34485444144000

Names of 34485444144000

• Cardinal: 34485444144000 can be written as Thirty-four trillion, four hundred eighty-five billion, four hundred forty-four million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 3.4485444144 × 10¹³

Factors of 34485444144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 155638

Divisors of 34485444144000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 125 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 243 250 270 285 288 300 304 320 324 342 360 375 380 384 400 405 432 450 456 475 480 486 500 513 540 570 576 600 608 640 648 675 684 720 729 750 760 800 810 855 864 900 912 950 960 972 1000 1026 1080 1125 1140 1152 1200 1215 1216 1296 1350 1368 1425 1440 1458 1500 1520 1539 1600 1620 1710 1728 1800 1824 1900 1920 1944 2000 2025 2052 2160 2250 2280 2375 2400 2430 2432 2565 2592 2700 2736 2850 2880 2916 3000 3040 3078 3200 3240 3375 3420 3456 3600 3645 3648 3800 3888 4000 4050 4104 4275 4320 4500 4560 4617 4750 4800 4860 5130 5184 5400 5472 5700 5760 5832 6000 6075 6080 6156 6480 6750 6840 7125 7200 7290 7296 7600 7695 7776 8000 8100 8208 8550 8640 9000 9120 9234 9500 9600 9720 10125 10260 10368 10800 10944 11400 11664 12000 12150 12160 12312 12825 12960 13500 13680 13851 14250 14400 14580 15200 15390 15552 16000 16200 16416 17100 17280 18000 18225 18240 18468 19000 19440 20250 20520 21375 21600 21888 22800 23085 23328 24000 24300 24624 25650 25920 27000 27360 27702 28500 28800 29160 30375 30400 30780 31104 32400 32832 34200 36000 36450 36480 36936 38000 38475 38880 40500 41040 42750 43200 45600 46170 46656 48000 48600 49248 51300 51840 54000 54720 55404 57000 58320 60750 60800 61560 64125 64800 65664 68400 69255 72000 72900 73872 76000 76950 77760 81000 82080 85500 86400 91125 91200 92340 93312 97200 98496 102600 108000 109440 110808 114000 115425 116640 121500 123120 128250 129600 136800 138510 144000 145800 147744 152000 153900 155520 155609 162000 164160 171000 182250 182400 184680 192375 194400 196992 205200 216000 221616 228000 230850 233280 243000 246240 256500 259200 273600 277020 291600 295488 304000 307800 311218 324000 328320 342000 346275 364500 369360 384750 388800 410400 432000 443232 456000 461700 466560 466827 486000 492480 513000 547200 554040 577125 583200 590976 615600 622436 648000 684000 692550 729000 738720 769500 777600 778045 820800 886464 912000 923400 933654 972000 984960 1026000 1108080 1154250 1166400 1231200 1244872 1296000 1368000 1385100 1400481 1458000 1477440 1539000 1556090 1641600 1731375 1772928 1846800 1867308 1944000 2052000 2216160 2308500 2332800 2334135 2462400 2489744 2736000 2770200 2800962 2916000 2954880 2956571 3078000 3112180 3462750 3693600 3734616 3888000 3890225 4104000 4201443 4432320 4617000 4668270 4924800 4979488 5540400 5601924 5832000 5913142 6156000 6224360 6925500 7002405 7387200 7469232 7780450 8208000 8402886 8864640 8869713 9234000 9336540 9958976 11080800 11203848 11664000 11670675 11826284 12312000 12448720 12604329 13851000 14004810 14774400 14782855 14938464 15560900 16805772 17739426 18468000 18673080 19451125 19917952 21007215 22161600 22407696 23341350 23652568 24624000 24897440 25208658 26609139 27702000 28009620 29565710 29876928 31121800 33611544 35012025 35478852 36936000 37346160 37812987 38902250 42014430 44323200 44348565 44815392 46682700 47305136 49794880 50417316 53218278 55404000 56019240 58353375 59131420 59753856 62243600 63021645 67223088 70024050 70957704 73872000 73914275 74692320 75625974 77804500 79827417 84028860 88697130 89630784 93365400 94610272 99589760 100834632 105036075 106436556 110808000 112038480 113438961 116706750 118262840 124487200 126043290 133045695 134446176 140048100 141915408 147828550 149384640 151251948 155609000 159654834 168057720 175060125 177394260 179261568 186730800 189064935 189220544 201669264 210072150 212873112 221616000 221742825 224076960 226877922 233413500 236525680 239482251 248974400 252086580 266091390 268892352 280096200 283830816 295657100 298769280 302503896 311218000 315108225 319309668 336115440 350120250 354788520 369571375 373461600 378129870 378441088 399137085 403338528 420144300 425746224 443485650 448153920 453755844 466827000 473051360 478964502 497948800 504173160 525180375 532182780 537784704 560192400 567194805 567661632 591314200 605007792 622436000 630216450 638619336 665228475 672230880 700240500 709577040 718446753 739142750 746923200 756259740 798274170 806677056 840288600 851492448 886971300 