13921338763264000

Names of 13921338763264000

• Cardinal: 13921338763264000 can be written as Thirteen quadrillion, nine hundred twenty-one trillion, three hundred thirty-eight billion, seven hundred sixty-three million, two hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.3921338763264 × 10¹⁶

Factors of 13921338763264000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 914

Divisors of 13921338763264000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 79 80 85 100 125 128 136 158 160 170 200 250 256 272 316 320 340 395 400 425 500 512 544 632 640 680 790 800 811 850 1000 1024 1088 1264 1280 1343 1360 1580 1600 1622 1700 1975 2000 2048 2125 2176 2528 2560 2686 2720 3160 3200 3244 3400 3950 4000 4055 4096 4250 4352 5056 5120 5372 5440 6241 6320 6400 6488 6715 6800 7900 8000 8110 8192 8500 8704 9875 10112 10240 10744 10880 12482 12640 12800 12976 13430 13600 13787 15800 16000 16220 16384 17000 17408 19750 20224 20275 20480 21488 21760 24964 25280 25600 25952 26860 27200 27574 31205 31600 32000 32440 33575 34000 34816 39500 40448 40550 40960 42976 43520 49928 50560 51200 51904 53720 54400 55148 62410 63200 64000 64069 64880 67150 68000 68935 69632 79000 80896 81100 81920 85952 87040 99856 101120 101375 102400 103808 106097 107440 108800 110296 124820 126400 128000 128138 129760 134300 136000 137870 139264 156025 158000 161792 162200 167875 171904 174080 199712 202240 202750 204800 207616 212194 214880 217600 220592 249640 252800 256000 256276 259520 268600 272000 275740 278528 312050 316000 320345 323584 324400 335750 343808 344675 348160 399424 404480 405500 409600 415232 424388 429760 435200 441184 493039 499280 505600 512000 512552 519040 530485 537200 544000 551480 624100 632000 640690 647168 648800 671500 687616 689350 696320 780125 798848 808960 811000 830464 848776 859520 870400 882368 986078 998560 1011200 1024000 1025104 1038080 1060970 1074400 1088000 1089173 1102960 1248200 1264000 1281380 1294336 1297600 1343000 1375232 1378700 1392640 1560250 1597696 1601725 1617920 1622000 1660928 1697552 1719040 1723375 1740800 1764736 1972156 1997120 2022400 2048000 2050208 2076160 2121940 2148800 2176000 2178346 2205920 2465195 2496400 2528000 2562760 2595200 2652425 2686000 2750464 2757400 3120500 3195392 3203450 3235840 3244000 3321856 3395104 3438080 3446750 3481600 3529472 3944312 3994240 4044800 4100416 4152320 4243880 4297600 4352000 4356692 4411840 4930390 4992800 5056000 5061451 5125520 5190400 5304850 5372000 5445865 5500928 5514800 6241000 6390784 6406900 6471680 6488000 6643712 6790208 6876160 6893500 6963200 7058944 7888624 7988480 8008625 8089600 8200832 8304640 8381663 8487760 8595200 8704000 8713384 8823680 9860780 9985600 10112000 10122902 10251040 10380800 10609700 10744000 10891730 11001856 11029600 12325975 12482000 12781568 12813800 12976000 13262125 13287424 13580416 13752320 13787000 14117888 15777248 15976960 16017250 16179200 16401664 16609280 16763326 16975520 17190400 17408000 17426768 17647360 19721560 19971200 20224000 20245804 20502080 20761600 21219400 21488000 21783460 22003712 22059200 24651950 24964000 25307255 25563136 25627600 25952000 26524250 27160832 27229325 27504640 27574000 28235776 31554496 31953920 32034500 32358400 32803328 33218560 33526652 33951040 34380800 34816000 34853536 35294720 39443120 39942400 40448000 40491608 41004160 41523200 41908315 42438800 42976000 43566920 44118400 49303900 49928000 50614510 51126272 51255200 51904000 53048500 54321664 54458650 55009280 55148000 56471552 61629875 63108992 63907840 64069000 65606656 66437120 67053304 67902080 68761600 69707072 70589440 78886240 79884800 80896000 80983216 82008320 83046400 83816630 84877600 85952000 86044667 87133840 88236800 98607800 99856000 101229020 102252544 102510400 103808000 106097000 108643328 108917300 110018560 110296000 112943104 123259750 126217984 126536275 127815680 128138000 131213312 134106608 135804160 136146625 137523200 139414144 141178880 157772480 159769600 161792000 161966432 164016640 166092800 167633260 169755200 171904000 172089334 174267680 176473600 197215600 199712000 202458040 205020800 207616000 209541575 212194000 217286656 217834600 220592000 225886208 246519500 252435968 253072550 255631360 256276000 262426624 268213216 271608320 272293250 275046400 278828288 282357760 315544960 319539200 323932864 328033280 332185600 335266520 339510400 343808000 344178668 348535360 352947200 394431200 399424000 399854629 404916080 410041600 415232000 419083150 424388000 430223335 434573312 435669200 441184000 493039000 504871936 506145100 511262720 512552000 524853248 536426432 543216640 544586500 550092800 557656576 564715520 631089920 632681375 639078400 647865728 656066560 670533040 679020800 687616000 688357336 697070720 705894400 788862400 798848000 799709258 809832160 820083200 830464000 838166300 848776000 860446670 869146624 871338400 882368000 986078000 1009743872 1012290200 1025104000 1047707875 1049706496 1072852864 1086433280 1089173000 1115313152 1129431040 1262179840 1265362750 1278156800 1295731456 1312133120 1341066080 1358041600 1375232000 1376714672 1394141440 1411788800 1577724800 1597696000 1599418516 1619664320 1640166400 1660928000 1676332600 1697552000 1720893340 1738293248 1742676800 1764736000 1972156000 1999273145 2019487744 2024580400 2050208000 2095415750 2145705728 2151116675 2172866560 2178346000 2230626304 2524359680 2530725500 2556313600 2591462912 2624266240 