137531685312

Names of 137531685312

• Cardinal: 137531685312 can be written as One hundred thirty-seven billion, five hundred thirty-one million, six hundred eighty-five thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37531685312 × 10¹¹

Factors of 137531685312

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 254

Divisors of 137531685312

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 37 42 48 49 51 56 61 63 64 68 72 74 84 96 98 102 111 112 119 122 126 127 136 144 147 148 153 168 183 192 196 204 222 224 238 244 252 254 259 272 288 294 296 306 333 336 357 366 381 392 408 427 441 444 448 476 488 504 508 518 544 549 576 588 592 612 629 666 672 714 732 762 777 784 816 833 854 882 888 889 952 976 1008 1016 1036 1037 1071 1088 1098 1143 1176 1184 1224 1258 1281 1332 1344 1428 1464 1524 1554 1568 1632 1666 1708 1764 1776 1778 1813 1887 1904 1952 2016 2032 2072 2074 2142 2159 2196 2257 2286 2331 2352 2368 2448 2499 2516 2562 2664 2667 2856 2928 2989 3048 3108 3111 3136 3264 3332 3416 3528 3552 3556 3626 3774 3808 3843 3904 4032 4064 4144 4148 4284 4318 4392 4403 4514 4572 4662 4699 4704 4896 4998 5032 5124 5328 5334 5439 5661 5712 5856 5978 6096 6216 6222 6223 6477 6664 6771 6832 7056 7104 7112 7252 7259 7497 7548 7616 7686 7747 8001 8128 8288 8296 8568 8636 8784 8806 8967 9028 9144 9324 9333 9398 9408 9792 9996 10064 10248 10656 10668 10878 11322 11424 11712 11956 12192 12432 12444 12446 12954 13209 13328 13542 13664 14097 14112 14224 14504 14518 14994 15096 15113 15372 15494 15799 16002 16317 16576 16592 17136 17272 17568 17612 17934 18056 18288 18648 18666 18669 18796 19431 19992 20128 20313 20496 21312 21336 21756 21777 22644 22848 23241 23912 24384 24864 24888 24892 25908 26418 26656 26901 27084 27328 28194 28224 28448 29008 29036 29988 30192 30226 30744 30821 30988 31598 32004 32634 32893 33184 34272 34544 35136 35224 35868 36112 36576 37296 37332 37338 37592 38369 38862 39627 39984 40256 40626 40992 42291 42672 43512 43554 45288 45339 46482 47397 47824 49728 49776 49784 50813 51816 52836 53312 53802 54168 54229 56007 56388 56896 58016 58072 59976 60384 60452 61488 61642 61976 63196 64008 65268 65331 65786 66368 68544 69088 69723 70448 71736 72224 73152 74592 74664 74676 75184 76738 77724 79254 79883 79968 81252 81984 84582 85344 87024 87108 90576 90678 92463 92964 94794 95648 98679 99552 99568 101626 103632 105672 105791 107604 108336 108458 110593 112014 112776 115107 116032 116144 119952 120768 120904 122976 123284 123952 126392 128016 130536 130662 131572 131699 136017 138176 139446 140896 142191 143472 144448 149184 149328 149352 150368 152439 153476 155448 158508 159766 159936 162504 162687 169164 170688 174048 174216 181152 181356 184926 185928 189588 191296 197358 199104 199136 203252 207264 211344 211582 215208 216672 216916 221186 224028 225552 230214 230251 232288 239649 239904 241808 245952 246568 247904 252784 256032 261072 261324 263144 263398 268583 272034 277389 278892 281792 284382 286639 286944 296037 298656 298704 300736 304878 306952 310896 317016 317373 319532 325008 325374 331779 338328 345321 348096 348432 362304 362712 369852 371856 379176 379603 394716 395097 398272 406504 414528 422688 423164 430416 433344 433832 442372 448056 451104 457317 460428 460502 464576 479298 479808 483616 488061 493136 495808 505568 512064 522144 522648 526288 526796 537166 544068 554778 557784 559181 568764 573278 573888 592074 597312 597408 609756 613904 621792 634032 634746 639064 650016 650748 663558 676656 690642 690753 696864 718947 725424 739704 743712 758352 759206 789432 790194 805749 813008 845376 846328 859917 860832 867664 884744 896112 902208 914634 920856 921004 921893 952119 958596 967232 976122 986272 995337 1011136 1044288 1045296 1052576 1053592 1074332 1088136 1109556 1115568 1118362 1137528 1138809 1146556 1184148 1185291 1194816 1219512 1227808 1243584 1268064 1269492 1278128 1300032 1301496 1327116 1353312 1381284 1381506 1393728 1437894 1450848 1479408 1487424 1516704 1518412 1578864 1580388 1611498 1626016 1677543 1692656 1719834 1721664 1735328 1769488 1792224 1829268 1841712 1842008 1843786 1880081 1904238 1917192 1952244 1972544 1990674 2006473 2072259 2090592 2105152 2107184 2148664 2176272 2219112 2231136 2236724 2275056 2277618 2293112 2368296 2370582 2417247 2439024 2455616 2536128 2538984 2556256 