137441636640

Names of 137441636640

• Cardinal: 137441636640 can be written as One hundred thirty-seven billion, four hundred forty-one million, six hundred thirty-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3744163664 × 10¹¹

Factors of 137441636640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 686

Divisors of 137441636640

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 41 42 44 45 48 49 55 56 60 63 66 70 72 77 80 82 84 88 90 96 98 99 105 110 112 120 123 126 132 140 144 147 154 160 164 165 168 176 180 196 198 205 210 220 224 231 240 245 246 252 264 280 287 288 294 308 315 328 330 336 343 352 360 369 385 392 396 410 420 440 441 451 462 480 490 492 495 504 528 539 560 574 588 615 616 617 630 656 660 672 686 693 720 735 738 770 784 792 820 840 861 880 882 902 924 980 984 990 1008 1029 1056 1078 1120 1148 1155 1176 1230 1232 1234 1260 1312 1320 1353 1372 1386 1435 1440 1470 1476 1540 1568 1584 1617 1640 1680 1715 1722 1760 1764 1804 1845 1848 1851 1960 1968 1980 2009 2016 2058 2156 2205 2255 2296 2310 2352 2460 2464 2468 2520 2583 2640 2695 2706 2744 2772 2870 2940 2952 3080 3085 3087 3157 3168 3234 3280 3360 3430 3444 3465 3528 3608 3690 3696 3702 3773 3920 3936 3960 4018 4059 4116 4305 4312 4319 4410 4510 4592 4620 4704 4851 4920 4936 5040 5145 5166 5280 5390 5412 5488 5544 5553 5740 5880 5904 6027 6160 6170 6174 6314 6468 6560 6765 6787 6860 6888 6930 7056 7216 7380 7392 7404 7546 7840 7920 8036 8085 8118 8232 8610 8624 8638 8820 9020 9184 9240 9255 9471 9702 9840 9872 10045 10080 10290 10332 10780 10824 10976 11088 11106 11319 11480 11760 11808 12054 12320 12340 12348 12628 12915 12936 12957 13530 13574 13720 13776 13860 14063 14112 14432 14760 14808 15092 15435 15785 15840 16072 16170 16236 16464 17220 17248 17276 17640 18040 18081 18480 18510 18865 18942 19404 19680 19744 20090 20295 20361 20580 20664 21560 21595 21648 22099 22176 22212 22638 22960 23520 24108 24255 24680 24696 25256 25297 25830 25872 25914 27060 27148 27440 27552 27720 27765 28126 28413 29520 29616 30135 30184 30233 30870 31570 32144 32340 32472 32928 33935 33957 34440 34552 35280 36080 36162 36960 37020 37730 37884 38808 38871 40180 40590 40722 41160 41328 42189 43120 43190 43296 44198 44424 45276 45920 47355 47509 48216 48510 49360 49392 50512 50594 51660 51744 51828 54120 54296 54880 55440 55530 56252 56595 56826 59040 59232 60270 60368 60466 61083 61740 63140 64288 64680 64785 64944 66297 67870 67914 68880 69104 70315 70560 72160 72324 74040 75460 75768 75891 77616 77742 80360 81180 81444 82320 82656 84378 86240 86380 88396 88848 90405 90552 90699 94710 95018 96432 97020 98720 98784 101024 101188 101805 103320 103656 108240 108592 110495 110880 111060 112504 113190 113652 120540 120736 120932 122166 123480 126280 126485 126567 129360 129570 129888 132594 135740 135828 137760 138208 140630 142065 142527 144648 148080 150920 151165 151536 151782 154693 155232 155484 160720 162360 162888 164640 168756 169785 172760 176792 177079 177696 180810 181104 181398 189420 190036 192864 194040 194355 198891 202376 203610 206640 207312 210945 211631 216480 217184 220990 222120 225008 226380 227304 227673 237545 241080 241864 244332 246960 252560 252970 253134 258720 259140 265188 271480 271656 272097 278267 281260 284130 285054 289296 296160 301840 302330 303072 303564 305415 309386 310968 321440 324720 325776 331485 332563 337512 339570 345520 353584 354158 361620 362208 362796 378840 379455 380072 388080 388710 397782 404752 407220 413280 414624 421890 423262 427581 441980 444240 450016 452760 453495 454608 455346 464079 475090 482160 483728 488664 493920 505120 505940 506268 518280 530376 531237 542960 543312 544194 556534 562520 568260 570108 578592 603680 604660 607128 610830 618772 621936 632835 634893 649440 651552 662970 665126 675024 679140 691040 707168 708316 712635 723240 725592 757680 758910 760144 773465 776160 777420 795564 809504 814440 834801 843780 846524 855162 883960 885395 888480 905520 906990 909216 910692 928158 950180 964320 967456 977328 994455 997689 1011880 1012536 1036560 1058155 1060752 1062474 1085920 1086624 1088388 1113068 1125040 1136520 1138365 1140216 1209320 1214256 1221660 1237544 1239553 1243872 1265670 1269786 1325940 1330252 1350048 1358280 1360485 1391335 1392237 1416632 1425270 1446480 1451184 1515360 1517820 1520288 1546930 1554840 1591128 1593711 1628880 1662815 1669602 1687560 1693048 1710324 1767920 1770790 1811040 1813980 1821384 1856316 1900360 1904679 1947869 1954656 1988910 1995378 2023760 2025072 2073120 2116310 2121504 2124948 2137905 2176776 2226136 2250080 2273040 2276730 2280432 2320395 2327941 2418640 2428512 2443320 2475088 2479106 2504403 2531340 2539572 2651880 2656185 2660504 2716560 2720970 2782670 2784474 2833264 2850540 2892960 2902368 2993067 3035640 3093860 3109680 3174465 3182256 