1138931405040

Names of 1138931405040

• Cardinal: 1138931405040 can be written as One trillion, one hundred thirty-eight billion, nine hundred thirty-one million, four hundred five thousand and forty.

Scientific notation

• Scientific notation: 1.13893140504 × 10¹²

Factors of 1138931405040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 251

Divisors of 1138931405040

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 33 38 39 40 44 48 52 55 57 60 61 65 66 76 78 80 88 95 104 110 114 120 121 122 130 132 137 143 152 156 165 176 183 190 195 208 209 220 228 240 242 244 247 260 264 274 285 286 304 305 312 330 361 363 366 380 390 411 418 429 440 456 484 488 494 520 528 548 570 572 605 610 624 627 660 671 685 715 722 726 732 741 760 780 793 822 836 858 880 912 915 968 976 988 1040 1045 1083 1096 1140 1144 1159 1210 1220 1235 1254 1320 1342 1370 1430 1444 1452 1464 1482 1507 1520 1560 1573 1586 1644 1672 1716 1781 1805 1815 1830 1936 1976 2013 2055 2090 2145 2166 2192 2280 2288 2299 2318 2379 2420 2440 2470 2508 2603 2640 2684 2717 2740 2860 2888 2904 2928 2964 3014 3120 3135 3146 3172 3288 3344 3355 3432 3477 3562 3610 3630 3660 3705 3952 3965 3971 4026 4110 4180 4290 4332 4521 4560 4598 4636 4693 4719 4758 4840 4880 4940 5016 5206 5343 5368 5415 5434 5480 5720 5776 5795 5808 5928 6028 6270 6292 6344 6576 6710 6864 6897 6954 7124 7220 7260 7320 7381 7410 7535 7809 7865 7930 7942 8052 8151 8220 8357 8360 8580 8664 8723 8905 9042 9196 9272 9386 9438 9516 9680 9880 10032 10065 10412 10686 10736 10830 10868 10960 11440 11495 11590 11856 11895 11913 12056 12540 12584 12688 12749 13015 13420 13585 13794 13908 14079 14248 14440 14520 14640 14762 14820 15067 15070 15618 15730 15860 15884 16104 16302 16440 16577 16714 16720 17160 17328 17385 17446 17810 18084 18392 18544 18772 18876 19032 19591 19760 19855 20130 20824 21372 21660 21736 22021 22143 22605 22990 23180 23465 23595 23790 23826 24112 25071 25080 25168 25498 26030 26169 26715 26840 27170 27588 27816 28158 28496 28633 28880 29040 29524 29640 29887 30134 30140 31236 31460 31720 31768 32208 32604 32880 33154 33428 33839 34320 34485 34770 34892 35620 36168 36784 36905 37544 37752 38064 38247 39045 39182 39710 40260 40755 41648 41785 42744 43320 43472 43615 43681 44042 44286 45201 45210 45980 46360 46930 47190 47580 47652 49457 49731 50142 50160 50996 51623 52060 52338 53430 53680 54340 55176 55632 56316 57266 58773 59048 59280 59565 59774 60268 60280 62472 62920 63440 63536 63745 65208 66063 66308 66856 67678 68970 69540 69784 70395 71240 72336 73810 75088 75335 75504 76494 78090 78364 79420 80520 81510 82885 83570 85488 85899 86640 87230 87362 88084 88572 89661 90402 90420 91927 91960 92720 93860 94380 95160 95304 95953 97955 98914 99462 100284 101517 101992 103246 104120 104676 106860 108641 108680 110105 110352 110715 112632 114532 117546 118096 119130 119548 120536 120560 124944 125355 125840 127490 130416 130845 131043 132126 132616 133712 135356 137940 139080 139568 140239 140790 142480 143165 147620 148371 149435 150670 152988 154869 156180 156728 158783 158840 161040 163020 165737 165770 167140 169195 171798 174460 174724 176168 177144 179322 180804 180840 183854 183920 187720 188760 190320 190608 191235 191906 195910 197828 198924 200568 203034 203984 206492 208240 209352 213720 215501 217282 217360 218405 220210 221430 225264 226005 229064 235092 238260 239096 241072 242231 247285 248655 250710 254980 258115 261690 262086 264252 265232 270712 275781 275880 278160 280478 281580 286273 286330 287859 293865 295240 296742 298870 301340 305976 309738 312360 313456 314963 317566 317680 325923 326040 330315 331474 331540 334280 338390 343596 348920 349448 352336 354288 358644 361608 361680 367708 372229 375440 377520 382470 383812 391820 395656 397848 401136 406068 412984 418704 420717 427440 429495 