46401388019712

Names of 46401388019712

• Cardinal: 46401388019712 can be written as Forty-six trillion, four hundred one billion, three hundred eighty-eight million, nineteen thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 4.6401388019712 × 10¹³

Factors of 46401388019712

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 209

Divisors of 46401388019712

• Number of divisors d(n): 552
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 193 198 216 256 264 288 297 352 384 386 396 432 512 528 576 579 594 704 768 772 792 864 1024 1056 1152 1158 1188 1408 1536 1544 1584 1728 1737 2048 2112 2123 2304 2316 2376 2816 3072 3088 3168 3456 3474 4096 4224 4246 4608 4632 4752 5211 5632 6144 6176 6336 6369 6912 6948 8192 8448 8492 9216 9264 9504 10422 11264 12288 12352 12672 12738 13824 13896 16384 16896 16984 18432 18528 19008 19107 20844 22528 24576 24704 25344 25476 27648 27792 32768 33792 33968 36864 37056 37249 38016 38214 41688 45056 49152 49408 50688 50952 55296 55584 57321 65536 67584 67936 73728 74112 74498 76032 76428 83376 90112 98304 98816 101376 101904 110592 111168 111747 114642 131072 135168 135872 147456 148224 148996 152064 152856 166752 180224 196608 197632 202752 203808 221184 222336 223494 229284 262144 270336 271744 294912 296448 297992 304128 305712 333504 335241 360448 393216 395264 405504 407616 409739 442368 444672 446988 458568 524288 540672 543488 589824 592896 595984 608256 611424 667008 670482 720896 786432 790528 811008 815232 819478 884736 889344 893976 917136 1005723 1048576 1081344 1086976 1179648 1185792 1191968 1216512 1222848 1229217 1334016 1340964 1441792 1572864 1581056 1622016 1630464 1638956 1769472 1778688 1787952 1834272 2011446 2097152 2162688 2173952 2359296 2371584 2383936 2433024 2445696 2458434 2668032 2681928 2883584 3145728 3162112 3244032 3260928 3277912 3538944 3557376 3575904 3668544 3687651 4022892 4194304 4325376 4347904 4718592 4743168 4767872 4866048 4891392 4916868 5336064 5363856 5767168 6291456 6324224 6488064 6521856 6555824 7077888 7114752 7151808 7337088 7375302 8045784 8650752 8695808 9437184 9486336 9535744 9732096 9782784 9833736 10672128 10727712 11062953 11534336 12582912 12648448 12976128 13043712 13111648 14155776 14229504 14303616 14674176 14750604 16091568 17301504 17391616 18874368 18972672 19071488 19464192 19565568 19667472 21344256 21455424 22125906 23068672 25296896 25952256 26087424 26223296 28311552 28459008 28607232 29348352 29501208 32183136 34603008 34783232 37748736 37945344 38142976 38928384 39131136 39334944 42688512 42910848 44251812 46137344 50593792 51904512 52174848 52446592 56623104 56918016 57214464 58696704 59002416 64366272 69206016 69566464 75890688 76285952 77856768 78262272 78669888 85377024 85821696 88503624 101187584 103809024 104349696 104893184 113246208 113836032 114428928 117393408 118004832 128732544 138412032 139132928 151781376 152571904 155713536 156524544 157339776 170754048 171643392 177007248 202375168 207618048 208699392 209786368 227672064 228857856 234786816 236009664 257465088 278265856 303562752 305143808 311427072 313049088 314679552 341508096 343286784 354014496 404750336 415236096 417398784 419572736 455344128 457715712 469573632 472019328 514930176 556531712 607125504 610287616 622854144 626098176 629359104 683016192 686573568 708028992 809500672 834797568 839145472 910688256 915431424 939147264 944038656 1029860352 1113063424 1214251008 1220575232 1245708288 1252196352 1258718208 1366032384 1373147136 1416057984 1669595136 1678290944 1821376512 1830862848 1878294528 1888077312 2059720704 2226126848 2428502016 2441150464 2504392704 2517436416 2732064768 2746294272 2832115968 3339190272 3356581888 3642753024 3661725696 3756589056 3776154624 4119441408 4452253696 4882300928 5008785408 5034872832 5464129536 5492588544 5664231936 6678380544 6713163776 7285506048 7323451392 7513178112 7552309248 8238882816 8904507392 9764601856 10017570816 10069745664 10928259072 10985177088 11328463872 13356761088 13426327552 14646902784 15026356224 15104618496 16477765632 19529203712 20035141632 20139491328 21856518144 21970354176 22656927744 26713522176 26852655104 29293805568 30052712448 30209236992 32955531264 39058407424 40070283264 40278982656 43940708352 45313855488 53705310208 58587611136 60105424896 60418473984 65911062528 78116814848 80140566528 80557965312 87881416704 90627710976 107410620416 117175222272 120210849792 120836947968 131822125056 156233629696 161115930624 175762833408 181255421952 214821240832 234350444544 240421699584 241673895936 263644250112 322231861248 351525666816 362510843904 429642481664 468700889088 483347791872 527288500224 644463722496 703051333632 725021687808 859284963328 966695583744 1054577000448 1288927444992 1406102667264 1450043375616 1718569926656 1933391167488 2109154000896 2577854889984 2900086751232 3866782334976 4218308001792 5155709779968 5800173502464 7733564669952 11600347004928 15467129339904 23200694009856 46401388019712
• Sum of all divisors σ(n): 150765413712480
• Sum of proper divisors (its aliquot sum) s(n): 104364025692768
• 46401388019712 is an abundant number, because the sum of its proper divisors (104364025692768) is greater than itself. Its abundance is 57962637673056

Bases of 46401388019712

• Binary: 1010100011001110101010010000000000000000000000₂
• Hexadecimal: 0x2A33AA400000
• Base-36: GG4I4DMO0

Squares and roots of 46401388019712

• 46401388019712 squared (46401388019712²) is 2153088810155872320900562944
• 46401388019712 cubed (46401388019712³) is 99906309320942658666360085772558168752128
• The square root of 46401388019712 is 6811856.4297636221
• The cube root of 46401388019712 is 35934.3938921455

Scales and comparisons

• 46,401,388,019,712 seconds is equal to 1,475,420 years, 31 weeks, 5 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 46,401,388,019,712 would take you about three million, six hundred eighty-eight thousand, five hundred fifty-one 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 46401388019712 cubic inches would be around 2994.5 feet tall.

Recreational maths with 46401388019712

• 46401388019712 backwards is 21791088310464
• 46401388019712 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46401388019712's digits is 54
• More coming soon!