138683932800

Names of 138683932800

• Cardinal: 138683932800 can be written as One hundred thirty-eight billion, six hundred eighty-three million, nine hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.386839328 × 10¹¹

Factors of 138683932800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 264

Divisors of 138683932800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 37 40 42 48 50 51 56 60 64 68 70 74 75 80 84 85 96 100 102 105 111 112 119 120 128 136 140 148 150 160 168 170 175 185 192 193 200 204 210 222 224 238 240 255 259 272 280 289 296 300 320 336 340 350 357 370 384 386 400 408 420 425 444 448 476 480 510 518 525 544 555 560 578 579 592 595 600 629 640 672 680 700 714 740 772 777 800 816 840 850 867 888 896 925 952 960 965 1020 1036 1050 1088 1110 1120 1156 1158 1184 1190 1200 1258 1275 1295 1344 1351 1360 1400 1428 1445 1480 1544 1554 1600 1632 1680 1700 1734 1776 1785 1850 1887 1904 1920 1930 2023 2040 2072 2100 2176 2220 2240 2312 2316 2368 2380 2400 2516 2550 2590 2688 2702 2720 2775 2800 2856 2890 2895 2960 2975 3088 3108 3145 3200 3264 3281 3360 3400 3468 3552 3570 3700 3774 3808 3860 3885 4046 4053 4080 4144 4200 4335 4403 4440 4480 4624 4632 4736 4760 4800 4825 5032 5100 5180 5404 5440 5550 5600 5712 5780 5790 5920 5950 6069 6176 6216 6290 6475 6528 6562 6720 6755 6800 6936 7104 7140 7141 7225 7400 7548 7616 7720 7770 8092 8106 8160 8288 8400 8670 8806 8880 8925 9248 9264 9435 9520 9600 9650 9843 10064 10115 10200 10360 10693 10808 10880 11100 11200 11424 11560 11580 11840 11900 12138 12352 12432 12580 12950 13124 13209 13440 13510 13600 13872 14208 14280 14282 14450 14475 14800 15096 15232 15440 15540 15725 16184 16212 16320 16405 16576 16800 17340 17612 17760 17850 18496 18528 18870 19040 19300 19425 19686 20128 20230 20265 20400 20720 21386 21423 21616 21675 22015 22200 22400 22848 22967 23120 23160 23680 23800 24276 24704 24864 25160 25900 26248 26418 27020 27200 27744 28560 28564 28900 28950 29600 30192 30345 30880 31080 31450 32079 32368 32424 32640 32810 33152 33600 33775 34680 35224 35520 35700 35705 36992 37056 37740 38080 38600 38850 39372 40256 40460 40530 40800 41440 42772 42846 43232 43350 44030 44400 45696 45934 46240 46320 47175 47600 48552 49215 49728 49987 50320 50575 51800 52496 52836 53465 54040 54400 55488 55777 57120 57128 57800 57900 59200 60384 60690 61760 62160 62900 64158 64736 64848 65620 66045 67200 67550 68901 69360 70448 71040 71400 71410 74112 74851 75480 76160 77200 77700 78744 80512 80920 81060 81600 82025 82880 85544 85692 86464 86700 88060 88800 91868 92480 92640 94350 95200 97104 98430 99456 99974 100640 101150 101325 103600 104992 105672 106930 107115 108080 110075 110976 111554 114240 114256 114835 115600 115800 118400 120768 121380 121397 123520 124320 125800 128316 129472 129696 131240 132090 135100 137802 138720 140896 142800 142820 149702 149961 150960 151725 154400 155400 157488 160395 161840 162120 163200 164050 165760 167331 171088 171384 172928 173400 176120 177600 178525 183736 184960 185280 188700 190400 194208 196860 199948 201280 202300 202650 207200 209984 211344 213860 214230 216160 220150 223108 224553 228480 228512 229670 231200 231600 241536 242760 242794 246075 248640 249935 251600 256632 258944 259392 262480 264180 267325 270200 275604 277440 278885 281792 285600 285640 299404 299922 301920 303450 308800 310800 314976 320790 323680 324240 328100 330225 334662 342176 342768 344505 346800 352240 355200 357050 364191 367472 370560 374255 377400 380800 388416 390439 393720 399896 402560 404600 405300 414400 419968 422688 427720 428460 432320 440300 446216 449106 457024 459340 462400 463200 485520 485588 492150 497280 499870 503200 513264 518784 524960 528360 534650 535575 540400 551208 554880 557770 563584 571200 571280 574175 598808 599844 603840 606900 606985 617600 621600 629952 641580 647360 648480 656200 660450 669324 684352 685536 689010 693600 704480 714100 728382 734944 748510 749805 754800 776832 780878 787440 799792 801975 809200 810600 828800 836655 845376 849779 855440 856920 864640 880600 892432 898212 914048 918680 924800 926400 971040 971176 984300 999740 1006400 1026528 1049920 1056720 1069300 1071150 1080800 1102416 1115540 1122765 1142400 1142560 1148350 1171317 1197616 1199688 1207680 1213800 1213970 1243200 1249675 1259904 1283160 1294720 1296960 1312400 1320900 1338648 1368704 1371072 1378020 1387200 1394425 1408960 1428200 1456764 1469888 1497020 1499610 1509600 1561756 1574880 1599584 1603950 1618400 1621200 1673310 1690752 1699558 1710880 1713840 1722525 1761200 1784864 1796424 1820955 1837360 1852800 1871275 1942080 1942352 1952195 1968600 1999480 2012800 2053056 2063749 2099840 2113440 2138600 2142300 2161600 2204832 2231080 2245530 2285120 2296700 2342634 2395232 2399376 2427600 2427940 2486400 2499350 2549337 2566320 2593920 