1364968680857600

Names of 1364968680857600

• Cardinal: 1364968680857600 can be written as One quadrillion, three hundred sixty-four trillion, nine hundred sixty-eight billion, six hundred eighty million, eight hundred fifty-seven thousand, six hundred.

Scientific notation

• Scientific notation: 1.3649686808576 × 10¹⁵

Factors of 1364968680857600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3936

Divisors of 1364968680857600

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 70 80 91 100 104 112 124 128 130 140 155 160 175 182 200 208 217 224 248 256 260 280 310 320 325 350 364 400 403 416 434 448 455 496 512 520 560 620 640 650 700 728 757 775 800 806 832 868 896 910 992 1024 1040 1085 1120 1240 1280 1300 1400 1456 1514 1550 1600 1612 1664 1736 1792 1820 1984 2015 2048 2080 2170 2240 2275 2480 2560 2600 2800 2821 2912 3028 3100 3121 3200 3224 3328 3472 3584 3640 3785 3968 4030 4096 4160 4340 4480 4550 4960 5120 5200 5299 5425 5600 5642 5824 6056 6200 6242 6400 6448 6656 6944 7168 7280 7570 7936 8060 8192 8320 8680 8960 9100 9841 9920 10075 10240 10400 10598 10850 11200 11284 11648 12112 12400 12484 12800 12896 13312 13888 14105 14336 14560 15140 15605 15872 16120 16640 17360 17920 18200 18925 19682 19840 20150 20480 20800 21196 21700 21847 22400 22568 23296 23467 24224 24800 24968 25600 25792 26495 26624 27776 28210 28672 29120 30280 31210 31744 32240 33280 34720 35840 36400 37850 39364 39680 40300 40573 40960 41600 42392 43400 43694 44800 45136 46592 46934 48448 49205 49600 49936 51200 51584 52990 53248 55552 56420 57344 58240 60560 62420 63488 64480 66560 68887 69440 70525 71680 72800 75700 78025 78728 79360 80600 81146 83200 84784 86800 87388 89600 90272 93184 93868 96751 96896 98410 99200 99872 102400 103168 105980 106496 109235 111104 112840 116480 117335 121120 124840 126976 128960 132475 133120 137774 138880 141050 143360 145600 151400 156050 157456 158720 161200 162292 164269 166400 169568 173600 174776 179200 180544 186368 187736 193502 193792 196820 198400 199744 202865 204800 206336 211960 218470 222208 225680 232960 234670 242240 246025 249680 253952 257920 264950 266240 275548 277760 282100 284011 286720 291200 302800 305071 312100 314912 317440 322400 324584 328538 332800 339136 344435 347200 349552 358400 361088 372736 375472 387004 387584 393640 396800 399488 405730 412672 423920 436940 444416 451360 465920 469340 483755 484480 492050 499360 515840 529900 532480 546175 551096 555520 564200 568022 582400 586675 605600 610142 624200 629824 634880 644800 649168 657076 665600 677257 678272 688870 694400 699104 716800 722176 745472 750944 774008 775168 787280 793600 798976 811460 821345 825344 847840 873880 888832 902720 931840 938680 967510 968960 984100 998720 1014325 1031680 1059800 1092350 1102192 1111040 1128400 1136044 1164800 1173350 1211200 1220284 1248400 1257763 1259648 1269760 1289600 1298336 1314152 1331200 1354514 1356544 1377740 1388800 1398208 1420055 1433600 1444352 1501888 1525355 1548016 1550336 1574560 1587200 1597952 1622920 1642690 1650688 1695680 1722175 1747760 1777664 1805440 1863680 1877360 1935020 1937920 1968200 1997440 2028650 2063360 2119600 2135497 2184700 2204384 2222080 2256800 2272088 2329600 2346700 2362597 2418775 2422400 2440568 2496800 2515526 2519296 2579200 2596672 2628304 2662400 2709028 2713088 2755480 2777600 2796416 2840110 2888704 3003776 3050710 3096032 3100672 3149120 3174400 3195904 3245840 3285380 3301376 3386285 3391360 3444350 3495520 3610880 3727360 3754720 3870040 3875840 3936400 3994880 4057300 4106725 4126720 4239200 4270994 4369400 4408768 4444160 4513600 4544176 4659200 4693400 4725194 4837550 4844800 4881136 4993600 5031052 5038592 5158400 5193344 5256608 5418056 5426176 5510960 5555200 5592832 5680220 5777408 6007552 6101420 6192064 6201344 6288815 6298240 6348800 6391808 6491680 6570760 6772570 6782720 6888700 6991040 7100275 7221760 7509440 7626775 7740080 7751680 7872800 7989760 8114600 8213450 8253440 8478400 8541988 8738800 8804341 8817536 8888320 9027200 9088352 9318400 9386800 9450388 9675100 9689600 9762272 9987200 10062104 10077184 10316800 10386688 10513216 10677485 10836112 10852352 11021920 11110400 11185664 11360440 11554816 11812985 12015104 12202840 12384128 12577630 12596480 12783616 12983360 13141520 13545140 13565440 13777400 13982080 14200550 14443520 15018880 15253550 15480160 15503360 15745600 15979520 16229200 16426900 16506880 16538179 16931425 16956800 17083976 17477600 17608682 17635072 18054400 18176704 18636800 18773600 18900776 19350200 19379200 19524544 19974400 20124208 20154368 20633600 20773376 21026432 21354970 21672224 21704704 22043840 22220800 