138014735040
138,014,735,040 is an even composite number composed of eight prime numbers multiplied together.
138014735040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138014735040:
26 × 32 × 5 × 7 × 13 × 61 × 89 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 61 × 89 × 97)See below for interesting mathematical facts about the number 138014735040 from the Numbermatics database.
Names of 138014735040
- Cardinal: 138014735040 can be written as One hundred thirty-eight billion, fourteen million, seven hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 1.3801473504 × 1011
Factors of 138014735040
Divisors of 138014735040
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 61 63 64 65 70 72 78 80 84 89 90 91 96 97 104 105 112 117 120 122 126 130 140 144 156 160 168 178 180 182 183 192 194 195 208 210 224 234 240 244 252 260 267 273 280 288 291 305 312 315 320 336 356 360 364 366 388 390 416 420 427 445 448 455 468 480 485 488 504 520 534 546 549 560 576 582 585 610 623 624 630 672 679 712 720 728 732 776 780 793 801 819 832 840 854 873 890 910 915 936 960 970 976 1008 1040 1068 1092 1098 1120 1157 1164 1170 1220 1246 1248 1260 1261 1281 1335 1344 1358 1365 1424 1440 1455 1456 1464 1552 1560 1586 1602 1638 1680 1708 1746 1780 1820 1830 1869 1872 1940 1952 2016 2037 2080 2135 2136 2184 2196 2240 2314 2328 2340 2379 2440 2492 2496 2520 2522 2562 2670 2716 2730 2745 2848 2880 2910 2912 2928 3104 3115 3120 3172 3204 3276 3360 3395 3416 3471 3492 3560 3640 3660 3738 3744 3783 3843 3880 3904 3965 4005 4032 4074 4095 4160 4270 4272 4365 4368 4392 4628 4656 4680 4758 4880 4984 5040 5044 5124 5340 5429 5432 5460 5490 5551 5607 5696 5785 5820 5824 5856 5917 6111 6208 6230 6240 6305 6344 6405 6408 6552 6720 6790 6832 6942 6984 7120 7137 7280 7320 7476 7488 7566 7686 7760 7930 8010 8099 8148 8190 8540 8544 8633 8730 8736 8784 8827 9256 9312 9345 9360 9516 9760 9968 10080 10088 10185 10248 10413 10680 10858 10864 10920 10980 11102 11214 11349 11570 11640 11712 11834 11895 12222 12460 12480 12610 12688 12810 12816 13104 13580 13664 13884 13968 14240 14274 14560 14640 14952 15132 15372 15520 15860 16020 16198 16287 16296 16380 16653 17080 17088 17266 17355 17460 17472 17568 17654 17751 18512 18624 18690 18720 18915 19032 19215 19520 19936 20160 20176 20370 20496 20826 21360 21716 21728 21840 21960 22204 22428 22698 23140 23280 23668 23790 24297 24444 24920 25220 25376 25620 25632 25899 26208 26481 27145 27160 27328 27755 27768 27936 28035 28480 28548 29120 29280 29585 29904 30264 30555 30744 31040 31720 32040 32396 32574 32592 32760 33306 34160 34532 34710 34920 35136 35308 35502 35685 37024 37380 37440 37830 38003 38064 38430 39872 40352 40495 40740 40992 41419 41652 42720 43165 43432 43456 43680 43920 44135 44408 44856 45396 46280 46560 47336 47580 48594 48861 48888 49840 49959 50440 50752 51240 51264 51798 52065 52416 52962 53253 54290 54320 55510 55536 55872 56070 56745 57096 58560 59170 59808 60431 60528 61110 61488 63440 64080 64792 65148 65184 65520 66612 68320 69064 69420 69840 70577 70616 71004 71370 72891 74048 74760 75660 76006 76128 76860 76921 77697 79443 80704 80990 81435 81480 81984 82838 83265 83304 85440 86330 86864 87360 87840 88270 88755 88816 89712 90792 92560 93120 94672 95160 97188 97722 97776 99680 99918 100880 102480 103596 104130 105924 106506 108580 108640 111020 111072 112140 112229 113490 114009 114192 118340 119616 120862 121056 121485 122220 122976 124257 126880 128160 129495 129584 130296 130368 131040 132405 133224 136640 138128 138840 139680 141154 141232 142008 142740 145782 149520 151320 152012 152256 153720 153842 155394 158886 161980 162870 162960 165676 166530 166608 172660 173728 175680 176540 177510 177632 179424 181293 181584 185120 189344 190015 190320 194376 195444 195552 199360 199836 201760 204960 207095 207192 208260 211731 