40993829065728

Names of 40993829065728

• Cardinal: 40993829065728 can be written as Forty trillion, nine hundred ninety-three billion, eight hundred twenty-nine million, sixty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0993829065728 × 10¹³

Factors of 40993829065728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1251

Divisors of 40993829065728

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 41 42 44 48 56 63 64 66 72 77 82 84 88 96 99 112 123 126 128 132 144 154 164 168 176 192 198 224 231 246 252 256 264 287 288 308 328 336 352 369 384 396 448 451 462 492 504 512 528 574 576 616 656 672 693 704 738 768 792 861 896 902 924 984 1008 1024 1056 1148 1152 1187 1232 1312 1344 1353 1386 1408 1476 1536 1584 1722 1792 1804 1848 1968 2016 2112 2296 2304 2374 2464 2583 2624 2688 2706 2772 2816 2952 3072 3157 3168 3444 3561 3584 3608 3696 3936 4032 4059 4224 4592 4608 4748 4928 5166 5248 5376 5412 5544 5632 5904 6314 6336 6888 7122 7168 7216 7392 7872 8064 8118 8309 8448 9184 9216 9471 9496 9856 10332 10496 10683 10752 10824 11088 11264 11808 12628 12672 13057 13776 14244 14432 14784 15744 16128 16236 16618 16896 18368 18942 18992 19712 20664 20992 21366 21504 21648 22176 23616 24927 25256 25344 26114 27552 28413 28488 28864 29568 31488 32256 32472 33236 33792 36736 37884 37984 39171 39424 41328 41984 42732 43296 44352 47232 48667 49854 50512 50688 52228 55104 56826 56976 57728 59136 62976 64512 64944 66472 73472 74781 75768 75968 78342 78848 82656 85464 86592 88704 91399 94464 97334 99708 101024 101376 104456 110208 113652 113952 115456 117513 118272 125952 129888 132944 146001 146944 149562 151536 151936 156684 165312 170928 173184 177408 182798 188928 194668 199416 202048 208912 220416 227304 227904 230912 235026 236544 259776 265888 274197 292002 293888 299124 303072 303872 313368 330624 340669 341856 346368 354816 365596 377856 389336 398832 404096 417824 438003 440832 454608 455808 461824 470052 519552 531776 535337 548394 584004 598248 606144 607744 626736 661248 681338 683712 692736 709632 731192 778672 797664 808192 822591 835648 876006 881664 909216 911616 940104 1022007 1039104 1063552 1070674 1096788 1168008 1196496 1212288 1215488 1253472 1322496 1362676 1367424 1385472 1408969 1462384 1557344 1595328 1606011 1616384 1645182 1671296 1752012 1818432 1823232 1880208 2044014 2078208 2127104 2141348 2193576 2336016 2392992 2424576 2506944 2644992 2725352 2734848 2817938 2924768 3066021 3114688 3190656 3212022 3232768 3290364 3342592 3504024 3636864 3646464 3747359 3760416 4088028 4156416 4226907 4254208 4282696 4387152 4672032 4785984 4818033 4849152 5013888 5450704 5469696 5635876 5849536 6132042 6229376 6381312 6424044 6580728 6685184 7008048 7273728 7494718 7520832 8176056 8453814 8508416 8565392 8774304 9344064 9571968 9636066 9698304 9862783 10027776 10901408 10939392 11242077 11271752 11699072 12264084 12458752 12680721 12762624 12848088 13161456 13370368 14016096 14547456 14989436 15041664 15498659 16352112 16907628 17130784 17548608 18688128 19143936 19272132 19725566 20055552 21802816 22484154 22543504 23398144 24528168 24917504 25361442 25525248 25696176 26322912 28032192 29094912 29588349 29978872 30083328 30997318 32704224 33726231 33815256 34261568 35097216 37376256 38287872 38544264 39451132 40111104 43605632 44968308 45087008 46495977 46796288 49056336 49835008 50722884 51392352 52645824 56064384 57767729 59176698 59957744 60166656 61994636 65408448 67452462 67630512 68523136 70194432 74752512 76575744 77088528 78902264 87211264 88765047 89936616 90174016 92991954 93592576 98112672 101445768 102784704 105291648 108490613 112128768 115535458 118353396 119915488 120333312 123989272 130816896 134904924 135261024 137046272 139487931 140388864 149505024 154177056 157804528 173303187 174422528 177530094 179873232 180348032 185983908 196225344 202891536 205569408 210583296 216981226 224257536 231070916 236706792 239830976 247978544 261633792 269809848 270522048 274092544 278975862 280777728 308354112 315609056 325471839 346606374 348845056 355060188 359746464 360696064 371967816 392450688 404374103 405783072 