 1536 1560 1651 1664 1680 1690 1778 1792 1820 1905 1920 2028 2032 2048 2080 2184 2240 2366 2496 2535 2540 2560 2667 2688 2704 2730 2912 3048 3072 3120 3302 3328 3360 3380 3549 3556 3584 3640 3810 3840 4056 4064 4096 4160 4368 4445 4480 4732 4953 4992 5070 5080 5120 5334 5376 5408 5460 5824 5915 6096 6144 6240 6604 6656 6720 6760 7098 7112 7168 7280 7620 7680 8112 8128 8255 8320 8736 8890 8960 9464 9906 9984 10140 10160 10240 10668 10752 10816 10920 11557 11648 11830 12192 12288 12480 13208 13312 13335 13440 13520 14196 14224 14336 14560 15240 15360 16224 16256 16510 16640 17472 17745 17780 17920 18928 19812 19968 20280 20320 20480 21336 21463 21504 21632 21840 23114 23296 23660 24384 24765 24960 26416 26624 26670 26880 27040 28392 28448 28672 29120 30480 30720 32448 32512 33020 33280 34671 34944 35490 35560 35840 37856 39624 39936 40560 40640 42672 42926 43008 43264 43680 46228 46592 47320 48768 49530 49920 52832 53248 53340 53760 54080 56784 56896 57785 58240 60960 61440 64389 64896 65024 66040 66560 69342 69888 70980 71120 71680 75712 79248 79872 81120 81280 85344 85852 86016 86528 87360 92456 93184 94640 97536 99060 99840 105664 106680 107315 107520 108160 113568 113792 115570 116480 121920 128778 129792 130048 132080 133120 138684 139776 141960 142240 143360 150241 151424 158496 159744 162240 162560 170688 171704 173056 173355 174720 184912 186368 189280 195072 198120 199680 211328 213360 214630 215040 216320 227136 227584 231140 232960 243840 257556 259584 260096 264160 266240 277368 279552 283920 284480 300482 302848 316992 321945 324480 325120 341376 343408 346112 346710 349440 369824 372736 378560 390144 396240 399360 422656 426720 429260 430080 432640 450723 454272 455168 462280 465920 487680 515112 519168 520192 528320 554736 559104 567840 568960 600964 605696 633984 643890 648960 650240 682752 686816 692224 693420 698880 739648 751205 757120 780288 792480 798720 845312 853440 858520 865280 901446 908544 910336 924560 931840 975360 1030224 1038336 1056640 1109472 1118208 1135680 1137920 1201928 1211392 1267968 1287780 1297920 1300480 1365504 1373632 1386840 1397760 1479296 1502410 1514240 1560576 1584960 1690624 1706880 1717040 1730560 1802892 1817088 1820672 1849120 1863680 1950720 2060448 2076672 2113280 2218944 2253615 2271360 2275840 2403856 2422784 2535936 2575560 2595840 2600960 2731008 2747264 2773680 2795520 2958592 3004820 3028480 3169920 3381248 3413760 3434080 3461120 3605784 3634176 3641344 3698240 3901440 4120896 4226560 4437888 4507230 4542720 4551680 4807712 4845568 5071872 5151120 5191680 5462016 5494528 5547360 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6787046880159 6840488194176 6853980281344 6961073723240 7015885327360 7343550301440 7756625005896 7817700793344 7833120321536 7955512826560 8353288467888 8419062392832 8550610242720 8567475351680 9049395840212 9120650925568 9546615391872 9695781257370 9772125991680 9791400401920 10280970422016 10342166674528 10423601057792 10441610584860 10523827991040 11137717957184 11311744800265 11400813656960 11749680482304 11933269239840 12027231989760 12728820522496 12851213027520 12927708343160 13029501322240 13574093760318 13680976388352 13707960562688 13922147446480 14031770654720 14687100602880 15513250011792 15635401586688 15911025653120 16706576935776 16838124785664 17101220485440 17134950703360 18098791680424 18241301851136 19093230783744 19391562514740 19544251983360 19582800803840 20561940844032 20684333349056 20883221169720 21047655982080 22275435914368 22623489600530 22801627313920 23499360964608 23866538479680 25457641044992 25702426055040 25855416686320 26059002644480 27148187520636 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136809763883520 137079605626880 144790333443392 152745846269952 155132500117920 156354015866880 164495526752256 165474666792448 167065769357760 178203487314944 180987916804240 182413018511360 190932307837440 205619408440320 206843333490560 217185500165088 218895622213632 222754359143680 248212000188672 254576410449920 267305230972416 271481875206360 273619527767040 274159211253760 289580666886784 305491692539904 310265000235840 330949333584896 334131538715520 356406974629888 361975833608480 364826037022720 381864615674880 411238816880640 413686666981120 434371000330176 445508718287360 496424000377344 509152820899840 534610461944832 542963750412720 547239055534080 579161333773568 620530000471680 661898667169792 668263077431040 712813949259776 723951667216960 763729231349760 822477633761280 827373333962240 868742000660352 891017436574720 992848000754688 1069220923889664 1085927500825440 1094478111068160 1158322667547136 1241060000943360 1323797334339584 1336526154862080 1447903334433920 1527458462699520 1654746667924480 1737484001320704 1782034873149440 1985696001509376 2138441847779328 2171855001650880 2316645335094272 2482120001886720 2673052309724160 2895806668867840 3309493335848960 3474968002641408 3564069746298880 3971392003018752 4343710003301760 4633290670188544 4964240003773440 5346104619448320 5791613337735680 6618986671697920 6949936005282816 8687420006603520 9266581340377088 9928480007546880 10692209238896640 11583226675471360 13899872010565632 17374840013207040 19856960015093760 23166453350942720 27799744021131264 34749680026414080 46332906701885440 69499360052828160 138998720105656320
• Sum of all divisors σ(n): 554715589845860352
• Sum of proper divisors (its aliquot sum) s(n): 415716869740204032
• 138998720105656320 is an abundant number, because the sum of its proper divisors (415716869740204032) is greater than itself. Its abundance is 276718149634547712

Bases of 138998720105656320

• Binary: 111101101110100101001100101111000001000011011000000000000₂
• Hexadecimal: 0x1EDD2997821B000
• Base-36: 120MXMHIB11C

Squares and roots of 138998720105656320

• 138998720105656320 squared (138998720105656320²) is 19320644191010586490984057955942400
• 138998720105656320 cubed (138998720105656320³) is 2685544814167255193947631245960898736019596115968000
• The square root of 138998720105656320 is 372825321.1701913361
• The cube root of 138998720105656320 is 518008.5568092721

Scales and comparisons

• 138,998,720,105,656,320 seconds is equal to 4,419,729,348 years, 4 weeks, 4 days, 8 hours, 32 minutes.
• To count from 1 to 138,998,720,105,656,320 would take you about thirteen billion, two hundred fifty-nine million, one hundred eighty-eight thousand and forty-four 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 138998720105656320 cubic inches would be around 43167.4 feet tall.

Recreational maths with 138998720105656320

• 138998720105656320 backwards is 023656501027899831
• The number of decimal digits it has is: 18
• The sum of 138998720105656320's digits is 75
• More coming soon!