211848 213012 217160 217280 222040 222144 224280 224458 226980 228018 228384 230763 236680 241724 242112 242970 244305 244440 245952 248514 249795 253760 256320 258990 259168 260592 262080 264810 266265 266448 276256 277680 279360 282308 282464 284016 285480 291564 299040 302155 302640 304024 307440 307684 310788 317772 323960 325740 325920 331352 333060 333216 336687 342027 345320 347456 352885 353080 355020 355264 358848 362586 363168 364455 370240 372771 378688 380030 380640 384605 388485 388752 390888 391104 397215 399672 403520 409920 414190 414384 416520 423462 423696 426024 434320 444080 448560 448916 453960 456036 456768 461526 473360 483448 485940 488610 488880 494039 497028 499590 517980 518336 521184 526613 529620 532530 532896 538447 543879 552512 555360 561145 564616 564928 568032 570045 570960 583128 598080 604310 605280 608048 614880 615368 621285 621576 635193 635544 647920 651480 651840 662704 666120 666432 673374 684054 690640 692289 705770 706160 710040 725172 726336 728910 745542 760060 761280 769210 776970 777504 781776 785603 794430 799344 828380 828768 833040 846924 847392 852048 868640 888160 897120 897832 906465 907920 912072 923052 946720 966896 971880 977220 977760 988078 994056 999180 1010061 1035960 1042368 1053226 1058655 1059240 1065060 1065792 1076894 1087758 1110720 1122290 1129232 1136064 1140090 1141920 1153815 1166256 1208620 1210560 1216096 1229760 1230736 1242570 1243152 1270386 1271088 1295840 1302960 1325408 1332240 1346748 1368108 1381280 1384578 1411540 1412320 1420080 1450344 1457820 1482117 1491084 1520120 1538420 1553940 1555008 1563552 1571206 1579839 1588860 1598688 1615341 1656760 1657536 1666080 1683435 1693848 1694784 1704096 1710135 1737280 1776320 1794240 1795664 1812930 1815840 1824144 1846104 1863855 1893440 1933792 1943760 1954440 1955520 1976156 1988112 1998360 2020122 2071920 2106452 2117310 2118480 2130120 2153788 2175516 2244580 2258464 2280180 2283840 2307630 2332512 2356809 2417240 2432192 2461472 2470195 2485140 2486304 2540772 2542176 2591680 2605920 2633065 2650816 2664480 2692235 2693496 2719395 2736216 2762560 2769156 2823080 2824640 2840160 2900688 2915640 2964234 2982168 3040240 3076840 3107880 3127104 3142412 3159678 3175965 3177720 3197376 3230682 3313520 3332160 3366870 3387696 3408192 3420270 3461445 3591328 3625860 3631680 3648288 3686291 3692208 3727710 3867584 3887520 3908880 3928015 3952312 3976224 3996720 4040244 4143840 4212904 4234620 4236960 4260240 4307576 4351032 4446351 4489160 4516928 4560360 4615260 4665024 4713618 4739517 4834480 4846023 4922944 4940390 4970280 4972608 5050305 5081544 5084352 5211840 5266130 5328960 5384470 5386992 5438790 5472432 5538312 5646160 5680320 5801376 5831280 5928468 5964336 6080480 6153680 6215760 6284824 6319356 6351930 6355440 6461364 6627040 6733740 6775392 6840540 6845969 6922890 7070427 7182656 7251720 7296576 7372582 7384416 7410585 7455420 7775040 7817760 7856030 7899195 7904624 7952448 7993440 8076705 8080488 8287680 8425808 8469240 8473920 8520480 8615152 8702064 8892702 8978320 9120720 9230520 9427236 9479034 9668960 9692046 9880780 9940560 10100610 10163088 10532260 10768940 10773984 10877580 10944864 11058873 11076624 11292320 11602752 11662560 11784045 11856936 11928672 12160960 12307360 12431520 12569648 12638712 12703860 12710880 12922728 13254080 13467480 13550784 13681080 13691938 13845780 14140854 14503440 14745164 14768832 14821170 14910840 15635520 15712060 15798390 15809248 15986880 16153410 16160976 16851616 16938480 17040960 17230304 17404128 17785404 17956640 18241440 18431455 18461040 18854472 18958068 19337920 19384092 19761560 19881120 20201220 20326176 20537907 21064520 21537880 21547968 21755160 21889728 22117746 22153248 22231755 22584640 23325120 23568090 23697585 23713872 23857344 24230115 24614720 24863040 25139296 