2579751 2602992 2654232 2706624 2762568 2763012 2765679 2875788 2901696 2958816 3033408 3036824 3157728 3160776 3222996 3252032 3355086 3385312 3416427 3439668 3470656 3538976 3584448 3658536 3683424 3684016 3687572 3760162 3808476 3834384 3904488 3914267 3981348 4012946 4144518 4181184 4214368 4297328 4352544 4438224 4462272 4473448 4550112 4555236 4586224 4736592 4741164 4834494 4872863 4878048 5032629 5077968 5112512 5159502 5205984 5308464 5525136 5526024 5531358 5640243 5751576 5917632 6019419 6073648 6315456 6321552 6445992 6453251 6710172 6770624 6832854 6879336 7077952 7317072 7366848 7368032 7375144 7520324 7616952 7668768 7808976 7828534 7962696 8025892 8289036 8297037 8428736 8594656 8705088 8876448 8946896 9100224 9110472 9172448 9473184 9482328 9668988 9745726 9756096 10065258 10155936 10319004 10411968 10616928 11050272 11052048 11062716 11280486 11503152 11742801 12038838 12147296 12643104 12891984 12906502 13420344 13665708 13758672 14045311 14618589 14634144 14736064 14750288 15040648 15233904 15337536 15617952 15657068 15925392 16051784 16578072 16594074 16920729 17189312 17752896 17893792 18058257 18220944 18344896 18946368 18964656 19337976 19359753 19491452 20130516 20311872 20638008 21233856 22100544 22104096 22125432 22560972 23006304 23485602 24077676 24294592 25286208 25783968 25813004 26840688 27331416 27517344 28090622 29237178 29268288 29500576 30081296 30467808 31235904 31314136 31850784 32103568 33156144 33188148 33841458 34110041 35228403 35787584 36116514 36441888 37929312 38675952 38719506 38982904 40261032 41276016 42135933 43855767 44208192 44250864 45121944 46012608 46971204 48155352 51567936 51626008 53681376 54662832 55034688 56181244 58079259 58474356 59001152 60162592 60935616 62628272 63701568 64207136 66312288 66376296 67682916 68220082 70456806 72233028 72883776 75858624 77351904 77439012 77965808 80522064 82552032 84271866 87711534 88501728 90243888 93942408 96310704 102330123 103252016 107362752 109325664 112362488 116158518 116948712 120325184 125256544 126407799 128414272 132624576 132752592 135365832 136440164 140913612 144466056 154703808 154878024 155931616 161044128 165104064 168543732 175423068 177003456 180487776 187884816 192621408 204660246 206504032 218651328 224724976 232317036 233897424 238770287 250513088 252815598 265505184 270731664 272880328 281827224 288932112 306990369 309756048 311863232 322088256 337087464 350846136 360975552 375769632 385242816 409320492 413008064 449449952 464634072 467794848 477540574 505631196 531010368 541463328 545760656 563654448 577864224 613980738 619512096 674174928 701692272 716310861 751539264 818640984 898899904 929268144 935589696 955081148 1011262392 1082926656 1091521312 1127308896 1155728448 1227961476 1239024192 1348349856 1403384544 1432621722 1637281968 1858536288 1910162296 2022524784 2148932583 2183042624 2254617792 2455922952 2696699712 2806769088 2865243444 3274563936 3717072576 3820324592 4045049568 4297865166 4911845904 5730486888 6549127872 7640649184 8090099136 8595730332 9823691808 11460973776 15281298368 17191460664 19647383616 22921947552 34382921328 45843895104 68765842656 137531685312
• Sum of all divisors σ(n): 510833875968
• Sum of proper divisors (its aliquot sum) s(n): 373302190656
• 137531685312 is an abundant number, because the sum of its proper divisors (373302190656) is greater than itself. Its abundance is 235770505344

Bases of 137531685312

• Binary: 10000000000101100001101111100111000000₂
• Hexadecimal: 0x200586F9C0
• Base-36: 1R6ITBK0

Squares and roots of 137531685312

• 137531685312 squared (137531685312²) is 18914964464758996537344
• 137531685312 cubed (137531685312³) is 2601406940454896825694892664291328
• The square root of 137531685312 is 370852.6463597099
• The cube root of 137531685312 is 5161.7970088631

Scales and comparisons

• 137,531,685,312 seconds is equal to 4,373 years, 4 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
• To count from 1 to 137,531,685,312 would take you about eight thousand, seven hundred forty-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 137531685312 cubic inches would be around 430.1 feet tall.

Recreational maths with 137531685312

• 137531685312 backwards is 213586135731
• The number of decimal digits it has is: 12
• The sum of 137531685312's digits is 45
• More coming soon!