22371328 22720880 23109632 23625970 24030208 24405680 24768256 25155260 25192960 25567232 25966720 26283040 27090280 27130880 27554800 27964160 28401100 28887040 30037760 30507100 30713761 30960320 31006720 31444075 31491200 31959040 32458400 32853800 33076358 33862850 33913600 34167952 34955200 35217364 35270144 36108800 36353408 37547200 37801552 38700400 38758400 39049088 39948800 40248416 40308736 41267200 41546752 42052864 42709940 43344448 43409408 44021705 44087680 44441600 44742656 45441760 47251940 48060416 48811360 49536512 50310520 50385920 51933440 52566080 53387425 54180560 54261760 55109600 55928320 56802200 57774080 59064925 60075520 61014200 61427522 61920640 62888150 62982400 63918080 64916800 65707600 66152716 67725700 67827200 68335904 69910400 70434728 70540288 72217600 72706816 73240507 75094400 75603104 77400800 77516800 78098176 79897600 80496832 80617472 82534400 82690895 83093504 84105728 85419880 86688896 88043410 88175360 89485312 90883520 94503880 96120832 97622720 99073024 100621040 100771840 103866880 105132160 106774850 108361120 108523520 110219200 111856640 113604400 115548160 118129850 120151040 122028400 122855044 123841280 125776300 125964800 127836160 129833600 131415200 132305432 135451400 135654400 136671808 139820800 140869456 141080576 144435200 145413632 146481014 150188800 151206208 153568805 154801600 155033600 156196352 159795200 160993664 165381790 166187008 168211456 170839760 173377792 176086820 176350720 178970624 181767040 189007760 192241664 195245440 198146048 201242080 201543680 207733760 210264320 213549700 214996327 216722240 217047040 220108525 220438400 223713280 227208800 236259700 240302080 244056800 245710088 247682560 251552600 251929600 259667200 262830400 264610864 270902800 271308800 273343616 279641600 281738912 282161152 288870400 290827264 292962028 300377600 302412416 307137610 309603200 312392704 319590400 321987328 330763580 332374016 336422912 341679520 346755584 352173640 352701440 363534080 366202535 378015520 390490880 396292096 402484160 403087360 413454475 415467520 420528640 427099400 429992654 433444480 440217050 440876800 447426560 454417600 472519400 480604160 488113600 491420176 495365120 503105200 503859200 512683549 519334400 525660800 529221728 541805600 542617600 546687232 559283200 563477824 564322304 577740800 581654528 585924056 600755200 604824832 614275220 619206400 624785408 639180800 643974656 661527160 672845824 683359040 693511168 704347280 705402880 727068160 732405070 756031040 767844025 780981760 792584192 804968320 826908950 830935040 841057280 854198800 859985308 866888960 880434100 881753600 894853120 908835200 945038800 952126591 961208320 976227200 982840352 990730240 1006210400 1007718400 1025367098 1038668800 1051321600 1058443456 1074981635 1083611200 1085235200 1093374464 1118566400 1126955648 1163309056 1171848112 1201510400 1209649664 1228550440 1238412800 1249570816 1287949312 1323054320 1345691648 1366718080 1387022336 1408694560 1410805760 1454136320 1464810140 1512062080 1535688050 1561963520 1609936640 1653817900 1661870080 1682114560 1708397600 1719970616 1733777920 1760868200 1763507200 1817670400 1831012675 1890077600 1904253182 1952454400 1965680704 1981460480 2012420800 2015436800 2050734196 2077337600 2102643200 2116886912 2149963270 2167222400 2186748928 2237132800 2253911296 2326618112 2343696224 2403020800 2419299328 2457100880 2476825600 2499141632 2563417745 2575898624 2646108640 2733436160 2774044672 2817389120 2821611520 2908272640 2929620280 3024124160 3071376100 3123927040 3219873280 3307635800 3364229120 3416795200 3439941232 3467555840 3521736400 3527014400 3635340800 3662025350 3780155200 3808506364 3904908800 3931361408 3962920960 4024841600 4101468392 4154675200 4205286400 4233773824 4299926540 4334444800 4373497856 4474265600 4507822592 4687392448 4760632955 4806041600 4838598656 4914201760 4953651200 5126835490 5151797248 5292217280 5374908175 5466872320 5548089344 5634778240 5816545280 5859240560 6048248320 6142752200 6247854080 6439746560 6615271600 6664886137 6728458240 6833590400 6879882464 6935111680 7043472800 7054028800 7270681600 7324050700 7560310400 7617012728 7809817600 7862722816 8049683200 8202936784 8309350400 8410572800 8467547648 8599853080 8668889600 8746995712 9015645184 9374784896 9521265910 9677197312 9828403520 9907302400 10253670980 10303594496 10584434560 10749816350 10933744640 11269556480 11633090560 11718481120 12096496640 12285504400 12495708160 12817088725 12879493120 13230543200 13329772274 13667180800 13759764928 13870223360 14086945600 14108057600 14541363200 14648101400 15120620800 15234025456 