137940001920

Names of 137940001920

• Cardinal: 137940001920 can be written as One hundred thirty-seven billion, nine hundred forty million, one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3794000192 × 10¹¹

Factors of 137940001920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 71

Divisors of 137940001920

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 37 40 42 45 48 49 51 54 56 60 63 64 68 70 72 74 80 84 85 90 96 98 102 105 108 111 112 119 120 126 128 135 136 140 144 147 148 153 160 168 170 180 185 189 192 196 204 210 216 222 224 238 240 245 252 255 259 270 272 280 288 294 296 306 315 320 333 336 340 343 357 360 370 378 384 392 408 420 432 441 444 448 459 476 480 490 504 510 518 540 544 555 560 576 588 592 595 612 629 630 640 666 672 680 686 714 720 735 740 756 765 777 784 816 833 840 864 882 888 896 918 945 952 960 980 999 1008 1020 1029 1036 1071 1080 1088 1110 1120 1152 1176 1184 1190 1224 1258 1260 1295 1323 1332 1344 1360 1369 1372 1428 1440 1470 1480 1512 1530 1554 1568 1632 1665 1666 1680 1715 1728 1764 1776 1785 1813 1836 1887 1890 1904 1920 1960 1998 2016 2040 2058 2072 2142 2160 2176 2205 2220 2240 2295 2331 2352 2368 2380 2448 2499 2516 2520 2590 2646 2664 2688 2720 2738 2744 2856 2880 2940 2960 3024 3060 3087 3108 3136 3145 3213 3264 3330 3332 3360 3430 3456 3528 3552 3570 3626 3672 3774 3780 3808 3885 3920 3996 4032 4080 4107 4116 4144 4165 4284 4320 4403 4410 4440 4480 4590 4662 4704 4736 4760 4896 4995 4998 5032 5040 5145 5180 5292 5328 5355 5439 5440 5476 5488 5661 5712 5760 5831 5880 5920 6048 6120 6174 6216 6272 6290 6426 6528 6615 6660 6664 6720 6845 6860 6993 7056 7104 7140 7252 7344 7497 7548 7560 7616 7770 7840 7992 8064 8160 8214 8232 8288 8330 8568 8640 8806 8820 8880 9065 9180 9261 9324 9408 9435 9520 9583 9792 9990 9996 10064 10080 10290 10360 10584 10656 10710 10878 10880 10952 10976 11322 11424 11655 11662 11760 11840 12096 12240 12321 12348 12432 12495 12580 12691 12852 13209 13230 13320 13328 13440 13690 13720 13986 14112 14208 14280 14504 14688 14994 15096 15120 15232 15435 15540 15680 15984 16065 16317 16320 16428 16464 16576 16660 16983 17136 17280 17493 17612 17640 17760 18130 18360 18522 18648 18816 18870 19040 19166 19584 19980 19992 20128 20160 20535 20580 20720 21168 21312 21420 21756 21904 21952 22015 22491 22644 22848 23273 23310 23324 23520 23680 24192 24480 24642 24696 24864 24990 25160 25382 25704 26418 26460 26640 26656 27195 27380 27440 27972 28224 28305 28560 28749 29008 29155 29376 29988 30192 30240 30821 30870 31080 31360 31968 32130 32634 32640 32856 32928 33152 33320 33966 34272 34965 34986 35224 35280 35520 36260 36720 36963 37044 37296 37485 37740 38073 38080 38332 39627 39960 39984 40256 40320 41070 41160 41440 42336 42624 42840 43512 43808 43904 44030 44982 45288 45696 46305 46546 46620 46648 47040 47915 48951 48960 49284 49392 49728 49980 50320 50764 51408 52479 52836 52920 53280 53312 54390 54760 54880 55944 56448 56610 57120 57498 58016 58310 58752 59976 60384 60480 61605 61642 61740 62160 63455 63936 64260 65268 65712 65856 66045 66640 67081 67932 68544 69819 69930 69972 70448 70560 71040 72520 73440 73926 74088 74592 74970 75480 76146 76160 76664 79254 79920 79968 80512 81585 82140 82320 82880 84672 84915 85680 86247 87024 87465 87616 88060 89964 90576 92463 92610 93092 93240 93296 94080 95830 97902 97920 98568 98784 99456 99960 100640 101528 102816 104958 105672 105840 106560 106624 108780 109520 109760 111888 112455 113220 114219 114240 114996 116032 116365 116620 118881 119952 120768 120960 123210 123284 123480 124320 126910 127872 128520 130536 131424 131712 132090 133280 134162 135864 137088 139638 139860 139944 140896 141120 143745 145040 146880 147852 148176 149184 149940 150960 152292 153328 154105 157437 158508 159840 159936 162911 163170 164280 164640 165760 169344 169830 171360 172494 174048 174930 175232 176120 179928 181152 184815 184926 185220 186184 186480 186592 190365 191660 195804 197136 197568 198135 199920 201243 201280 203056 205632 209457 209916 211344 211680 213120 215747 217560 219040 219520 223776 224910 226440 228438 228480 229992 