20444913664000

Names of 20444913664000

• Cardinal: 20444913664000 can be written as Twenty trillion, four hundred forty-four billion, nine hundred thirteen million, six hundred sixty-four thousand.

Scientific notation

• Scientific notation: 2.0444913664 × 10¹³

Factors of 20444913664000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 98

Divisors of 20444913664000

• Number of divisors d(n): 1224
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 53 56 62 64 70 80 98 100 106 112 124 125 128 140 155 160 175 196 200 212 217 224 245 248 250 256 265 280 310 320 350 371 392 400 424 434 448 490 496 500 512 530 560 620 640 700 742 775 784 800 848 868 875 896 961 980 992 1000 1024 1060 1085 1120 1225 1240 1280 1325 1400 1484 1519 1550 1568 1600 1643 1696 1736 1750 1792 1855 1922 1960 1984 2000 2048 2120 2170 2240 2450 2480 2560 2597 2650 2800 2968 3038 3100 3136 3200 3286 3392 3472 3500 3584 3710 3844 3875 3920 3968 4000 4096 4240 4340 4480 4805 4900 4960 5120 5194 5300 5425 5600 5936 6076 6125 6200 6272 6400 6572 6625 6727 6784 6944 7000 7168 7420 7595 7688 7750 7840 7936 8000 8192 8215 8480 8680 8960 9275 9610 9800 9920 10240 10388 10600 10850 11200 11501 11872 12152 12250 12400 12544 12800 12985 13144 13250 13454 13568 13888 14000 14336 14840 15190 15376 15500 15680 15872 16000 16384 16430 16960 17360 17920 18550 19220 19600 19840 20480 20776 21200 21700 22400 23002 23744 24025 24304 24500 24800 25088 25600 25970 26288 26500 26908 27125 27136 27776 28000 28672 29680 30380 30752 31000 31360 31744 32000 32768 32860 33635 33920 34720 35840 37100 37975 38440 39200 39680 40960 41075 41552 42400 43400 44800 46004 46375 47089 47488 48050 48608 49000 49600 50176 50933 51200 51940 52576 53000 53816 54250 54272 55552 56000 57344 57505 59360 60760 61504 62000 62720 63488 64000 64925 65536 65720 67270 67840 69440 71680 74200 75950 76880 78400 79360 80507 81920 82150 83104 84800 86800 89600 92008 92750 94178 94976 96100 97216 98000 99200 100352 101866 102400 103880 105152 106000 107632 108500 108544 111104 112000 114688 115010 118720 120125 121520 123008 124000 125440 126976 128000 129850 131440 134540 135680 138880 143360 148400 151900 153760 156800 158720 161014 163840 164300 166208 168175 169600 173600 179200 184016 185500 188356 189875 189952 192200 194432 196000 198400 200704 203732 204800 205375 207760 210304 212000 215264 217000 217088 222208 224000 229376 230020 235445 237440 240250 243040 246016 248000 250880 253952 254665 256000 259700 262880 269080 271360 277760 286720 287525 296800 303800 307520 313600 317440 322028 324625 327680 328600 332416 336350 339200 347200 356531 358400 368032 371000 376712 379750 379904 384400 388864 392000 396800 401408 402535 407464 409600 410750 415520 420608 424000 430528 434000 434176 444416 448000 458752 460040 470890 474880 480500 486080 492032 496000 501760 507904 509330 512000 519400 525760 538160 542720 555520 573440 575050 593600 607600 615040 627200 634880 644056 649250 657200 664832 672700 678400 694400 713062 716800 736064 742000 753424 759500 759808 768800 777728 784000 793600 802816 805070 814928 819200 821500 831040 840875 841216 848000 861056 868000 868352 888832 896000 920080 941780 949760 961000 972160 984064 992000 1003520 1015808 1018660 1024000 1038800 1051520 1076320 1085440 1111040 1146880 1150100 1177225 1187200 1215200 1230080 1254400 1269760 1273325 1288112 1298500 1314400 1329664 1345400 1356800 1388800 1426124 1433600 1437625 1472128 1484000 1506848 1519000 1519616 1537600 1555456 1568000 1587200 1605632 1610140 1629856 1638400 1643000 1662080 1681750 1682432 1696000 1722112 1736000 1736704 1777664 1782655 1792000 1840160 1883560 1899520 1922000 1944320 1968128 1984000 2007040 2012675 2031616 2037320 2048000 2077600 2103040 2152640 2170880 2222080 2293760 2300200 2354450 2374400 2430400 2460160 2495717 2508800 2539520 2546650 2576224 2597000 2628800 