431002 434564 436810 440420 442860 448305 452010 458128 459635 470184 476349 476520 478192 479765 484462 494570 497211 497310 501420 507585 509960 516230 523380 524172 528504 541424 543205 544027 551562 551760 560956 563160 567853 572546 572660 575718 587730 590480 593484 597740 602680 611952 619476 624720 629926 635132 642941 646503 651846 652080 655215 660630 662948 663080 668560 676780 687192 697840 698896 701195 717288 723216 726693 735416 741855 744458 764940 767624 774345 783640 791312 793915 795696 812136 825968 828685 841434 858819 858990 862004 869128 873620 880840 885720 896610 904020 919270 940368 944889 952698 953040 959530 968924 989140 994422 994620 1002840 1011197 1015170 1019920 1032460 1046760 1048344 1057008 1077505 1086410 1088054 1103124 1116687 1121912 1126320 1135706 1145092 1145320 1151436 1175460 1186968 1195051 1195480 1205360 1211155 1238952 1259852 1270264 1285882 1293006 1303692 1310430 1321260 1325896 1326160 1353560 1374384 1378905 1402390 1431365 1434576 1439295 1453386 1470832 1483710 1488916 1529880 1535248 1548690 1567280 1574815 1587830 1624272 1629615 1632081 1657370 1682868 1703559 1717638 1717980 1724008 1738256 1746613 1747240 1761680 1771440 1793220 1808040 1823107 1838540 1861145 1889778 1905396 1919060 1928823 1937848 1978280 1988844 1989240 2005680 2022394 2030340 2064179 2064920 2093520 2096688 2103585 2155010 2172820 2176108 2206248 2233374 2243824 2271412 2290184 2290640 2302872 2350920 2373936 2381745 2390102 2390960 2422310 2477904 2486055 2519704 2540528 2571764 2586012 2607384 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8256716 8414340 8517795 8588190 8620040 8691280 8704432 8733065 8933496 9050631 9085648 9115535 9447009 9448890 9526980 9560408 9644115 9689240 9944220 10111970 10287056 10320895 10344048 10479678 10483440 10658164 10880540 10938642 11031240 11166870 11219120 11357060 11450920 11514360 11627088 11869680 11950510 11968594 12067508 12134364 12283557 12385074 12389520 12596012 12598520 12702640 12858820 12930060 13036920 13056648 13145561 13258960 13322705 13628472 13741104 13972904 14144702 14340612 14533860 14584856 14889160 15084385 15118224 15167955 15430584 15745015 15987246 16179152 16320810 16378076 16513432 16828680 17035590 17176380 17240080 17466130 17866992 17925765 17952891 18101262 18231070 18894018 18897780 19053960 19120816 19212743 19288230 19378480 19888440 20223940 20472595 20641790 20959356 21217053 21316328 21761080 21877284 22062480 22333740 22705969 22714120 22901840 23028720 23901020 23937188 24135016 24268728 24567114 24770148 25192024 25197040 25717640 25860120 26073840 26113296 26199195 26291122 26645410 27256944 27346605 27945808 28289404 28681224 29067720 29169712 29778320 29921485 30168770 30335910 30861168 30962685 31490030 31974492 32641620 32756152 33026864 33185647 33657360 34071180 34352760 34639033 34932260 35361755 35851530 35905782 36202524 36462140 37788036 37795560 38107920 38425486 38576460 39219401 39436683 39776880 39968115 40447880 40945190 41283580 41918712 42434106 42632656 43522160 43754568 44667480 45253155 45411938 45428240 47235045 47802040 47874376 48270032 48537456 49134228 49540296 50384048 51435280 51720240 52398390 52582244 53290820 54693210 56578808 57362448 57638229 58135440 59842970 60337540 60671820 61417785 61925370 62980060 63948984 65283240 65512304 65727805 66371294 68117907 68142360 68705520 69278066 69864520 70723510 71703060 71811564 72405048 72924280 75576072 75591120 76850972 77152920 77795861 78438802 78873366 79936230 80895760 81890380 82567160 83837424 84868212 87509136 89334960 89764455 90506310 90823876 94470090 95604080 95748752 96063715 98268456 99080592 99556941 103917099 104796780 105164488 106085265 106581640 109386420 113157616 113529845 115276458 117658203 119685940 120675080 121343640 122835570 123850740 125960120 