2624800 2641800 2677296 2742144 2756040 2774400 2788850 2817920 2856400 2913528 2939776 2994040 2999220 3019200 3034925 3123512 3149760 3199168 3207900 3236800 3242400 3346620 3399116 3421760 3427680 3445050 3522400 3569728 3592848 3641910 3674720 3742550 3749025 3884160 3884704 3904390 3937200 3998960 4106112 4127498 4183275 4226880 4248895 4277200 4284600 4323200 4409664 4462160 4491060 4570240 4593400 4685268 4790464 4798752 4855200 4855880 4998700 5098674 5132640 5249600 5283600 5354592 5512080 5577700 5613825 5712800 5827056 5856585 5988080 5998440 6038400 6069850 6191247 6247024 6299520 6398336 6415800 6473600 6484800 6693240 6798232 6843520 6855360 6890100 7044800 7139456 7185696 7283820 7349440 7485100 7498050 7769408 7808780 7874400 7997920 8254996 8366550 8453760 8497790 8554400 8569200 8819328 8924320 8982120 9104775 9186800 9370536 9580928 9597504 9710400 9711760 9760975 9997400 10197348 10265280 10318745 10499200 10567200 10709184 11024160 11155400 11227650 11425600 11654112 11713170 11976160 11996880 12139700 12382494 12494048 12746685 12831600 12969600 13386480 13596464 13710720 13780200 14089600 14371392 14446243 14567640 14698880 14970200 14996100 15538816 15617560 15748800 15995840 16509992 16733100 16995580 17108800 17138400 17848640 17964240 18209550 18373600 18741072 19195008 19420800 19423520 19521950 19994800 20394696 20530560 20637490 21134400 21244475 21418368 22048320 22310800 22455300 22851200 23308224 23426340 23952320 23993760 24279400 24764988 24988096 25493370 25663200 26772960 27192928 27560400 28742784 28892486 29135280 29282925 29940400 29992200 30956235 31235120 31497600 31991680 33019984 33466200 33991160 34217600 34276800 35697280 35928480 36419100 36747200 37482144 38847040 39043900 39989600 40789392 41274980 42268800 42488950 43338729 44096640 44621600 44910600 46616448 46852680 47904640 47987520 48558800 49529976 49976192 50986740 51326400 51593725 53545920 54385856 55120800 57784972 58270560 58565850 59880800 59984400 61912470 62470240 63733425 66039968 66932400 67982320 68553600 71856960 72231215 72838200 73494400 74964288 77694080 78087800 79979200 81578784 82549960 84977900 86677458 89243200 89821200 93705360 95975040 97117600 99059952 101973480 102652800 103187450 107091840 108771712 110241600 115569944 116541120 117131700 119761600 119968800 123824940 124940480 127466850 132079936 133864800 135964640 143713920 144462430 145676400 149928576 154781175 156175600 159958400 163157568 165099920 169955800 173354916 178486400 179642400 187410720 194235200 198119904 203946960 206374900 216693645 220483200 231139888 233082240 234263400 239523200 239937600 247649880 249880960 254933700 264159872 267729600 271929280 288924860 291352800 309562350 312351200 326315136 330199840 339911600 346709832 359284800 361156075 374821440 388470400 396239808 407893920 412749800 433387290 462279776 468526800 479875200 495299760 509867400 535459200 543858560 577849720 582705600 619124700 624702400 660399680 679823200 693419664 718569600 722312150 749642880 792479616 815787840 825499600 866774580 924559552 937053600 990599520 1019734800 1083468225 1155699440 1165411200 1238249400 1249404800 1320799360 1359646400 1386839328 1444624300 1631575680 1650999200 1733549160 1849119104 1874107200 1981199040 2039469600 2166936450 2311398880 2476498800 2719292800 2773678656 2889248600 3301998400 3467098320 3748214400 3962398080 4078939200 4333872900 4622797760 4952997600 5547357312 5778497200 6603996800 6934196640 8157878400 8667745800 9245595520 9905995200 11556994400 13868393280 17335491600 19811990400 23113988800 27736786560 34670983200 46227977600 69341966400 138683932800
• Sum of all divisors σ(n): 572500083840
• Sum of proper divisors (its aliquot sum) s(n): 433816151040
• 138683932800 is an abundant number, because the sum of its proper divisors (433816151040) is greater than itself. Its abundance is 295132218240

Bases of 138683932800

• Binary: 10000001001010001101001110000010000000₂
• Hexadecimal: 0x204A34E080
• Base-36: 1RPKTZEO

Squares and roots of 138683932800

• 138683932800 squared (138683932800²) is 19233233216874915840000
• 138683932800 cubed (138683932800³) is 2667340422975808654360215552000000
• The square root of 138683932800 is 372402.9172818067
• The cube root of 138683932800 is 5176.1722042965

Scales and comparisons

• 138,683,932,800 seconds is equal to 4,409 years, 37 weeks, 3 days, 2 hours, 40 minutes.
• To count from 1 to 138,683,932,800 would take you about eight thousand, eight hundred nineteen 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 138683932800 cubic inches would be around 431.3 feet tall.

Recreational maths with 138683932800

• 138683932800 backwards is 008239386831
• 138683932800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138683932800's digits is 51
• More coming soon!