232064 232730 233240 237762 239904 241536 244755 246420 246568 246960 248640 253820 257040 258741 261072 262395 262848 264180 266560 268324 271728 277389 279276 279720 279888 281792 282240 287490 290080 293760 295704 296352 298368 299880 301920 304584 306656 308210 314874 317016 319680 319872 325822 326340 328560 329280 335405 339660 342657 342720 344988 348096 349095 349860 352240 359856 362304 369630 369852 370440 372368 372960 373184 380730 383320 391608 394272 395136 396270 399840 402486 402560 406112 411264 418914 419832 422688 423360 431235 431494 435120 438080 447552 449820 452880 456876 459984 462315 465460 466480 469567 475524 479808 488733 489510 492840 493136 493920 497280 507640 514080 517482 522144 524790 525696 528360 533120 536648 543456 554778 558552 559440 559776 563584 571095 574980 580160 591408 592704 594405 599760 603729 603840 609168 613312 616420 628371 629748 634032 639360 647241 651644 652680 657120 658560 670810 679320 685314 685440 689976 696192 698190 699720 704480 719712 724608 739260 739704 740880 744736 745920 746368 761460 766640 783216 787185 788544 792540 799680 804972 812224 814555 832167 837828 839664 845376 846720 862470 862988 870240 876160 895104 899640 905760 913752 919968 924630 930920 932960 939134 951048 959616 977466 979020 985680 986272 987840 1006215 1015280 1028160 1034964 1044288 1047285 1049580 1056720 1073296 1078735 1086912 1109556 1117104 1118880 1119552 1140377 1142190 1149960 1160320 1182816 1185408 1188810 1199520 1207458 1207680 1218336 1226624 1232840 1256742 1259496 1268064 1293705 1294482 1303288 1305360 1314240 1341620 1358640 1370628 1379952 1386945 1396380 1399440 1408701 1408960 1439424 1466199 1478520 1479408 1481760 1489472 1491840 1522920 1533280 1566432 1574370 1577088 1585080 1599360 1609944 1624448 1629110 1664334 1675656 1679328 1690752 1713285 1724940 1725976 1740480 1799280 1811187 1811520 1827504 1839936 1849260 1861840 1865920 1878268 1902096 1941723 1954932 1958040 1971360 1972544 1975680 2012430 2030560 2056320 2069928 2088576 2094570 2099160 2113440 2146592 2157470 2173824 2219112 2234208 2237760 2239104 2280754 2284380 2299920 2347835 2365632 2377620 2399040 2414916 2436672 2443665 2465680 2513484 2518992 2536128 2587410 2588964 2606576 2610720 2628480 2683240 2717280 2741256 2759904 2773890 2792760 2798880 2817402 2817920 2878848 2932398 2957040 2958816 2963520 2978944 3018645 3045840 3066560 3132864 3141855 3148740 3170160 3219888 3236205 3258220 3328668 3351312 3358656 3421131 3426570 3449880 3451952 3480960 3598560 3622374 3623040 3655008 3679872 3698520 3723680 3731840 3756536 3804192 3883446 3909864 3916080 3942720 3945088 4024860 4061120 4139856 4160835 4189140 4198320 4226103 4226880 4293184 4314940 4398597 4438224 4468416 4475520 4561508 4568760 4599840 4695670 4731264 4755240 4798080 4829832 4873344 4887330 4931360 5026968 5037984 5072256 5174820 5177928 5213152 5221440 5366480 5434560 5482512 5519808 5547780 5585520 5597760 5634804 5701885 5825169 5864796 5914080 5917632 5927040 6037290 6091680 6133120 6265728 6283710 6297480 6340320 6439776 6472410 6516440 6657336 6702624 6717312 6842262 6853140 6899760 6903904 7043505 7197120 7244748 7310016 7330995 7397040 7447360 7513072 7608384 7766892 7819728 7832160 7885440 7982639 8049720 8122240 8279712 8321670 8378280 8396640 8452206 8453760 8586368 8629880 8797194 8876448 8936832 9055935 9123016 9137520 9199680 9391340 9510480 9659664 9708615 9774660 9862720 10053936 10075968 10263393 10349640 10355856 10426304 10442880 10732960 10869120 10965024 11039616 11095560 11171040 11195520 11269608 11403770 11650338 11729592 11828160 11835264 12074580 12183360 12567420 12594960 12678309 12680640 12879552 12944820 13032880 13314672 13405248 13684524 13706280 13799520 13807808 14087010 14394240 14489496 14620032 14661990 14794080 14894720 15026144 15216768 15533784 15639456 15664320 15965278 16099440 16559424 16643340 16756560 16793280 16904412 17105655 17259760 17594388 17752896 18111870 18246032 18275040 18399360 18782680 19020960 19319328 19417230 19549320 19725440 20107872 20151936 20526786 20699280 20711712 