21948744064000

Names of 21948744064000

• Cardinal: 21948744064000 can be written as Twenty-one trillion, nine hundred forty-eight billion, seven hundred forty-four million, sixty-four thousand.

Scientific notation

• Scientific notation: 2.1948744064 × 10¹³

Factors of 21948744064000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 574

Divisors of 21948744064000

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 64 65 68 76 80 85 95 97 100 104 125 128 130 136 152 160 170 190 194 200 208 221 247 250 256 260 272 304 320 323 325 340 380 388 400 416 421 425 442 475 485 494 500 512 520 544 608 640 646 650 680 760 776 800 832 842 850 884 950 970 988 1000 1024 1040 1088 1105 1216 1235 1261 1280 1292 1300 1360 1520 1552 1600 1615 1625 1649 1664 1684 1700 1768 1843 1900 1940 1976 2000 2080 2105 2125 2176 2210 2375 2425 2432 2470 2522 2560 2584 2600 2720 3040 3104 3200 3230 3250 3298 3328 3368 3400 3536 3686 3800 3880 3952 4000 4160 4199 4210 4250 4352 4420 4750 4850 4864 4940 5044 5120 5168 5200 5440 5473 5525 6080 6175 6208 6305 6400 6460 6500 6596 6656 6736 6800 7072 7157 7372 7600 7760 7904 7999 8000 8075 8245 8320 8398 8420 8500 8704 8840 9215 9500 9700 9728 9880 10088 10336 10400 10525 10880 10946 11050 12125 12160 12350 12416 12610 12800 12920 13000 13192 13312 13472 13600 14144 14314 14744 15200 15520 15808 15998 16000 16150 16490 16640 16796 16840 17000 17408 17680 18430 19000 19400 19456 19760 20176 20672 20800 20995 21050 21437 21760 21892 22100 23959 24250 24320 24700 24832 25220 25600 25840 26000 26384 26944 27200 27365 27625 28288 28628 29488 30400 30875 31040 31331 31525 31616 31996 32000 32300 32980 33280 33592 33680 34000 35360 35785 36860 38000 38800 39520 39995 40352 40375 40837 41225 41344 41600 41990 42100 42874 43520 43784 44200 46075 47918 48500 48640 49400 49664 50440 51680 52000 52625 52768 53888 54400 54730 55250 56576 57256 58976 60800 61750 62080 62662 63050 63232 63992 64000 64600 65960 66560 67184 67360 68000 70720 71570 73720 76000 77600 79040 79990 80704 80750 81674 82450 82688 83200 83980 84200 85748 87040 87568 88400 92150 93041 95836 97000 97280 98800 99328 100880 103360 103987 104000 104975 105250 105536 107185 107776 108800 109460 110500 113152 114512 117952 119795 121600 123500 124160 125324 126100 126464 127984 128000 129200 131920 134368 134720 135983 136000 136825 141440 143140 147440 152000 155200 156655 157625 158080 159980 161408 161500 163348 164900 165376 166400 167960 168400 171496 175136 176800 178925 184300 186082 191672 194000 197600 199975 201760 204185 206125 206720 207974 208000 209950 210500 211072 214370 215552 217600 218920 221000 226304 229024 230375 235904 239590 243200 247000 248320 250648 252200 252928 255968 258400 263840 268736 269440 271966 272000 273650 282880 286280 294880 304000 310400 313310 315250 316160 319960 322816 323000 326696 329800 330752 332800 335920 336800 342992 350272 353600 357850 368600 372164 383344 388000 395200 399950 403520 407303 408370 412250 413440 415948 416000 419900 421000 422144 428740 431104 435200 437840 442000 458048 460750 465205 471808 479180 486400 494000 496640 501296 504400 511936 516800 519935 524875 527680 530881 535925 537472 538880 543932 544000 547300 565760 572560 589760 598975 608000 620800 626620 630500 632320 639920 645632 646000 653392 659600 671840 673600 679915 684125 685984 694229 700544 707200 715700 737200 744328 766688 775903 776000 783275 790400 799900 807040 814606 816740 824500 826880 831896 832000 839800 842000 844288 857480 875680 884000 894625 916096 921500 930410 943616 958360 988000 999875 1002592 1008800 1020925 1023872 1033600 1039870 1049750 1055360 1061762 1071850 1074944 1077760 1087864 1088000 1094600 1131520 1145120 1179520 1197950 1216000 1241600 1253240 1261000 1264640 1279840 1291264 1292000 1306784 1319200 1343680 1347200 1359830 1368250 1371968 1388458 1401088 1414400 1431400 1474400 1488656 1533376 1551806 1552000 1566550 1580800 1599800 1614080 1629212 1633480 1649000 1653760 1663792 1664000 1679600 1684000 1688576 1714960 1751360 1767779 1768000 1789250 1832192 1843000 1860820 1887232 1916720 1976000 1999750 2005184 2017600 2036515 2041850 2047744 2067200 2079740 2099500 2110720 2123524 2143700 2149888 2155520 2175728 2176000 2189200 2290240 2326025 2359040 2395900 2432000 2483200 2506480 2522000 2559680 2584000 2599675 2613568 2638400 2654405 2679625 2687360 2694400 