2659328 2690800 2713600 2777600 2852248 2867200 2875250 2944256 2968000 3013696 3038000 3039232 3075200 3110912 3136000 3174400 3211264 3220280 3259712 3286000 3324160 3363500 3364864 3392000 3444224 3472000 3473408 3555328 3565310 3584000 3680320 3767120 3799040 3844000 3888640 3936256 3968000 4014080 4025350 4074640 4096000 4155200 4206080 4305280 4341760 4444160 4600400 4708900 4748800 4860800 4920320 4991434 5017600 5079040 5093300 5152448 5194000 5257600 5318656 5381600 5427200 5555200 5704496 5734400 5750500 5886125 5888512 5936000 6027392 6076000 6078464 6150400 6221824 6272000 6348800 6366625 6440560 6519424 6572000 6648320 6727000 6729728 6784000 6888448 6944000 7110656 7130620 7168000 7360640 7534240 7598080 7688000 7777280 7872512 7936000 8028160 8050700 8149280 8192000 8310400 8412160 8610560 8683520 8888320 8913275 9200800 9417800 9497600 9721600 9840640 9982868 10035200 10063375 10158080 10186600 10304896 10388000 10515200 10637312 10763200 10854400 11110400 11408992 11468800 11501000 11772250 11777024 11872000 12054784 12152000 12156928 12300800 12443648 12478585 12544000 12697600 12733250 12881120 13038848 13144000 13296640 13454000 13459456 13568000 13776896 13888000 14221312 14261240 14336000 14721280 15068480 15196160 15376000 15554560 15745024 15872000 16056320 16101400 16298560 16620800 16824320 17221120 17367040 17776640 17826550 18401600 18835600 18995200 19443200 19681280 19965736 20070400 20126750 20373200 20609792 20776000 21030400 21274624 21526400 21708800 22220800 22817984 23002000 23544500 23554048 23744000 24109568 24304000 24313856 24601600 24887296 24957170 25088000 25395200 25466500 25762240 26077696 26288000 26593280 26908000 26918912 27136000 27553792 27776000 28522480 28672000 29442560 30136960 30392320 30752000 31109120 31490048 31744000 32202800 32597120 33241600 33648640 34442240 35553280 35653100 36803200 37671200 37990400 38886400 39362560 39931472 40140800 40253500 40746400 41219584 41552000 42060800 42549248 43052800 43417600 44441600 44566375 45635968 46004000 47089000 47108096 47488000 48219136 48608000 49203200 49774592 49914340 50176000 50790400 50933000 51524480 52155392 52576000 53186560 53816000 53837824 54272000 55107584 55552000 57044960 57344000 58885120 60273920 60784640 61504000 62218240 62392925 62980096 63488000 64405600 65194240 66483200 67297280 68884480 71106560 71306200 73606400 75342400 75980800 77772800 78725120 79862944 80281600 80507000 81492800 82439168 83104000 84121600 85098496 86105600 86835200 88883200 89132750 91271936 92008000 94178000 94216192 94976000 96438272 97216000 98406400 99549184 99828680 100352000 101866000 103048960 104310784 105152000 106373120 107632000 107675648 108544000 110215168 111104000 114089920 117770240 120547840 121569280 123008000 124436480 124785850 126976000 128811200 130388480 132966400 134594560 137768960 142612400 147212800 150684800 151961600 155545600 157450240 159725888 161014000 162985600 164878336 166208000 168243200 170196992 172211200 177766400 178265500 182543872 184016000 188356000 188432384 189952000 192876544 194432000 196812800 199657360 200704000 203732000 206097920 208621568 210304000 212746240 215264000 217088000 220430336 222208000 228179840 235540480 241095680 246016000 248872960 249571700 253952000 257622400 260776960 265932800 269189120 275537920 285224800 294425600 301369600 303923200 311091200 311964625 314900480 319451776 322028000 325971200 329756672 332416000 336486400 344422400 355532800 356531000 365087744 368032000 376712000 376864768 379904000 385753088 388864000 393625600 399314720 401408000 407464000 412195840 417243136 420608000 425492480 430528000 434176000 440860672 444416000 456359680 471080960 482191360 492032000 497745920 499143400 515244800 521553920 531865600 538378240 551075840 570449600 588851200 602739200 607846400 622182400 623929250 638903552 644056000 651942400 659513344 