46134969384960

Names of 46134969384960

• Cardinal: 46134969384960 can be written as Forty-six trillion, one hundred thirty-four billion, nine hundred sixty-nine million, three hundred eighty-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.613496938496 × 10¹³

Factors of 46134969384960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2813

Divisors of 46134969384960

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 79 80 90 96 120 128 144 158 160 180 192 237 240 256 288 316 320 331 360 384 395 474 480 512 576 632 640 662 711 720 768 790 948 960 993 1024 1152 1185 1264 1280 1324 1422 1440 1536 1580 1655 1896 1920 1986 2048 2304 2370 2393 2528 2560 2648 2844 2880 2979 3072 3160 3310 3555 3792 3840 3972 4096 4608 4740 4786 4965 5056 5120 5296 5688 5760 5958 6144 6320 6620 7110 7179 7584 7680 7944 8192 9216 9480 9572 9930 10112 10240 10592 11376 11520 11916 11965 12288 12640 13240 14220 14358 14895 15168 15360 15888 16384 18432 18960 19144 19860 20224 20480 21184 21537 22752 23040 23832 23930 24576 25280 26149 26480 28440 28716 29790 30336 30720 31776 35895 36864 37920 38288 39720 40448 40960 42368 43074 45504 46080 47664 47860 49152 50560 52298 52960 56880 57432 59580 60672 61440 63552 71790 73728 75840 76576 78447 79440 80896 81920 84736 86148 91008 92160 95328 95720 101120 104596 105920 107685 113760 114864 119160 121344 122880 127104 130745 143580 147456 151680 153152 156894 158880 161792 169472 172296 182016 184320 189047 190656 191440 202240 209192 211840 215370 227520 229728 235341 238320 242688 245760 254208 261490 287160 303360 306304 313788 317760 323584 338944 344592 364032 368640 378094 381312 382880 392235 404480 418384 423680 430740 455040 459456 470682 476640 485376 508416 522980 567141 574320 606720 612608 627576 635520 647168 677888 689184 728064 737280 756188 762624 765760 784470 792083 808960 836768 847360 861480 910080 918912 941364 945235 953280 970752 1016832 1045960 1134282 1148640 1176705 1213440 1225216 1255152 1271040 1294336 1355776 1378368 1456128 1512376 1525248 1531520 1568940 1584166 1617920 1673536 1694720 1701423 1722960 1820160 1837824 1882728 1890470 1906560 1941504 2033664 2091920 2268564 2297280 2353410 2376249 2426880 2450432 2510304 2542080 2711552 2756736 2835705 2912256 3024752 3050496 3063040 3137880 3168332 3235840 3347072 3389440 3402846 3445920 3640320 3675648 3765456 3780940 3813120 3883008 3960415 4067328 4183840 4537128 4594560 4706820 4752498 4853760 4900864 5020608 5084160 5423104 5513472 5671410 5824512 6049504 6100992 6126080 6275760 6336664 6471680 6694144 6778880 6805692 6891840 7128747 7280640 7351296 7530912 7561880 7626240 7920830 8134656 8367680 8507115 9074256 9189120 9413640 9504996 9707520 9801728 10041216 10168320 11026944 11342820 11649024 11881245 12099008 12201984 12252160 12551520 12673328 13388288 13557760 13611384 13783680 14257494 14561280 14702592 15061824 15123760 15252480 15841660 16269312 16735360 17014230 18148512 18378240 18827280 19009992 19415040 19603456 20082432 20336640 22053888 22685640 23762490 24198016 24403968 24504320 25103040 25346656 26776576 27115520 27222768 27567360 28514988 29122560 29405184 30123648 30247520 30504960 31683320 33470720 34028460 35643735 36297024 36756480 37654560 38019984 39206912 40164864 40673280 44107776 45371280 47524980 48396032 48807936 49008640 50206080 50693312 53553152 54445536 55134720 57029976 58245120 58810368 60247296 60495040 61009920 62574557 63366640 66941440 68056920 71287470 72594048 73512960 75309120 76039968 80329728 81346560 88215552 90742560 95049960 96792064 98017280 100412160 101386624 107106304 108891072 110269440 114059952 117620736 120494592 120990080 122019840 125149114 126733280 133882880 136113840 142574940 145188096 147025920 150618240 152079936 160659456 176431104 181485120 187723671 190099920 193584128 