411138816 421166592 433962452 448515072 462141832 473413584 479661952 495957088 519909561 523267584 539619696 541044096 548185088 557951724 616708224 631218112 635445019 650943678 693212748 710120376 719492928 721392128 743935632 784901376 808748206 811566144 822277632 842333184 867924904 924283664 946827168 959323904 976415517 991914176 1039819122 1046535168 1079239392 1082088192 1115903448 1213122309 1233416448 1262436224 1270890038 1301887356 1386425496 1420240752 1438985856 1442784256 1487871264 1569802752 1617496412 1623132288 1644555264 1735849808 1848567328 1893654336 1906335057 1918647808 1952831034 1983828352 2079638244 2158478784 2164176384 2231806896 2426244618 2466832896 2524872448 2541780076 2603774712 2772850992 2840481504 2877971712 2975742528 3139605504 3234992824 3246264576 3471699616 3639366927 3697134656 3787308672 3812670114 3837295616 3905662068 3967656704 4159276488 4316957568 4328352768 4448115133 4463613792 4852489236 4933665792 5049744896 5083560152 5207549424 5545701984 5680963008 5719005171 5755943424 5951485056 6469985648 6492529152 6943399232 7278733854 7394269312 7574617344 7625340228 7811324136 7935313408 8318552976 8633915136 8896230266 8927227584 9704978472 10099489792 10167120304 10415098848 11091403968 11361926016 11438010342 11511886848 11902970112 12939971296 12985058304 13344345399 13886798464 14557467708 14788538624 15149234688 15250680456 15622648272 15870626816 16637105952 17267830272 17792460532 17854455168 19409956944 20334240608 20830197696 22182807936 22723852032 22876020684 23805940224 25879942592 26688690798 27773596928 29114935416 29577077248 30298469376 30501360912 31245296544 33274211904 34535660544 35584921064 35708910336 38819913888 40033036197 40668481216 41660395392 44365615872 45447704064 45752041368 47611880448 51759885184 53377381596 55547193856 58229870832 59154154496 61002721824 62490593088 66548423808 71169842128 71417820672 77639827776 80066072394 81336962432 83320790784 88731231744 90895408128 91504082736 103519770368 106754763192 111094387712 116459741664 122005443648 124981186176 133096847616 142339684256 142835641344 155279655552 160132144788 162673924864 166641581568 177462463488 183008165472 207039540736 213509526384 232919483328 244010887296 249962372352 266193695232 284679368512 310559311104 320264289576 325347849728 333283163136 366016330944 414079081472 427019052768 465838966656 488021774592 499924744704 532387390464 569358737024 621118622208 640528579152 650695699456 732032661888 854038105536 931677933312 976043549184 999849489408 1138717474048 1242237244416 1281057158304 1464065323776 1708076211072 1863355866624 1952087098368 2277434948096 2562114316608 2928130647552 3416152422144 3726711733248 4554869896192 5124228633216 5856261295104 6832304844288 10248457266432 13664609688576 20496914532864 40993829065728
• Sum of all divisors σ(n): 151303573721664
• Sum of proper divisors (its aliquot sum) s(n): 110309744655936
• 40993829065728 is an abundant number, because the sum of its proper divisors (110309744655936) is greater than itself. Its abundance is 69315915590208

Bases of 40993829065728

• Binary: 1001010100100010011110100111101001010000000000₂
• Hexadecimal: 0x25489E9E9400
• Base-36: EJ4AZE9S0

Squares and roots of 40993829065728

• 40993829065728 squared (40993829065728²) is 1680494021470125789344169984
• 40993829065728 cubed (40993829065728³) is 68889884662124176260053354353042340708352
• The square root of 40993829065728 is 6402642.3502900737
• The cube root of 40993829065728 is 34480.4423396329

Scales and comparisons

• 40,993,829,065,728 seconds is equal to 1,303,476 years, 50 weeks, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 40,993,829,065,728 would take you about three million, two hundred fifty-eight thousand, six hundred ninety-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 40993829065728 cubic inches would be around 2873.4 feet tall.

Recreational maths with 40993829065728

• 40993829065728 backwards is 82756092839904
• 40993829065728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40993829065728's digits is 72
• More coming soon!