3187422 3257760 3325630 3339204 3375120 3386096 3420648 3535840 3541580 3627960 3642768 3712632 3718659 3800720 3809358 3895738 3977820 3990756 4047520 4050144 4174005 4232620 4249896 4275810 4353552 4452272 4546080 4553460 4560864 4640790 4655882 4837280 4886640 4950176 4958212 4988445 5008806 5062680 5079144 5303760 5312370 5321008 5433120 5441940 5565340 5568948 5666528 5701080 5843607 5986134 6071280 6187720 6197765 6219360 6348930 6364512 6374844 6651260 6678408 6750240 6772192 6841296 6961185 6983823 7083160 7255920 7285536 7425264 7437318 7601440 7618716 7791476 7955640 7968555 7981512 8348010 8465240 8499792 8551620 8676871 8707104 8904544 9106920 9281580 9311764 9523395 9739345 9773280 9916424 9976890 10017612 10125360 10158288 10607520 10624740 10642016 10883880 11130680 11137896 11155977 11402160 11639705 11687214 11972268 12142560 12375440 12395530 12522015 12697860 12749688 13302520 13356816 13635083 13682592 13922370 13967646 14166320 14511840 14850528 14874636 14965335 15237432 15582952 15911280 15937110 15963024 16696020 16930480 16999584 17103240 17353742 17530821 18213840 18563160 18593295 18623528 19046790 19478690 19832848 19953780 20035224 20250720 20316576 20951469 21249480 21767760 22261360 22275792 22311954 22804320 23279410 23374428 23944536 24750880 24791060 25044030 25395720 25499376 26030613 26605040 26713632 27270166 27844740 27935292 28332640 29218035 29749272 29930670 30474864 31165904 31822560 31874220 31926048 33392040 33860960 34206480 34707484 34919115 35061642 36427680 37126320 37186590 37247056 38093580 38957380 39665696 39907560 40070448 40905249 41902938 42498960 43384355 43535520 44522720 44551584 44623908 46558820 46748856 47889072 49582120 50088060 50791440 50998752 52061226 53210080 54540332 55689480 55779885 55870584 58436070 59498544 59861340 60949728 62331808 63748440 66784080 68175415 68412960 69414968 69838230 70123284 74252640 74373180 74494112 76187160 77914760 78091839 79815120 80140896 81810498 83805876 84997920 86768710 87654105 89247816 93117640 93497712 95445581 95778144 99164240 100176120 101582880 104122452 104757345 109080664 111378960 111559770 111741168 116872140 118997088 119722680 122715747 127496880 130153065 133568160 136350830 138829936 139676460 140246568 148746360 152374320 155829520 156183678 159630240 163620996 167611752 173537420 175308210 178495632 186235280 186995424 190891162 198328480 200352240 204526245 208244904 209514690 218161328 222757920 223119540 223482336 233744280 239445360 245431494 254993760 260306130 272701660 277659872 279352920 280493136 286336743 297492720 304748640 311659040 312367356 327241992 335223504 347074840 350616420 356991264 372470560 381782324 390459195 400704480 409052490 416489808 419029380 436322656 446239080 467488560 477227905 478890720 490862988 520612260 545403320 558705840 560986272 572673486 594985440 613578735 624734712 654483984 670447008 694149680 701232840 763564648 780918390 818104980 832979616 838058760 859010229 892478160 934977120 954455810 981725976 1041224520 1090806640 1117411680 1145346972 1227157470 1249469424 1308967968 1388299360 1402465680 1431683715 1527129296 1561836780 1636209960 1676117520 1718020458 1784956320 1908911620 1963451952 2082449040 2181613280 2290693944 2454314940 2498938848 2804931360 2863367430 3054258592 3123673560 3272419920 3352235040 3436040916 3817823240 3926903904 4164898080 4295051145 4581387888 4908629880 5726734860 6247347120 6544839840 6872081832 7635646480 8590102290 9162775776 9817259760 11453469720 12494694240 13744163664 15271292960 17180204580 19634519520 22906939440 27488327328 34360409160 45813878880 68720818320 137441636640
• Sum of all divisors σ(n): 612229363200
• Sum of proper divisors (its aliquot sum) s(n): 474787726560
• 137441636640 is an abundant number, because the sum of its proper divisors (474787726560) is greater than itself. Its abundance is 337346089920

Bases of 137441636640

• Binary: 10000000000000001010001111000100100000₂
• Hexadecimal: 0x200028F120
• Base-36: 1R5179K0

Squares and roots of 137441636640

• 137441636640 squared (137441636640²) is 18890203482281790489600
• 137441636640 cubed (137441636640³) is 2596300483067436526560210898944000
• The square root of 137441636640 is 370731.2188634779
• The cube root of 137441636640 is 5160.6702031945

Scales and comparisons

• 137,441,636,640 seconds is equal to 4,370 years, 11 weeks, 2 days, 16 hours, 24 minutes.
• To count from 1 to 137,441,636,640 would take you about eight thousand, seven hundred forty 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 137441636640 cubic inches would be around 430.1 feet tall.

Recreational maths with 137441636640

• 137441636640 backwards is 046636144731
• 137441636640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137441636640's digits is 45
• More coming soon!