20852608 21130515 21465920 21930048 21992985 22191120 22342080 22539216 22807540 23300676 23459184 23656320 23947917 24149160 24366720 25134840 25189920 25356618 25361280 25759104 25889640 26065760 26629344 26810496 27369048 27412560 27599040 27615616 28174020 28978992 29125845 29323980 29588160 30052288 30790179 31067568 31278912 31328640 31930556 32198880 33118848 33286680 33513120 33586560 33808824 34211310 34519520 35188776 35505792 36223740 36492064 36550080 37565360 38041920 38638656 38834460 39098640 39913195 40215744 41053572 41398560 41423424 42261030 42931840 43860096 43985970 44382240 44684160 45078432 45615080 46601352 46918368 47895834 48298320 50269680 50379840 50713236 51316965 51779280 52131520 53258688 54738096 54825120 55198080 56348040 57957984 58251690 58647960 59176320 60104576 61580358 62135136 62557824 63391545 63861112 64397760 66573360 67026240 67617648 68422620 69039040 70377552 71843751 72447480 72984128 73100160 75130720 76083840 77277312 77668920 78197280 79826390 80431488 82107144 82797120 82846848 84522060 87971940 88764480 90156864 91230160 93202704 93836736 95791668 96596640 100539360 100759680 101426472 102633930 103558560 104263040 106517376 109476192 109650240 112696080 115915968 116503380 117295920 119739585 123160716 124270272 126783090 127722224 128795520 133146720 134052480 135235296 136845240 138078080 140755104 143687502 144894960 145968256 150261440 153950895 155337840 156394560 159652780 164214288 165594240 169044120 175943880 177528960 180313728 182460320 186405408 187673472 191583336 193193280 201078720 202852944 205267860 207117120 215531253 218952384 219300480 225392160 231831936 233006760 234591840 239479170 246321432 248540544 253566180 255444448 266293440 270470592 273690480 281510208 287375004 289789920 300522880 307901790 310675680 312789120 319305560 328428576 338088240 351887760 359218755 364920640 372810816 383166672 386386560 402157440 405705888 410535720 414234240 431062506 437904768 450784320 466013520 469183680 478958340 492642864 507132360 510888896 532586880 540941184 547380960 563020416 574750008 579579840 615803580 621351360 638611120 656857152 676176480 703775520 718437510 729841280 745621632 766333344 811411776 821071440 862125012 901568640 932027040 938367360 957916680 985285728 1014264720 1021777792 1077656265 1094761920 1149500016 1159159680 1231607160 1242702720 1277222240 1313714304 1352352960 1407551040 1436875020 1532666688 1622823552 1642142880 1724250024 1864054080 1915833360 1970571456 2028529440 2155312530 2189523840 2299000032 2463214320 2554444480 2704705920 2815102080 2873750040 3065333376 3284285760 3448500048 3728108160 3831666720 3941142912 4057058880 4310625060 4598000064 4926428640 5108888960 5747500080 6568571520 6897000096 7663333440 8114117760 8621250120 9196000128 9852857280 11495000160 13794000192 15326666880 17242500240 19705714560 22990000320 27588000384 34485000480 45980000640 68970000960 137940001920
• Sum of all divisors σ(n): 619980480000
• Sum of proper divisors (its aliquot sum) s(n): 482040478080
• 137940001920 is an abundant number, because the sum of its proper divisors (482040478080) is greater than itself. Its abundance is 344100476160

Bases of 137940001920

• Binary: 10000000011101110111010110010010000000₂
• Hexadecimal: 0x201DDD6480
• Base-36: 1RD9WYO0

Squares and roots of 137940001920

• 137940001920 squared (137940001920²) is 19027444129689603686400
• 137940001920 cubed (137940001920³) is 2624645679782076661506055077888000
• The square root of 137940001920 is 371402.7489397461
• The cube root of 137940001920 is 5166.9002330947

Scales and comparisons

• 137,940,001,920 seconds is equal to 4,386 years, 3 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 137,940,001,920 would take you about eight thousand, seven hundred seventy-two 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 137940001920 cubic inches would be around 430.6 feet tall.

Recreational maths with 137940001920

• 137940001920 backwards is 029100049731
• 137940001920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137940001920's digits is 36
• More coming soon!