137406749040

Names of 137406749040

• Cardinal: 137406749040 can be written as One hundred thirty-seven billion, four hundred six million, seven hundred forty-nine thousand and forty.

Scientific notation

• Scientific notation: 1.3740674904 × 10¹¹

Factors of 137406749040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 129

Divisors of 137406749040

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 23 24 29 30 33 36 37 38 40 44 45 46 48 55 57 58 60 66 69 72 74 76 80 87 88 90 92 95 99 110 111 114 115 116 120 132 138 144 145 148 152 165 171 174 176 180 184 185 190 198 207 209 220 222 228 230 232 240 253 261 264 276 285 290 296 304 319 330 333 342 345 348 360 368 370 380 396 407 414 418 435 437 440 444 456 460 464 495 506 522 528 551 552 555 570 580 592 627 638 660 666 667 684 690 696 703 720 740 759 760 792 814 828 836 851 855 870 874 880 888 912 920 957 990 1012 1035 1044 1045 1073 1102 1104 1110 1140 1160 1221 1254 1265 1276 1305 1311 1320 1332 1334 1368 1369 1380 1392 1406 1480 1518 1520 1584 1595 1628 1653 1656 1665 1672 1702 1710 1740 1748 1776 1840 1881 1914 1980 2001 2024 2035 2070 2088 2090 2109 2146 2185 2204 2220 2277 2280 2320 2442 2508 2530 2552 2553 2610 2622 2640 2664 2668 2736 2738 2755 2760 2812 2871 2960 3036 3135 3190 3219 3256 3306 3312 3330 3335 3344 3404 3420 3480 3496 3515 3663 3762 3795 3828 3933 3960 4002 4048 4070 4107 4140 4176 4180 4218 4255 4292 4370 4408 4440 4554 4560 4785 4807 4884 4959 5016 5060 5104 5106 5220 5244 5328 5336 5365 5476 5510 5520 5624 5742 6003 6061 6072 6105 6270 6327 6380 6438 6512 6555 6612 6660 6670 6808 6840 6845 6960 6992 7030 7326 7337 7524 7590 7656 7659 7733 7866 7920 8004 8140 8214 8265 8280 8360 8436 8510 8584 8740 8816 8880 9108 9361 9405 9570 9614 9657 9768 9918 10005 10032 10120 10212 10440 10488 10545 10672 10730 10952 11020 11248 11385 11484 11803 12006 12122 12144 12210 12321 12540 12654 12673 12760 12765 12876 13110 13224 13320 13340 13616 13680 13690 14060 14355 14421 14652 14674 15048 15059 15180 15312 15318 15466 15732 16008 16095 16169 16280 16428 16530 16560 16720 16872 17020 17168 17480 18183 18216 18315 18722 18810 19140 19228 19314 19536 19665 19836 20010 20240 20387 20424 20535 20880 20976 21090 21460 21904 22011 22040 22770 22968 23199 23606 24012 24035 24244 24420 24642 24679 24795 25080 25308 25346 25520 25530 25752 26011 26220 26448 26640 26680 27380 28083 28120 28710 28842 29304 29348 30015 30096 30118 30305 30360 30636 30932 31464 31487 31635 32016 32190 32338 32560 32856 33060 33744 34040 34960 35409 36366 36432 36630 36685 37444 37620 38019 38280 38295 38456 38628 38665 39330 39672 39701 40020 40774 40848 41070 42180 42920 43263 44022 44080 45177 45540 45936 46398 46805 47212 48024 48070 48285 48488 48507 48840 49284 49358 49590 50160 50616 50692 51060 51504 52022 52440 53360 54549 54760 56166 56240 57420 57684 58608 58696 59015 60030 60236 60610 60720 61161 61272 61605 61864 62928 62974 63270 63365 64380 64676 65712 66033 66120 68080 69597 70818 72105 72732 73260 73370 74037 74888 75240 75295 76038 76560 76590 76912 77256 77330 78033 78660 79344 79402 80040 80845 81548 82140 84249 84360 85840 86526 88044 90354 90915 91080 92796 93610 94424 94461 96048 96140 96570 96976 97014 97680 98568 98716 99180 101232 101384 101935 102120 104044 104880 106227 109098 109520 110055 112332 114057 114840 115368 115995 117392 118030 119103 120060 120472 121220 122322 122544 123210 123395 123728 125948 126540 126730 128760 129352 130055 132066 132240 135531 139194 139403 140415 141636 144210 145464 145521 146520 146740 148074 149776 150480 150590 152076 153180 154512 154660 156066 157320 157435 158804 160080 161690 163096 164280 168498 168720 173052 176088 177045 177859 180708 181830 182160 183483 185592 187220 188848 188922 190095 192280 193140 194028 197136 197432 198360 198505 202768 203870 204240 208088 212454 216315 218196 220110 222111 224257 224664 225885 