25277424 25407720 25421760 25845456 26934960 27362160 27383876 27691560 28281708 29006880 29490328 29642340 29821680 31424120 31596780 31618496 32306820 32321952 33176619 33703232 33876960 34229845 34460608 34808256 35352135 35570808 35913280 36482880 36862910 36922080 37708944 37916136 38768184 39523120 39762240 40402440 40652352 41075814 42129040 43075760 43510320 44235492 44306496 44463510 47136180 47395170 47427744 47921783 48460230 50278592 50554848 50815440 51690912 53869920 54724320 54767752 55294365 55383120 56563416 58013760 58980656 59284680 59643360 61613721 62848240 63193560 64613640 64643904 66353238 67753920 68459690 70704270 71141616 73725820 73844160 75417888 75832272 77536368 79046240 80804880 82151628 84258080 86151520 87020640 88470984 88927020 94272360 94790340 94855488 95843566 96920460 101109696 101630880 102689535 103381824 107739840 109448640 109535504 110588730 110766240 113126832 117961312 118569360 119286720 123227442 125696480 126387120 129227280 132706476 136919380 141408540 142283232 143765349 147451640 150835776 151664544 155072736 158092480 161609760 164303256 165883095 168516160 172303040 174041280 176941968 177854040 188544720 189580680 191687132 193840920 203261760 205379070 219071008 221177460 221532480 226253664 235922624 237138720 239608915 246454884 251392960 252774240 258454560 265412952 273838760 282817080 284566464 287530698 294903280 303329088 308068605 310145472 323219520 328606512 331766190 353883936 355708080 377089440 379161360 383374264 387681840 410758140 431296047 438142016 442354920 452507328 474277440 479217830 492909768 505548480 516909120 530825904 547677520 565634160 575061396 589806560 616137210 657213024 663532380 707767872 711416160 718826745 754178880 758322720 766748528 775363680 821516280 862592094 884709840 958435660 985819536 1061651808 1095355040 1131268320 1150122792 1179613120 1232274420 1314426048 1327064760 1422832320 1437653490 1516645440 1533497056 1550727360 1643032560 1725184188 1769419680 1916871320 1971639072 2123303616 2156480235 2190710080 2262536640 2300245584 2464548840 2654129520 2875306980 3066994112 3286065120 3450368376 3538839360 3833742640 3943278144 4312960470 4600491168 4929097680 5308259040 5750613960 6572130240 6900736752 7667485280 8625920940 9200982336 9858195360 10616518080 11501227920 13801473504 15334970560 17251841880 19716390720 23002455840 27602947008 34503683760 46004911680 69007367520 138014735040
- Sum of all divisors σ(n): 606703668480
- Sum of proper divisors (its aliquot sum) s(n): 468688933440
- 138014735040 is an abundant number, because the sum of its proper divisors (468688933440) is greater than itself. Its abundance is 330674198400
Bases of 138014735040
- Binary: 100000001000100101000110111010110000002
- Hexadecimal: 0x202251BAC0
- Base-36: 1REIER40
Squares and roots of 138014735040
- 138014735040 squared (1380147350402) is 19048067088161403801600
- 138014735040 cubed (1380147350403) is 2628913932196740466432272728064000
-
The
square root of 138014735040 is 371503.3445879055 -
The
cube root of 138014735040 is 5167.8331721907
Scales and comparisons
How big is 138014735040?- 138,014,735,040 seconds is equal to 4,388 years, 22 weeks, 6 days, 18 hours, 24 minutes.
-
To count from 1 to 138,014,735,040 would take you about eight thousand, seven hundred seventy-six 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 138014735040 cubic inches would be around 430.7 feet tall.
Recreational maths with 138014735040
- 138014735040 backwards is 040537410831
- 138014735040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138014735040's digits is 36
- More coming soon!
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The information we have on file for 138014735040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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