664832000 672972800 688844800 713062000 730175488 736064000 753424000 753729536 759808000 771506176 777728000 787251200 798629440 814928000 824391680 834486272 841216000 850984960 861056000 888832000 912719360 942161920 964382720 984064000 998286800 1030489600 1043107840 1063731200 1102151680 1140899200 1177702400 1205478400 1244364800 1247858500 1277807104 1288112000 1303884800 1319026688 1329664000 1345945600 1377689600 1426124000 1460350976 1472128000 1506848000 1519616000 1543012352 1555456000 1574502400 1597258880 1629856000 1648783360 1668972544 1682432000 1722112000 1777664000 1825438720 1884323840 1928765440 1968128000 1996573600 2060979200 2086215680 2127462400 2204303360 2281798400 2355404800 2410956800 2488729600 2495717000 2555614208 2576224000 2607769600 2638053376 2659328000 2691891200 2755379200 2852248000 2920701952 2944256000 3013696000 3039232000 3086024704 3110912000 3194517760 3259712000 3297566720 3337945088 3364864000 3444224000 3650877440 3768647680 3857530880 3936256000 3993147200 4121958400 4172431360 4254924800 4563596800 4710809600 4821913600 4991434000 5111228416 5152448000 5215539200 5276106752 5318656000 5510758400 5704496000 5841403904 5888512000 6027392000 6221824000 6389035520 6519424000 6595133440 6729728000 6888448000 7301754880 7715061760 7872512000 7986294400 8243916800 8344862720 9127193600 9421619200 9643827200 9982868000 10222456832 10304896000 10431078400 10637312000 11021516800 11408992000 11682807808 11777024000 12054784000 12443648000 12778071040 13038848000 13190266880 13459456000 13776896000 14603509760 15430123520 15972588800 16487833600 16689725440 18254387200 18843238400 19287654400 19965736000 20444913664 20609792000 20862156800 21274624000 22817984000 23365615616 23554048000 24109568000 25556142080 26077696000 26380533760 27553792000 29207019520 31945177600 32975667200 36508774400 38575308800 39931472000 40889827328 41219584000 41724313600 45635968000 47108096000 48219136000 51112284160 52155392000 55107584000 58414039040 63890355200 65951334400 73017548800 77150617600 79862944000 81779654656 82439168000 83448627200 91271936000 94216192000 96438272000 102224568320 104310784000 116828078080 127780710400 131902668800 146035097600 159725888000 163559309312 164878336000 182543872000 192876544000 204449136640 208621568000 255561420800 292070195200 319451776000 329756672000 365087744000 385753088000 408898273280 417243136000 511122841600 584140390400 638903552000 659513344000 730175488000 817796546560 1022245683200 1277807104000 1460350976000 2044491366400 2555614208000 2920701952000 4088982732800 5111228416000 10222456832000 20444913664000
• Sum of all divisors σ(n): 62495547228504
• Sum of proper divisors (its aliquot sum) s(n): 42050633564504
• 20444913664000 is an abundant number, because the sum of its proper divisors (42050633564504) is greater than itself. Its abundance is 21605719900504

Bases of 20444913664000

• Binary: 100101001100000110011110100010000000000000000₂
• Hexadecimal: 0x129833D10000
• Base-36: 78W9HQ1OG

Squares and roots of 20444913664000

• 20444913664000 squared (20444913664000²) is 417994494728413904896000000
• 20444913664000 cubed (20444913664000³) is 8545861356749725413255826898944000000000
• The square root of 20444913664000 is 4521605.2087726545
• The cube root of 20444913664000 is 27343.9820516629

Scales and comparisons

• 20,444,913,664,000 seconds is equal to 650,085 years, 5 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 20,444,913,664,000 would take you about one million, six hundred twenty-five thousand, two hundred twelve 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 20444913664000 cubic inches would be around 2278.7 feet tall.

Recreational maths with 20444913664000

• 20444913664000 backwards is 00046631944402
• The number of decimal digits it has is: 14
• The sum of 20444913664000's digits is 43
• More coming soon!