228114 229680 230736 231990 234099 236060 238206 240120 240944 242440 242535 244644 246420 246790 251896 253080 253460 257520 258704 260110 264132 271062 271469 272745 278388 278806 280830 283272 283383 286121 288420 290928 291042 293040 293480 296148 301180 304152 305805 306360 309320 312132 314640 314870 317608 323380 326192 328560 330165 336996 346104 346357 347985 352176 354090 355718 357309 361416 363660 366966 370185 371184 374440 377844 380190 384560 386280 388056 390165 394864 396720 397010 407740 416176 418209 421245 424908 432630 436392 436711 440220 444222 448514 449328 451770 456228 463980 468198 468901 472120 472305 476412 480240 484880 485070 489288 492840 493580 503792 506160 506920 520220 528264 531135 533577 542124 542938 545490 556776 557612 561660 566544 566766 570285 572242 576840 582084 586960 592296 595515 598253 602360 608304 611610 612720 618640 624264 629740 635216 646760 660330 672771 673992 677655 692208 692714 695970 697015 708180 711436 714618 722832 727320 727605 733932 740370 748880 754319 755688 760380 772560 776112 780330 794020 814407 815480 836418 842490 849816 858363 865260 872784 873422 880440 888444 889295 897028 903540 912456 913123 917415 927960 936396 937802 944240 944610 952824 970140 978576 985680 987160 1013840 1039071 1040440 1056528 1062270 1067154 1084248 1085876 1090980 1110555 1113552 1115224 1121285 1123320 1133532 1140570 1144484 1153680 1164168 1170495 1184592 1191030 1196506 1204720 1223220 1248528 1254627 1259480 1293520 1310133 1320660 1345542 1347984 1355310 1357345 1385428 1391940 1394030 1406703 1416360 1416915 1422872 1429236 1430605 1454640 1455210 1467864 1480740 1508638 1511376 1520760 1560660 1588040 1600731 1628814 1630960 1672836 1684980 1699632 1716726 1730520 1731785 1746844 1760880 1776888 1778590 1786545 1794056 1794759 1807080 1824912 1826246 1834830 1855920 1872792 1875604 1889220 1905648 1940280 1974320 2018313 2078142 2080880 2091045 2124540 2134308 2168496 2171752 2181960 2183555 2221110 2230448 2242570 2246640 2262957 2267064 2281140 2288968 2328336 2340990 2344505 2382060 2393012 2443221 2446440 2509254 2518960 2575089 2620266 2641320 2667885 2691084 2710620 2714690 2739369 2770856 2783880 2788060 2813406 2832720 2833830 2845744 2858472 2861210 2910420 2935728 2961480 2991265 3017276 3041520 3117213 3121320 3176080 3201462 3257628 3345672 3363855 3369960 3433452 3461040 3463570 3493688 3553776 3557180 3573090 3588112 3589518 3614160 3652492 3669660 3745584 3751208 3771595 3778440 3880560 3930399 4036626 4072035 4156284 4182090 4220109 4249080 4268616 4291815 4343504 4363920 4367110 4442220 4485140 4525914 4534128 4562280 4565615 4577936 4681980 4689010 4764120 4786024 4886442 4892880 5018508 5150178 5157911 5195355 5240532 5282640 5335770 5382168 5384277 5421240 5429380 5478738 5541712 5567760 5576120 5626812 5667660 5716944 5722420 5820840 5922960 5982530 6034552 6234426 6242640 6273135 6402924 6515256 6550665 6580783 6691344 6727710 6739920 6788871 6866904 6927140 6987376 7033515 7114360 7146180 7179036 7304984 7339320 7502416 7543190 7556880 7860798 8003655 8073252 8144070 8218107 8297509 8312568 8364180 8440218 8498160 8537232 8583630 8734220 8884440 8970280 8973795 9051828 9124560 9131230 9363960 9378020 9528240 9572048 9772884 10037016 10044353 10091565 10300356 10315822 10390710 10481064 10671540 10764336 10768554 10842480 10858760 10957476 11152240 11253624 11314785 11335320 11444840 11641680 11965060 12069104 12216105 12468852 12546270 12805848 12875445 13030512 13101330 13161566 13455420 13577742 13696845 13733808 13854280 14067030 14228720 14292360 14358072 14609968 14678640 15086380 15473733 15586065 15721596 16007310 16146504 16288140 16436214 16595018 16625136 16728360 16880436 17167260 17349337 17468440 17768880 17940560 17947590 18103656 18262460 18727920 18756040 19545768 19651995 19742349 20074032 20088706 20183130 20600712 20631644 20781420 