345765608448000

Names of 345765608448000

• Cardinal: 345765608448000 can be written as Three hundred forty-five trillion, seven hundred sixty-five billion, six hundred eight million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 3.45765608448 × 10¹⁴

Factors of 345765608448000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 6737

Divisors of 345765608448000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 750 768 780 800 832 960 975 1000 1024 1040 1200 1248 1280 1300 1500 1536 1560 1600 1625 1664 1741 1920 1950 2000 2048 2080 2400 2496 2560 2600 3000 3072 3120 3200 3250 3328 3482 3840 3900 4000 4096 4160 4800 4875 4973 4992 5120 5200 5223 6000 6144 6240 6400 6500 6656 6964 7680 7800 8000 8192 8320 8705 9600 9750 9946 9984 10240 10400 10446 12000 12288 12480 12800 13000 13312 13928 14919 15360 15600 16000 16640 17410 19200 19500 19892 19968 20480 20800 20892 22633 24000 24576 24865 24960 25600 26000 26115 26624 27856 29838 30720 31200 32000 33280 34820 38400 39000 39784 39936 40960 41600 41784 43525 45266 48000 49730 49920 51200 52000 52230 53248 55712 59676 61440 62400 64000 64649 66560 67899 69640 74595 76800 78000 79568 79872 83200 83568 87050 90532 96000 99460 99840 102400 104000 104460 106496 111424 113165 119352 122880 124325 124800 128000 129298 130575 133120 135798 139280 149190 153600 156000 159136 159744 166400 167136 174100 181064 192000 193947 198920 199680 204800 208000 208920 217625 222848 226330 238704 248650 249600 256000 258596 261150 266240 271596 278560 298380 307200 312000 318272 319488 323245 332800 334272 339495 348200 362128 372975 384000 387894 397840 399360 416000 417840 435250 445696 452660 477408 497300 499200 512000 517192 522300 532480 543192 557120 565825 596760 614400 621625 624000 636544 646490 652875 665600 668544 678990 696400 724256 745950 768000 775788 795680 798720 832000 835680 870500 891392 905320 954816 969735 994600 998400 1024000 1034384 1044600 1086384 1114240 1131650 1193520 1243250 1248000 1273088 1292980 1305750 1331200 1337088 1357980 1392800 1448512 1491900 1536000 1551576 1591360 1597440 1616225 1664000 1671360 1697475 1741000 1782784 1810640 1864875 1909632 1939470 1989200 1996800 2068768 2089200 2172768 2228480 2263300 2387040 2486500 2496000 2546176 2585960 2611500 2662400 2674176 2715960 2785600 2829125 2897024 2983800 3072000 3103152 3182720 3232450 3328000 3342720 3394950 3482000 3565568 3621280 3729750 3819264 3878940 3978400 3993600 4137536 4178400 4345536 4456960 4526600 4774080 4848675 4973000 4992000 5092352 5171920 5223000 5348352 5431920 5571200 5658250 5794048 5967600 6206304 6365440 6464900 6656000 6685440 6789900 6964000 7131136 7242560 7459500 7638528 7757880 7956800 7987200 8081125 8275072 8356800 8487375 8657993 8691072 8913920 9053200 9548160 9697350 9946000 9984000 10184704 10343840 10446000 10696704 10863840 11142400 11316500 11588096 11935200 12412608 12730880 12929800 13312000 13370880 13579800 13928000 14262272 14485120 14919000 15277056 15515760 15913600 16162250 16550144 16713600 16974750 17315986 17382144 17827840 18106400 19096320 19394700 19892000 19968000 20369408 20687680 20892000 21393408 21727680 22284800 22633000 23176192 23870400 24243375 24825216 25461760 25859600 25973979 26741760 27159600 27856000 28970240 29838000 30554112 31031520 31827200 32324500 33100288 33427200 33949500 34631972 34764288 35655680 36212800 38192640 38789400 39784000 39936000 40738816 41375360 41784000 42786816 43289965 43455360 44569600 45266000 46352384 47740800 48486750 49650432 50923520 51719200 51947958 53483520 54319200 55712000 57940480 59676000 61108224 62063040 63654400 64649000 66200576 66854400 67899000 69263944 69528576 71311360 72425600 76385280 77578800 79568000 82750720 83568000 86579930 86910720 89139200 90532000 92704768 95481600 96973500 99300864 101847040 103438400 103895916 106967040 108638400 111424000 112553909 115880960 119352000 122216448 124126080 127308800 129298000 129869895 132401152 133708800 135798000 138527888 139057152 144851200 152770560 155157600 159136000 165501440 167136000 173159860 173821440 178278400 181064000 185409536 190963200 193947000 198601728 203694080 206876800 207791832 213934080 216449825 217276800 222848000 225107818 231761920 238704000 248252160 254617600 258596000 259739790 264802304 267417600 271596000 277055776 278114304 289702400 305541120 310315200 318272000 331002880 334272000 337661727 346319720 347642880 356556800 362128000 381926400 387894000 397203456 413753600 415583664 432899650 434553600 445696000 450215636 463523840 477408000 496504320 509235200 517192000 519479580 529604608 534835200 543192000 554111552 556228608 562769545 579404800 611082240 620630400 