127897968 130566480 131455610 132742588 136235814 136284720 138556132 139729040 141447020 143406120 143623128 144810096 145848560 151152144 153701944 154305840 155591722 156877604 157746732 159872460 163780760 165134320 165928235 169736424 173195165 179528910 181012620 181647752 188940180 192127430 196097005 196536912 197183415 199113882 207834198 209593560 210328976 212170530 213163280 218772840 227059690 230552916 233387583 235316406 239371880 241350160 242687280 245671140 247701480 249765659 251920240 262911220 265485176 272471628 277112264 282894040 286812240 287246256 288191145 307403888 311183444 313755208 315493464 319744920 327561520 331856470 339472848 340589535 346390330 359057820 362025240 363295504 365042117 377880360 384254860 388979305 392194010 394366830 398227764 415668396 419187120 424341060 431413411 437545680 454119380 461105832 466775166 470632812 478743760 491342280 495402960 497784705 499531318 519585495 525822440 530970352 544943256 554224528 565788080 576382290 588291015 622366888 627510416 630986928 639489840 663712940 681179070 692780660 718115640 724050480 730084234 749296977 755760720 768509720 777958610 784388020 788733660 796455528 831336792 848682120 862826822 908238760 922211664 933550332 941265624 982684560 995569410 999062636 1039170990 1051644880 1089886512 1095126351 1152764580 1166937915 1176582030 1244733776 1248828295 1294240233 1327425880 1362358140 1385561320 1436231280 1460168468 1498593954 1537019440 1555917220 1568776040 1577467320 1592911056 1662673584 1697364240 1725653644 1816477520 1825210585 1867100664 1882531248 1991138820 1998125272 2078341980 2157067055 2190252702 2305529160 2333875830 2353164060 2497656590 2588480466 2654851760 2724716280 2771122640 2920336936 2997187908 3111834440 3137552080 3154934640 3451307288 3650421170 3734201328 3746484885 3982277640 3996250544 4156683960 4314134110 4380505404 4611058320 4667751660 4706328120 4745547521 4995313180 5176960932 5449432560 5475631755 5840673872 5994375816 6223668880 6471201165 6902614576 7300842340 7492969770 7964555280 8313367920 8628268220 8761010808 9335503320 9412656240 9491095042 9990626360 10353921864 10951263510 11988751632 12942402330 14236642563 14601684680 14985939540 17256536440 17522021616 18671006640 18982190084 19981252720 20707843728 21902527020 23727737605 25884804660 28473285126 29203369360 29971879080 34513072880 37964380168 43805054040 47455475210 51769609320 56946570252 59943758160 71183212815 75928760336 87610108080 94910950420 103539218640 113893140504 142366425630 189821900840 227786281008 284732851260 379643801680 569465702520 1138931405040
• Sum of all divisors σ(n): 4515942086208
• Sum of proper divisors (its aliquot sum) s(n): 3377010681168
• 1138931405040 is an abundant number, because the sum of its proper divisors (3377010681168) is greater than itself. Its abundance is 2238079276128

Bases of 1138931405040

• Binary: 10000100100101101100110100001000011110000₂
• Hexadecimal: 0x1092D9A10F0
• Base-36: EJ7UCOHC

Squares and roots of 1138931405040

• 1138931405040 squared (1138931405040²) is 1297164745386388537401600
• 1138931405040 cubed (1138931405040³) is 1477381666031273354594154878744064000
• The square root of 1138931405040 is 1067207.2924413513
• The cube root of 1138931405040 is 10443.1742091283

Scales and comparisons

• 1,138,931,405,040 seconds is equal to 36,214 years, 25 weeks, 5 days, 10 hours, 44 minutes.
• To count from 1 to 1,138,931,405,040 would take you about ninety thousand, five hundred thirty-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 1138931405040 cubic inches would be around 870.3 feet tall.

Recreational maths with 1138931405040

• 1138931405040 backwards is 0405041398311
• 1138931405040 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1138931405040's digits is 39
• More coming soon!