2719660 2736500 2743936 2776916 2802176 2828800 2862800 2948800 2977312 2994875 3066752 3103612 3104000 3133100 3161600 3199600 3228160 3258424 3266960 3298000 3327584 3359200 3368000 3399575 3429920 3471145 3502720 3535558 3536000 3578500 3664384 3686000 3721640 3833440 3879515 3916375 3952000 3999500 4010368 4035200 4073030 4083700 4095488 4134400 4159480 4199000 4221440 4247048 4287400 4299776 4351456 4378400 4580480 4652050 4718080 4791800 5012960 5044000 5104625 5119360 5168000 5199350 5227136 5276800 5308810 5359250 5374720 5388800 5439320 5473000 5487872 5553832 5604352 5657600 5725600 5897600 5954624 5989750 6133504 6207224 6208000 6266200 6323200 6399200 6456320 6516848 6533920 6596000 6655168 6718400 6736000 6799150 6859840 6942290 7005440 7071116 7072000 7157000 7328768 7372000 7443280 7666880 7759030 7832750 7904000 7999000 8020736 8070400 8146060 8167400 8190976 8268800 8318960 8398000 8442880 8494096 8574800 8702912 8756800 8838895 9024977 9160960 9304100 9436160 9583600 10025920 10086739 10088000 10182575 10209250 10238720 10336000 10398700 10454272 10553600 10617620 10718500 10749440 10777600 10878640 10946000 10975744 11107664 11451200 11630125 11795200 11909248 11979500 12267008 12414448 12416000 12532400 12798400 12998375 13033696 13067840 13190351 13192000 13272025 13310336 13436800 13472000 13598300 13719680 13884580 14010880 14142232 14144000 14314000 14744000 14886560 15333760 15518060 15665500 15808000 15998000 16041472 16140800 16292120 16334800 16637920 16796000 16988192 16997875 17149600 17355725 17405824 17513600 17677790 18049954 18321920 18608200 19167200 19397575 20051840 20173478 20176000 20365150 20418500 20477440 20672000 20797400 20908544 21107200 21235240 21437000 21498880 21757280 21892000 21951488 22215328 22902400 23260250 23590400 23818496 23959000 24534016 24828896 25064800 25596800 25996750 26067392 26135680 26380702 26384000 26544050 26620672 26873600 26944000 27196600 27439360 27769160 28021760 28284464 28288000 28628000 29488000 29773120 30667520 31036120 31331000 31616000 31996000 32082944 32281600 32584240 32669600 33275840 33592000 33976384 33995750 34299200 34711450 34811648 35027200 35355580 36099908 36643840 37216400 38334400 38795150 40103680 40346956 40352000 40730300 40837000 40954880 41344000 41594800 41817088 42214400 42470480 42874000 43514560 43784000 44194475 44430656 45124885 45804800 46520500 47180800 47636992 47918000 49657792 50129600 50433695 50912875 51193600 51993500 52134784 52271360 52761404 52768000 53088100 53241344 53747200 53888000 54393200 54878720 55538320 56568928 57256000 58976000 59546240 61335040 62072240 62662000 63992000 65168480 65339200 65951755 66360125 66551680 67184000 67952768 67991500 68598400 69422900 69623296 70054400 70711160 72199816 74432800 76668800 77590300 80207360 80693912 80704000 81460600 81674000 83189600 84940960 85748000 86778625 87029120 87568000 88388950 88861312 90249770 91609600 93041000 95273984 95836000 96987875 99315584 100259200 100867390 101825750 102387200 103987000 104269568 104542720 105522808 105536000 106176200 106482688 107494400 108786400 109757440 111076640 113137856 114512000 117952000 119092480 122670080 124144480 125324000 127984000 130336960 130678400 131903510 132720250 133103360 134368000 135905536 135983000 137196800 138845800 139246592 140108800 141422320 144399632 148865600 153337600 155180600 160414720 161387824 161408000 162921200 163348000 166379200 169881920 171474563 171496000 173557250 174058240 175136000 176777900 177722624 180499540 183219200 186082000 191672000 193975750 198631168 200518400 201734780 203651500 204774400 207974000 208539136 209085440 211045616 211072000 212352400 217572800 220972375 222153280 225624425 226275712 229024000 235904000 238184960 248288960 250648000 252168475 255968000 260673920 261356800 263807020 265440500 266206720 268736000 271811072 271966000 274393600 277691600 282844640 288799264 297731200 306675200 310361200 322775648 325842400 326696000 329758775 332758400 339763840 342949126 342992000 347114500 348116480 350272000 353555800 355445248 360999080 372164000 383344000 387951500 397262336 401036800 403469560 407303000 415948000 417078272 422091232 424704800 435145600 441944750 444306560 451248850 452551424 458048000 476369920 496577920 501296000 504336950 511936000 521347840 522713600 527614040 530881000 532413440 537472000 543622144 