138056387040

Names of 138056387040

• Cardinal: 138056387040 can be written as One hundred thirty-eight billion, fifty-six million, three hundred eighty-seven thousand and forty.

Scientific notation

• Scientific notation: 1.3805638704 × 10¹¹

Factors of 138056387040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 154

Divisors of 138056387040

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 31 32 33 36 39 40 44 45 48 52 54 55 60 62 65 66 72 78 80 81 88 89 90 93 96 99 104 108 110 117 120 124 130 132 135 143 144 155 156 160 162 165 176 178 180 186 195 198 208 216 220 234 240 243 248 260 264 267 270 279 286 288 297 310 312 324 330 341 351 352 356 360 372 390 396 403 405 416 429 432 440 445 465 468 480 486 495 496 520 528 534 540 558 572 585 594 620 624 648 660 682 702 712 715 720 729 744 780 792 801 806 810 837 858 864 880 890 891 930 936 972 979 990 992 1023 1040 1053 1056 1068 1080 1116 1144 1157 1170 1188 1209 1215 1240 1248 1287 1296 1320 1335 1364 1395 1404 1424 1430 1440 1458 1485 1488 1560 1584 1602 1612 1620 1674 1705 1716 1755 1760 1780 1782 1860 1872 1944 1958 1980 2015 2046 2080 2106 2136 2145 2160 2187 2232 2288 2314 2340 2376 2403 2418 2430 2480 2511 2574 2592 2640 2670 2673 2728 2759 2790 2808 2848 2860 2916 2937 2970 2976 3069 3120 3159 3168 3204 3224 3240 3348 3410 3432 3471 3510 3560 3564 3627 3645 3720 3744 3861 3888 3916 3960 4005 4030 4092 4185 4212 4272 4290 4320 4374 4433 4455 4464 4576 4628 4680 4752 4806 4836 4860 4895 4960 5022 5115 5148 5265 5280 5340 5346 5456 5518 5580 5616 5720 5785 5832 5874 5940 6045 6138 6240 6318 6408 6435 6448 6480 6696 6820 6864 6942 7020 7120 7128 7209 7254 7290 7440 7533 7722 7776 7832 7920 8010 8019 8060 8184 8277 8370 8424 8544 8580 8748 8811 8866 8910 8928 9207 9256 9360 9477 9504 9612 9672 9720 9790 10044 10230 10296 10413 10530 10680 10692 10881 10912 10935 11036 11160 11232 11440 11570 11583 11664 11748 11880 12015 12090 12276 12555 12636 12727 12816 12870 12896 12960 13299 13365 13392 13640 13728 13795 13884 14040 14240 14256 14418 14508 14580 14685 14880 15066 15345 15444 15664 15795 15840 16020 16038 16120 16368 16554 16740 16848 17160 17355 17496 17622 17732 17820 18135 18414 18512 18720 18954 19224 19305 19344 19440 19580 20088 20460 20592 20826 21060 21360 21384 21627 21762 21870 22072 22165 22320 22599 22880 23140 23166 23328 23496 23760 24030 24057 24180 24552 24831 25110 25272 25454 25632 25740 26433 26598 26730 26784 27280 27590 27621 27768 28080 28431 28512 28836 29016 29160 29370 30132 30349 30690 30888 31239 31328 31590 32040 32076 32240 32643 32736 33108 33480 33696 34320 34710 34749 34992 35244 35464 35640 35867 36045 36270 36828 37024 37665 37908 38181 38448 38610 38688 38880 39160 39897 40095 40176 40920 41184 41385 41652 42120 42720 42768 43254 43524 43740 44055 44144 44330 44640 45198 46035 46280 46332 46992 47385 47520 48060 48114 48360 49104 49662 50220 50544 50908 51480 52065 52866 53196 53460 54405 54560 55180 55242 55536 56160 56862 57672 57915 58032 58320 58740 60264 60698 61380 61776 62478 63180 63635 64080 64152 64480 64881 65286 66216 66495 66960 67797 68640 69420 69498 69984 70488 70928 71280 71734 72090 72540 73656 74493 75330 75816 76362 76896 77220 78320 79299 79794 80190 80352 81840 82770 82863 83304 84240 85536 86508 87048 87480 88110 88288 88660 90396 91047 92070 92560 92664 93717 93984 94770 96120 96228 96720 97929 98208 99324 100440 101088 101816 102960 104130 104247 105732 106392 106920 107601 108135 108810 110360 110484 111072 112995 113724 114543 115344 115830 116064 116640 117480 119691 120285 120528 121396 122760 123552 124155 124956 126360 127270 128160 128304 129762 130572 132165 132432 132990 133920 135594 138105 138840 138996 140976 141856 142155 142560 143468 144180 145080 147312 148986 150660 151632 151745 152724 154440 156195 156640 158598 159588 160380 163215 163680 165540 165726 166608 168480 173016 173745 174096 174960 176220 177320 179335 180792 182094 184140 185120 185328 187434 189540 190905 192240 192456 193440 194643 195858 198648 199485 200880 203632 205920 208260 208494 211464 212784 213840 215202 216270 217620 220720 220968 