20962128 21100545 21343080 21537108 21717520 21914952 22507248 22629570 22670640 22889680 23930120 24432210 24892527 24937704 25092540 25611696 25750890 25789555 26202660 26323132 26910840 26921385 27155484 27393690 27708560 28134060 28584720 28716144 30133059 30172760 30947466 31172130 31443192 32014620 32293008 32576280 32872428 32903915 33190036 33456720 33760872 33944355 34334520 34698674 34936880 35895180 36207312 36524920 37512080 39091536 39303990 39484698 40177412 40366260 41090535 41201424 41263288 41487545 41562840 42201090 42686160 43074216 43829904 45259140 46421199 47860240 48864420 49785054 49875408 50185080 50221765 51501780 51579110 52048011 52405320 52646264 53821680 53842770 54310968 54787380 56268120 59227047 60266118 60345520 61894932 62344260 62886384 64029240 65152560 65744856 65807830 66380072 67521744 67888710 68669040 69397348 71790360 73049840 74677581 77368665 78607980 78969396 80354824 80732520 82181070 82526576 82975090 83125680 84402180 86148432 86746685 90399177 90518280 92842398 97728840 98711745 99570108 100370160 100443530 103003560 103158220 104096022 104810640 105292528 107685540 108621936 109574760 112536240 118454094 120532236 123789864 124462635 124688520 128058480 131489712 131615660 132760144 135777420 138794696 143580720 149355162 150665295 154737330 156144033 157215960 157938792 160709648 161465040 164362140 165950180 168804360 173493370 180798354 181036560 185684796 190842707 195457680 197423490 199140216 200887060 206007120 206316440 208192044 215371080 219149520 232105995 236908188 241064472 247579728 248925270 249377040 260240055 263231320 271554840 277589392 296135235 298710324 301330590 309474660 312288066 314431920 315877584 328724280 331900360 337608720 346986740 361596708 371369592 373387905 381685414 394846980 398280432 401774120 412632880 416384088 430742160 451995885 464211990 473816376 482128944 497850540 520480110 526462640 543109680 572528121 592270470 597420648 602661180 618949320 624576132 657448560 663800720 693973480 723193416 742739184 746775810 763370828 780720165 789693960 803548240 832768176 903991770 928423980 947632752 954213535 995701080 1040960220 1145056242 1184540940 1194841296 1205322360 1237898640 1249152264 1387946960 1446386832 1493551620 1526741656 1561440330 1579387920 1717584363 1807983540 1856847960 1908427070 1991402160 2081920440 2290112484 2369081880 2410644720 2498304528 2862640605 2987103240 3053483312 3122880660 3435168726 3615967080 3713695920 3816854140 4163840880 4580224968 4738163760 5725281210 5974206480 6245761320 6870337452 7231934160 7633708280 8587921815 9160449936 11450562420 12491522640 13740674904 15267416560 17175843630 22901124840 27481349808 34351687260 45802249680 68703374520 137406749040
• Sum of all divisors σ(n): 587887372800
• Sum of proper divisors (its aliquot sum) s(n): 450480623760
• 137406749040 is an abundant number, because the sum of its proper divisors (450480623760) is greater than itself. Its abundance is 313073874720

Bases of 137406749040

• Binary: 1111111111110000101001001100101110000₂
• Hexadecimal: 0x1FFE149970
• Base-36: 1R4GFI40

Squares and roots of 137406749040

• 137406749040 squared (137406749040²) is 18880614681741540921600
• 137406749040 cubed (137406749040³) is 2594323883294999383557181515264000
• The square root of 137406749040 is 370684.1634599461
• The cube root of 137406749040 is 5160.2335120573

Scales and comparisons

• 137,406,749,040 seconds is equal to 4,369 years, 5 weeks, 4 days, 21 hours, 24 minutes.
• To count from 1 to 137,406,749,040 would take you about eight thousand, seven hundred thirty-eight 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 137406749040 cubic inches would be around 430 feet tall.

Recreational maths with 137406749040

• 137406749040 backwards is 040947604731
• 137406749040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137406749040's digits is 45
• More coming soon!