543932000 548787200 555383200 565689280 577598528 595462400 613350400 620722400 645551296 651684800 653392000 659517550 665516800 679527680 685898252 685984000 694229000 696232960 700544000 707111600 710890496 721998160 744328000 766688000 775903000 794524672 802073600 806939120 814606000 831896000 844182464 849409600 857372815 870291200 883889500 888613120 902497700 905102848 916096000 993155840 1002592000 1008673900 1023872000 1042695680 1045427200 1055228080 1061762000 1087864000 1110766400 1128122125 1131378560 1155197056 1190924800 1241444800 1260842375 1291102592 1303369600 1306784000 1319035100 1331033600 1359055360 1371796504 1371968000 1388458000 1414223200 1443996320 1488656000 1533376000 1551806000 1613878240 1629212000 1648793875 1663792000 1688364928 1698819200 1714745630 1740582400 1767779000 1777226240 1804995400 1810205696 1986311680 2005184000 2017347800 2085391360 2110456160 2123524000 2175728000 2221532800 2256244250 2262757120 2310394112 2381849600 2482889600 2521684750 2582205184 2606739200 2613568000 2638070200 2662067200 2718110720 2743593008 2743936000 2776916000 2828446400 2887992640 2977312000 3066752000 3103612000 3227756480 3258424000 3297587750 3327584000 3376729856 3397638400 3429491260 3481164800 3535558000 3554452480 3609990800 3972623360 4010368000 4034695600 4220912320 4247048000 4286864075 4351456000 4443065600 4512488500 4525514240 4620788224 4965779200 5043369500 5164410368 5213478400 5227136000 5276140400 5487186016 5553832000 5656892800 5775985280 5954624000 6207224000 6455512960 6516848000 6595175500 6655168000 6753459712 6795276800 6858982520 7071116000 7219981600 8069391200 8441824640 8494096000 8573728150 8702912000 8886131200 9024977000 9051028480 9241576448 9931558400 10086739000 10328820736 10426956800 10552280800 10974372032 11107664000 11313785600 11551970560 11909248000 12414448000 12911025920 13033696000 13190351000 13310336000 13506919424 13590553600 13717965040 14142232000 14439963200 16138782400 16883649280 16988192000 17147456300 17405824000 17772262400 18049954000 19863116800 20173478000 21104561600 21434320375 21948744064 22215328000 22627571200 23103941120 24828896000 25822051840 26067392000 26380702000 27435930080 28284464000 28879926400 32277564800 33767298560 33976384000 34294912600 36099908000 40346956000 42209123200 42868640750 43897488128 44430656000 45255142400 46207882240 49657792000 51644103680 52134784000 52761404000 54871860160 56568928000 57759852800 64555129600 67534597120 67952768000 68589825200 72199816000 80693912000 84418246400 85737281500 87794976256 88861312000 99315584000 105522808000 109743720320 113137856000 115519705600 129110259200 137179650400 144399632000 161387824000 168836492800 171474563000 175589952512 211045616000 219487440640 226275712000 231039411200 258220518400 274359300800 288799264000 322775648000 337672985600 342949126000 422091232000 438974881280 548718601600 577598528000 645551296000 685898252000 844182464000 877949762560 1097437203200 1155197056000 1291102592000 1371796504000 1688364928000 2194874406400 2743593008000 4389748812800 5487186016000 10974372032000 21948744064000
• Sum of all divisors σ(n): 66559722727680
• Sum of proper divisors (its aliquot sum) s(n): 44610978663680
• 21948744064000 is an abundant number, because the sum of its proper divisors (44610978663680) is greater than itself. Its abundance is 22662234599680

Bases of 21948744064000

• Binary: 100111111011001010111000101111101110000000000₂
• Hexadecimal: 0x13F65717DC00
• Base-36: 7S343IKN4

Squares and roots of 21948744064000

• 21948744064000 squared (21948744064000²) is 481747365986975236096000000
• 21948744064000 cubed (21948744064000³) is 10573749639554258214577078534144000000000
• The square root of 21948744064000 is 4684948.6725043211
• The cube root of 21948744064000 is 27998.6156050223

Scales and comparisons

• 21,948,744,064,000 seconds is equal to 697,902 years, 8 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 21,948,744,064,000 would take you about one million, seven hundred forty-four thousand, seven hundred fifty-five 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 21948744064000 cubic inches would be around 2333.2 feet tall.

Recreational maths with 21948744064000

• 21948744064000 backwards is 00046044784912
• The number of decimal digits it has is: 14
• The sum of 21948744064000's digits is 49
• More coming soon!