196034560 200824320 202773248 214212608 217782144 220538880 228119904 240989184 241980160 244039680 250298228 253466560 267765760 272227680 285149880 290376192 294051840 301236480 304159872 312872785 321318912 352862208 362970240 375447342 380199840 387168256 401648640 405546496 428425216 435564288 441077760 456239808 481978368 483960320 500596456 506933120 535531520 544455360 563171013 570299760 580752384 588103680 602472960 608319744 625745570 642637824 725940480 750894684 760399680 774336512 803297280 811092992 871128576 882155520 912479616 938618355 963956736 967920640 1001192912 1013866240 1071063040 1088910720 1126342026 1140599520 1161504768 1204945920 1216639488 1251491140 1285275648 1451880960 1501789368 1520799360 1548673024 1606594560 1622185984 1742257152 1764311040 1824959232 1877236710 1927913472 1935841280 2002385824 2027732480 2142126080 2177821440 2252684052 2281199040 2323009536 2409891840 2433278976 2502982280 2815855065 2903761920 3003578736 3041598720 3097346048 3213189120 3244371968 3484514304 3649918464 3754473420 3855826944 3871682560 4004771648 4055464960 4355642880 4505368104 4562398080 4646019072 4819783680 4866557952 5005964560 5631710130 5807523840 6007157472 6083197440 6426378240 6488743936 6969028608 7299836928 7508946840 7743365120 8009543296 8110929920 8711285760 9010736208 9124796160 9292038144 9639567360 9733115904 10011929120 11263420260 11615047680 12014314944 12166394880 12977487872 13938057216 14599673856 15017893680 15486730240 16019086592 16221859840 17422571520 18021472416 18249592320 19279134720 19466231808 20023858240 22526840520 23230095360 24028629888 24332789760 27876114432 29199347712 30035787360 32038173184 32443719680 34845143040 36042944832 36499184640 38932463616 40047716480 45053681040 46460190720 48057259776 48665579520 58398695424 60071574720 64076346368 64887439360 69690286080 72085889664 72998369280 80095432960 90107362080 96114519552 97331159040 116797390848 120143149440 128152692736 139380572160 144171779328 145996738560 160190865920 180214724160 192229039104 194662318080 240286298880 256305385472 288343558656 291993477120 320381731840 360429448320 384458078208 480572597760 512610770944 576687117312 583986954240 640763463680 720858896640 768916156416 961145195520 1025221541888 1153374234624 1281526927360 1441717793280 1537832312832 1922290391040 2306748469248 2563053854720 2883435586560 3075664625664 3844580782080 4613496938496 5126107709440 5766871173120 7689161564160 9226993876992 11533742346240 15378323128320 23067484692480 46134969384960
• Sum of all divisors σ(n): 162511276112640
• Sum of proper divisors (its aliquot sum) s(n): 116376306727680
• 46134969384960 is an abundant number, because the sum of its proper divisors (116376306727680) is greater than itself. Its abundance is 70241337342720

Bases of 46134969384960

• Binary: 1010011111010110100010011101100100000000000000₂
• Hexadecimal: 0x29F5A2764000
• Base-36: GCQ41LOG0

Squares and roots of 46134969384960

• 46134969384960 squared (46134969384960²) is 2128435400151196480674201600
• 46134969384960 cubed (46134969384960³) is 98195302023840536591017987116091047936000
• The square root of 46134969384960 is 6792272.7702117499
• The cube root of 46134969384960 is 35865.4880982405

Scales and comparisons

• 46,134,969,384,960 seconds is equal to 1,466,949 years, 16 weeks, 5 days, 1 hour, 36 minutes.
• To count from 1 to 46,134,969,384,960 would take you about three million, six hundred sixty-seven thousand, three hundred seventy-three 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 46134969384960 cubic inches would be around 2988.8 feet tall.

Recreational maths with 46134969384960

• 46134969384960 backwards is 06948396943164
• 46134969384960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46134969384960's digits is 72
• More coming soon!