223479 225990 227448 229086 230688 231660 234960 237897 239382 240570 241056 242792 245520 248310 248589 249912 252720 254540 256608 259524 261144 264330 264864 265980 271188 273141 276210 277680 277992 281151 281952 284310 286936 288360 290160 293787 294624 297972 301320 303264 303490 305448 308880 312390 312741 317196 319176 320760 322803 324405 326430 331080 331452 333216 338985 343629 346032 347490 348192 349920 352440 354640 358670 359073 361584 364188 368280 370656 372465 374868 379080 381810 384480 384912 389286 391716 394537 396495 397296 398970 401760 407264 414315 416520 416988 422928 425568 427680 430404 432540 435240 441440 441936 446958 451980 454896 455235 458172 463320 468585 469920 475794 478764 481140 485584 489645 491040 496620 497178 499824 505440 509080 519048 521235 522288 528660 531960 538005 542376 546282 552420 555360 555984 562302 568620 572715 573872 576720 580320 587574 595944 598455 602640 606980 610896 617760 624780 625482 634392 638352 641520 645606 648810 652860 662160 662904 670437 677970 687258 692064 694980 704880 709280 713691 717340 718146 723168 728376 736560 744930 745767 749736 758160 763620 769824 778572 783432 789074 792990 794592 797940 819423 828630 833040 833976 843453 845856 860808 865080 870480 881361 883872 893916 903960 909792 910470 916344 926640 937170 951588 957528 962280 968409 971168 973215 979290 993240 994356 999648 1018160 1030887 1038096 1042470 1044576 1057320 1063920 1076010 1077219 1084752 1092564 1104840 1111968 1117395 1124604 1137240 1145430 1147744 1153440 1175148 1183611 1189485 1191888 1196910 1205280 1213960 1221792 1242945 1249560 1250964 1268784 1276704 1283040 1291212 1297620 1305720 1324320 1325808 1340874 1355940 1365705 1374516 1389960 1405755 1409760 1427382 1434680 1436292 1456752 1468935 1473120 1489860 1491534 1499472 1516320 1527240 1557144 1563705 1566864 1578148 1585980 1595880 1614015 1638846 1657260 1666080 1667952 1686906 1718145 1721616 1730160 1740960 1762722 1787832 1795365 1807920 1820940 1832688 1853280 1874340 1903176 1915056 1924560 1936818 1946430 1958580 1972685 1986480 1988712 2011311 2036320 2061774 2076192 2084940 2114640 2127840 2141073 2152020 2154438 2169504 2185128 2209680 2234790 2249208 2274480 2290860 2350296 2367222 2378970 2383776 2393820 2427920 2458269 2485890 2499120 2501928 2530359 2537568 2582424 2595240 2611440 2651616 2681748 2711880 2731410 2749032 2779920 2811510 2854764 2869360 2872584 2905227 2913504 2937870 2979720 2983068 2998944 3054480 3092661 3114288 3127410 3133728 3156296 3171960 3191760 3228030 3231657 3277692 3314520 3335904 3352185 3373812 3436290 3443232 3460320 3525444 3550833 3568455 3575664 3590730 3615840 3641880 3665376 3728835 3748680 3806352 3830112 3849120 3873636 3892860 3917160 3945370 3972960 3977424 4022622 4097115 4123548 4169880 4217265 4229280 4282146 4304040 4308876 4370256 4406805 4419360 4469580 4498416 4548960 4581720 4700592 4734444 4757940 4787640 4842045 4855840 4916538 4971780 4998240 5003856 5060718 5154435 5164848 5190480 5222880 5363496 5386095 5423760 5462820 5498064 5559840 5623020 5709528 5738720 5745168 5810454 5875740 5918055 5959440 5966136 6033933 6108960 6185322 6228576 6254820 6312592 6343920 6383520 6456060 6463314 6555384 6629040 6704370 6747624 6872580 7050888 7101666 7136910 7151328 7181460 7283760 7374807 7457670 7497360 7612704 7747272 7785720 7834320 7890740 7954848 8045244 8194230 8247096 8339760 8434530 8564292 8608080 8617752 8715681 8740512 8813610 8939160 8996832 9163440 9277983 9401184 9468888 9515880 9575280 9684090 9694971 9833076 9943560 10007712 10056555 10121436 10308870 10329696 10380960 10652499 10705365 10726992 10772190 10847520 10925640 10996128 11246040 11419056 11490336 11620908 11751480 11836110 11918880 11932272 12067866 12291345 12370644 12509640 12625184 12651795 12687840 12912120 12926628 13110768 13258080 13408740 13495248 13745160 14101776 14203332 14273820 14362920 14526135 14567520 14749614 14915340 14994720 15463305 15494544 15571440 15668640 15781480 16090488 16158285 16388460 16494192 16679520 16869060 17128584 17216160 17235504 17431362 17627220 17754165 