636544000 649349475 662005760 668544000 675323454 692639440 695285760 724256000 763852800 775788000 794406912 827507200 831167328 865799300 869107200 891392000 900431272 927047680 954816000 993008640 1018470400 1034384000 1038959160 1069670400 1082249125 1086384000 1108223104 1125539090 1158809600 1241260800 1273088000 1298698950 1324011520 1337088000 1350646908 1385278880 1390571520 1448512000 1527705600 1551576000 1588813824 1655014400 1662334656 1688308635 1731598600 1738214400 1782784000 1800862544 1909632000 1986017280 2068768000 2077918320 2164498250 2172768000 2216446208 2251078180 2317619200 2482521600 2546176000 2597397900 2648023040 2674176000 2701293816 2770557760 2781143040 2813847725 2897024000 3055411200 3103152000 3246747375 3310028800 3324669312 3376617270 3463197200 3476428800 3601725088 3819264000 3972034560 4137536000 4155836640 4328996500 4345536000 4432892416 4502156360 4635238400 4965043200 5092352000 5194795800 5348352000 5402587632 5541115520 5627695450 5794048000 6206304000 6493494750 6620057600 6649338624 6753234540 6926394400 6952857600 7203450176 7638528000 7944069120 8275072000 8311673280 8441543175 8657993000 8691072000 8865784832 9004312720 9930086400 10389591600 10805175264 11082231040 11255390900 11588096000 12412608000 12986989500 13240115200 13298677248 13506469080 13852788800 13905715200 14069238625 14406900352 15277056000 16550144000 16623346560 16883086350 17315986000 17382144000 17731569664 18008625440 19860172800 20779183200 21610350528 22164462080 22510781800 23176192000 24825216000 25973979000 26597354496 27012938160 27705577600 28138477250 28813800704 33100288000 33246693120 33766172700 34631972000 34764288000 35463139328 36017250880 39720345600 41558366400 42207715875 43220701056 44328924160 45021563600 49650432000 51947958000 53194708992 54025876320 55411155200 56276954500 57627601408 66200576000 66493386240 67532345400 69263944000 69528576000 70926278656 72034501760 83116732800 84415431750 86441402112 88657848320 90043127200 99300864000 103895916000 106389417984 108051752640 110822310400 112553909000 115255202816 132986772480 135064690800 138527888000 144069003520 166233465600 168830863500 172882804224 177315696640 180086254400 198601728000 207791832000 212778835968 216103505280 221644620800 225107818000 230510405632 265973544960 270129381600 277055776000 288138007040 332466931200 337661727000 345765608448 354631393280 360172508800 415583664000 432207010560 443289241600 450215636000 461020811264 531947089920 540258763200 554111552000 576276014080 664933862400 675323454000 691531216896 720345017600 831167328000 864414021120 886578483200 900431272000 922041622528 1063894179840 1080517526400 1108223104000 1152552028160 1329867724800 1350646908000 1383062433792 1440690035200 1662334656000 1728828042240 1773156966400 1800862544000 2161035052800 2216446208000 2305104056320 2659735449600 2701293816000 2766124867584 2881380070400 3324669312000 3457656084480 3601725088000 4322070105600 4432892416000 4610208112640 5319470899200 5402587632000 5762760140800 6649338624000 6915312168960 7203450176000 8644140211200 8865784832000 10805175264000 11525520281600 13298677248000 13830624337920 14406900352000 17288280422400 21610350528000 23051040563200 26597354496000 28813800704000 34576560844800 43220701056000 57627601408000 69153121689600 86441402112000 115255202816000 172882804224000 345765608448000
• Sum of all divisors σ(n): 1240109367928704
• Sum of proper divisors (its aliquot sum) s(n): 894343759480704
• 345765608448000 is an abundant number, because the sum of its proper divisors (894343759480704) is greater than itself. Its abundance is 548578151032704

Bases of 345765608448000

• Binary: 1001110100111100011010100010001000110000000000000₂
• Hexadecimal: 0x13A78D4446000
• Base-36: 3EKAIZV6YO

Squares and roots of 345765608448000

• 345765608448000 squared (345765608448000²) is 119553855985415648968704000000
• 345765608448000 cubed (345765608448000³) is 41337611757101808479844722270011392000000000
• The square root of 345765608448000 is 18594773.6863883343
• The cube root of 345765608448000 is 70187.6332335897

Scales and comparisons

• 345,765,608,448,000 seconds is equal to 10,994,276 years, 42 weeks, 6 days, 10 hours, 40 minutes.
• To count from 1 to 345,765,608,448,000 would take you about twenty-seven million, four hundred eighty-five 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 345765608448000 cubic inches would be around 5849 feet tall.

Recreational maths with 345765608448000

• 345765608448000 backwards is 000844806567543
• 345765608448000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345765608448000's digits is 60
• More coming soon!