15619635200 15725445632 16099366400 16405873568 16821145600 16935095296 17199706160 17337779200 17493991424 18031290368 18749569792 19042531820 19354394624 19656807040 19814604800 20507341960 21168869120 21499632700 21867489280 22539112960 23436962240 23803164775 24192993280 24571008800 25634177450 25758986240 26461086400 26659544548 27334361600 27519529856 27740446720 28173891200 29082726400 29296202800 30241241600 30468050912 31239270400 31450891264 32198732800 32811747136 33324430685 33642291200 33870190592 34399412320 34675558400 36062580736 37499139584 38085063640 39313614080 41014683920 42337738240 42999265400 43734978560 45078225920 46873924480 47606329550 48385986560 49142017600 51268354900 51517972480 52922172800 53319089096 54668723200 55039059712 56347782400 58165452800 58592405600 60482483200 60936101824 62478540800 62901782528 64397465600 65623494272 66648861370 67740381184 68798824640 69351116800 72125161472 74998279168 76170127280 78627228160 82029367840 84675476480 85998530800 87469957120 90156451840 93747848960 95212659100 96771973120 98284035200 102536709800 105844345600 106638178192 109337446400 110078119424 112695564800 117184811200 120964966400 121872203648 125803565056 128794931200 131246988544 133297722740 135480762368 137597649280 138702233600 149996558336 152340254560 157254456320 164058735680 166622153425 169350952960 171997061600 180312903680 187495697920 190425318200 196568070400 205073419600 211688691200 213276356384 218674892800 220156238848 225391129600 234369622400 241929932800 243744407296 251607130112 257589862400 262493977088 266595445480 275195298560 299993116672 304680509120 314508912640 328117471360 333244306850 338701905920 343994123200 360625807360 374991395840 380850636400 393136140800 410146839200 423377382400 426552712768 437349785600 440312477696 450782259200 468739244800 483859865600 487488814592 524987954176 533190890960 550390597120 599986233344 609361018240 629017825280 656234942720 666488613700 677403811840 687988246400 749982791680 761701272800 786272281600 820293678400 846754764800 853105425536 880624955392 901564518400 937478489600 974977629184 1049975908352 1066381781920 1100781194240 1218722036480 1258035650560 1312469885440 1332977227400 1375976492800 1499965583360 1523402545600 1572544563200 1640587356800 1693509529600 1706210851072 1761249910784 1803129036800 1874956979200 1949955258368 2099951816704 2132763563840 2201562388480 2437444072960 2624939770880 2665954454800 2751952985600 2999931166720 3046805091200 3145089126400 3281174713600 3387019059200 3412421702144 3749913958400 3899910516736 4199903633408 4265527127680 4403124776960 4874888145920 5249879541760 5331908909600 5503905971200 6093610182400 6290178252800 6562349427200 6824843404288 7499827916800 7799821033472 8531054255360 8806249553920 9749776291840 10499759083520 10663817819200 11007811942400 12187220364800 13124698854400 13649686808576 14999655833600 17062108510720 19499552583680 20999518167040 21327635638400 22015623884800 24374440729600 26249397708800 27299373617152 34124217021440 38999105167360 42655271276800 44031247769600 48748881459200 52498795417600 54598747234304 68248434042880 85310542553600 97497762918400 104997590835200 136496868085760 170621085107200 194995525836800 272993736171520 341242170214400 682484340428800 1364968680857600
• Sum of all divisors σ(n): 4307499447724032
• Sum of proper divisors (its aliquot sum) s(n): 2942530766866432
• 1364968680857600 is an abundant number, because the sum of its proper divisors (2942530766866432) is greater than itself. Its abundance is 1577562086008832

Bases of 1364968680857600

• Binary: 100110110010110111010001001010110100010000000000000₂
• Hexadecimal: 0x4D96E895A2000
• Base-36: DFU9YE4VSW

Squares and roots of 1364968680857600

• 1364968680857600 squared (1364968680857600²) is 1863139499722136680671477760000
• 1364968680857600 cubed (1364968680857600³) is 2543127065189413706757432929060416126976000000
• The square root of 1364968680857600 is 36945482.5500709897
• The cube root of 1364968680857600 is 110927.9266141601

Scales and comparisons

• 1,364,968,680,857,600 seconds is equal to 43,401,781 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 1,364,968,680,857,600 would take you about one hundred thirty million, two hundred five thousand, three hundred forty-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 1364968680857600 cubic inches would be around 9244 feet tall.

Recreational maths with 1364968680857600

• 1364968680857600 backwards is 0067580868694631
• The number of decimal digits it has is: 16
• The sum of 1364968680857600's digits is 77
• More coming soon!