896307840 907511688 933654000 945324675 946102720 957929004 1008346320 1050360750 1064365560 1108714125 1120384800 1134389610 1135323264 1182628400 1197411255 1210015584 1244872000 1260432900 1277238672 1330456950 1344461760 1400481000 1419154080 1436893506 1478285500 1493846400 1512519480 1575541125 1596548340 1613354112 1680577200 1702984896 1773942600 1815023376 1867308000 1890649350 1892205440 1915858008 1995685425 2016692640 2100721500 2128731120 2155340259 2217428250 2240769600 2268779220 2365256800 2394822510 2420031168 2489744000 2520865800 2554477344 2660913900 2688923520 2800962000 2835974025 2838308160 2873787012 2956571000 3025038960 3151082250 3193096680 3326142375 3361154400 3405969792 3547885200 3592233765 3630046752 3734616000 3781298700 3831716016 3991370850 4033385280 4201443000 4257462240 4310680518 4434856500 4481539200 4537558440 4726623375 4730513600 4789645020 4840062336 5041731600 5108954688 5321827800 5601924000 5671948050 5676616320 5747574024 5913142000 5987056275 6050077920 6302164500 6386193360 6652284750 6722308800 7095770400 7184467530 7260093504 7469232000 7562597400 7663432032 7982741700 8066770560 8402886000 8514924480 8621361036 8869713000 9075116880 9453246750 9461027200 9579290040 9978427125 10083463200 10217909376 10643655600 10776701295 11203848000 11343896100 11495148048 11826284000 11974112550 12100155840 12604329000 12772386720 13304569500 13444617600 14179870125 14191540800 14368935060 14520187008 15125194800 15326864064 15965483400 16805772000 17029848960 17242722072 17739426000 17961168825 18150233760 18906493500 19158580080 19956854250 20166926400 21287311200 21553402590 22407696000 22687792200 22990296096 23652568000 23948225100 24200311680 25208658000 25544773440 26609139000 28359740250 28383081600 28737870120 29935281375 30250389600 30653728128 31930966800 33611544000 34485444144 35478852000 35922337650 36300467520 37812987000 38317160160 39913708500 40333852800 42574622400 43106805180 45375584400 45980592192 47305136000 47896450200 50417316000 51089546880 53218278000 53883506475 56719480500 57475740240 59870562750 60500779200 63861933600 67223088000 68970888288 70957704000 71844675300 72600935040 75625974000 76634320320 79827417000 85149244800 86213610360 89805844125 90751168800 91961184384 95792900400 100834632000 106436556000 107767012950 113438961000 114951480480 119741125500 121001558400 127723867200 137941776576 141915408000 143689350600 151251948000 153268640640 159654834000 172427220720 179611688250 181502337600 191585800800 201669264000 212873112000 215534025900 226877922000 229902960960 239482251000 255447734400 269417532375 275883553152 287378701200 302503896000 319309668000 344854441440 359223376500 363004675200 383171601600 425746224000 431068051800 453755844000 459805921920 478964502000 538835064750 574757402400 605007792000 638619336000 689708882880 718446753000 766343203200 862136103600 907511688000 957929004000 1077670129500 1149514804800 1277238672000 1379417765760 1436893506000 1724272207200 1815023376000 1915858008000 2155340259000 2299029609600 2873787012000 3448544414400 3831716016000 4310680518000 5747574024000 6897088828800 8621361036000 11495148048000 17242722072000 34485444144000
• Sum of all divisors σ(n): 135317024388000
• Sum of proper divisors (its aliquot sum) s(n): 100831580244000
• 34485444144000 is an abundant number, because the sum of its proper divisors (100831580244000) is greater than itself. Its abundance is 66346136100000

Bases of 34485444144000

• Binary: 111110101110101000100101001011110101110000000₂
• Hexadecimal: 0x1F5D44A5EB80
• Base-36: C82E72000

Squares and roots of 34485444144000

• 34485444144000 squared (34485444144000²) is 1189245857808943892736000000
• 34485444144000 cubed (34485444144000³) is 41011671602953700836577255337984000000000
• The square root of 34485444144000 is 5872430.8547653415
• The cube root of 34485444144000 is 32549.5714186811

Scales and comparisons

• 34,485,444,144,000 seconds is equal to 1,096,530 years, 23 weeks, 4 days.
• To count from 1 to 34,485,444,144,000 would take you about two million, seven hundred forty-one thousand, three hundred twenty-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 34485444144000 cubic inches would be around 2712.5 feet tall.

Recreational maths with 34485444144000

• 34485444144000 backwards is 00044144458443
• 34485444144000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34485444144000's digits is 45
• More coming soon!