17878320 18326880 18555966 18937776 19031760 19150560 19368180 19389942 19666152 19887120 20113110 20242872 20617740 21304998 21410730 21453984 21544380 21851280 22124421 22492080 22838112 23241816 23502960 23672220 23864544 24135732 24582690 24741288 25019280 25303590 25824240 25853256 26147043 26221536 26817480 26990496 27490320 27833949 28203552 28406664 28547640 28725840 29052270 29499228 29830680 30169665 30926610 30989088 31142880 31562960 31957497 32180976 32316570 32776920 32988384 33738120 34257168 34471008 34862724 35254440 35508330 35756640 36874035 37111932 37875552 38063520 38736360 38779884 39332304 39774240 40226220 40485744 41235480 42609996 42821460 43088760 43578405 43702560 44248842 44984160 46389915 46483632 47005920 47344440 48271464 48474855 49165380 49482576 50038560 50607180 51648480 51706512 52294086 53262495 53634960 54980640 55667898 56813328 57095280 57451680 58104540 58998456 59661360 60339330 61853220 63125920 63914994 64361952 64633140 65553840 66373263 67476240 68514336 69725448 70508880 71016660 73748070 74223864 77472720 77559768 78441129 78664608 80452440 80971488 82470960 85219992 85642920 86177520 87156810 88497684 92779830 92967264 94688880 95872491 96542928 96949710 98330760 98965152 101214360 103413024 104588172 106524990 107269920 110622105 111335796 113626656 114190560 116209080 117996912 119322720 120678660 123706440 127829988 129266280 130735215 131107680 132746526 134952480 139169745 139450896 141017760 142033320 147496140 148447728 154945440 155119536 156882258 159787485 160904880 164941920 170439984 171285840 172355040 174313620 176995368 185559660 189377760 191744982 193085856 193899420 196661520 202428720 209176344 213049980 221244210 222671592 232418160 235993824 241357320 247412880 255659976 258532560 261470430 265493052 278339490 278901792 284066640 287617473 294992280 296895456 310239072 313764516 319574970 321809760 331866315 340879968 342571680 348627240 353990736 371119320 383489964 387798840 392205645 393323040 404857440 418352688 426099960 442488420 445343184 464836320 479362455 482714640 494825760 511319952 517065120 522940860 530986104 556678980 568133280 575234946 589984560 627529032 639149940 663732630 697254480 707981472 742238640 766979928 775597680 784411290 836705376 852199920 862852419 884976840 890686368 958724910 965429280 1022639904 1045881720 1061972208 1113357960 1150469892 1179969120 1255058064 1278299880 1327465260 1394508960 1438087365 1484477280 1533959856 1551195360 1568822580 1704399840 1725704838 1769953680 1917449820 2091763440 2123944416 2226715920 2300939784 2510116128 2556599760 2654930520 2876174730 3067919712 3137645160 3451409676 3539907360 3834899640 4183526880 4314262095 4453431840 4601879568 5113199520 5309861040 5752349460 6275290320 6902819352 7669799280 8628524190 9203759136 10619722080 11504698920 12550580640 13805638704 15339598560 17257048380 23009397840 27611277408 34514096760 46018795680 69028193520 138056387040
• Sum of all divisors σ(n): 599884185600
• Sum of proper divisors (its aliquot sum) s(n): 461827798560
• 138056387040 is an abundant number, because the sum of its proper divisors (461827798560) is greater than itself. Its abundance is 323771411520

Bases of 138056387040

• Binary: 10000000100100110011010100100111100000₂
• Hexadecimal: 0x2024CD49E0
• Base-36: 1RF77I00

Squares and roots of 138056387040

• 138056387040 squared (138056387040²) is 19059566002538279961600
• 138056387040 cubed (138056387040³) is 2631294820860850400794525937664000
• The square root of 138056387040 is 371559.3990736879
• The cube root of 138056387040 is 5168.3529933463

Scales and comparisons

• 138,056,387,040 seconds is equal to 4,389 years, 39 weeks, 5 days, 20 hours, 24 minutes.
• To count from 1 to 138,056,387,040 would take you about eight thousand, seven hundred seventy-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 138056387040 cubic inches would be around 430.7 feet tall.

Recreational maths with 138056387040

• 138056387040 backwards is 040783650831
• 138056387040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138056387040's digits is 45
• More coming soon!