2682132160 2716083200 2750464000 2753429344 2788282880 2823577600 3155449600 3195392000 3198837032 3239328640 3280332800 3352665200 3395104000 3441786680 3485353600 3529472000 3944312000 3998546290 4038975488 4049160800 4100416000 4190831500 4291411456 4302233350 4345733120 4356692000 4461252608 5048719360 5061451000 5182925824 5248532480 5364264320 5432166400 5506858688 5576565760 5647155200 6310899200 6390784000 6397674064 6478657280 6560665600 6705330400 6790208000 6797528693 6883573360 6970707200 7058944000 7888624000 7997092580 8077950976 8098321600 8200832000 8381663000 8582822912 8604466700 8691466240 8713384000 8922505216 9996365725 10097438720 10122902000 10365851648 10728528640 10755583375 10864332800 11013717376 11153131520 12621798400 12781568000 12795348128 12957314560 13121331200 13410660800 13580416000 13595057386 13767146720 13941414400 14117888000 15777248000 15994185160 16196643200 16401664000 16763326000 17165645824 17208933400 17426768000 17845010432 19992731450 20194877440 20245804000 20731703296 21457057280 21511166750 21728665600 22027434752 22306263040 25243596800 25590696256 25914629120 26242662400 26821321600 27160832000 27190114772 27534293440 27882828800 28235776000 31554496000 31988370320 32393286400 32803328000 33526652000 33987643465 34331291648 34417866800 34853536000 39985462900 40389754880 40491608000 41463406592 42914114560 43022333500 43457331200 44054869504 44612526080 49981828625 50487193600 51181392512 51829258240 53642643200 54321664000 54380229544 55068586880 55765657600 63108992000 63976740640 64786572800 65606656000 67053304000 67975286930 68662583296 68835733600 69707072000 79970925800 80983216000 82926813184 85828229120 86044667000 88109739008 89225052160 99963657250 100974387200 102362785024 103658516480 107285286400 108643328000 108760459088 110137173760 111531315200 126217984000 127953481280 129573145600 131213312000 134106608000 135950573860 137325166592 137671467200 139414144000 159941851600 161966432000 169938217325 171656458240 172089334000 176219478016 199927314500 201948774400 204725570048 207317032960 214570572800 217286656000 217520918176 220274347520 223062630400 252435968000 255906962560 259146291200 268213216000 271901147720 275342934400 278828288000 319883703200 323932864000 339876434650 343312916480 344178668000 352438956032 399854629000 409451140096 414634065920 429141145600 435041836352 440548695040 446125260800 504871936000 511813925120 518292582400 536426432000 543802295440 550685868800 557656576000 639767406400 647865728000 679752869300 686625832960 688357336000 704877912064 799709258000 818902280192 849691086625 858282291200 870083672704 881097390080 1009743872000 1023627850240 1036585164800 1072852864000 1087604590880 1101371737600 1115313152000 1279534812800 1295731456000 1359505738600 1376714672000 1409755824128 1599418516000 1637804560384 1699382173250 1716564582400 1740167345408 1762194780160 2047255700480 2073170329600 2145705728000 2175209181760 2202743475200 2230626304000 2559069625600 2591462912000 2719011477200 2753429344000 3198837032000 3275609120768 3398764346500 3433129164800 3480334690816 3524389560320 4094511400960 4291411456000 4350418363520 4405486950400 5118139251200 5182925824000 5438022954400 5506858688000 6397674064000 6551218241536 6797528693000 6960669381632 7048779120640 8189022801920 8582822912000 8700836727040 8810973900800 10236278502400 10365851648000 10876045908800 11013717376000 12795348128000 13595057386000 13921338763264 16378045603840 17165645824000 17401673454080 17621947801600 20472557004800 21752091817600 22027434752000 25590696256000 27190114772000 27842677526528 32756091207680 34803346908160 35243895603200 40945114009600 43504183635200 44054869504000 51181392512000 54380229544000 55685355053056 69606693816320 81890228019200 87008367270400 88109739008000 102362785024000 108760459088000 111370710106112 139213387632640 163780456038400 174016734540800 176219478016000 204725570048000 217520918176000 278426775265280 348033469081600 409451140096000 435041836352000 556853550530560 696066938163200 818902280192000 870083672704000 1392133876326400 1740167345408000 2784267752652800 3480334690816000 6960669381632000 13921338763264000
• Sum of all divisors σ(n): 37308137196395520
• Sum of proper divisors (its aliquot sum) s(n): 23386798433131520
• 13921338763264000 is an abundant number, because the sum of its proper divisors (23386798433131520) is greater than itself. Its abundance is 9465459669867520

Bases of 13921338763264000

• Binary: 110001011101010110001001000011110010000100000000000000₂
• Hexadecimal: 0x31756243C84000
• Base-36: 3T2PAQLBYF4

Squares and roots of 13921338763264000

• 13921338763264000 squared (13921338763264000²) is 193803672961556837035933696000000
• 13921338763264000 cubed (13921338763264000³) is 2698006584862660373917868791000144543744000000000
• The square root of 13921338763264000 is 117988723.0342967989
• The cube root of 13921338763264000 is 240561.9860496671

Scales and comparisons

• 13,921,338,763,264,000 seconds is equal to 442,655,511 years, 7 weeks, 3 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 13,921,338,763,264,000 would take you about one billion, three hundred twenty-seven million, nine hundred sixty-six thousand, five hundred thirty-three 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 13921338763264000 cubic inches would be around 20046.8 feet tall.

Recreational maths with 13921338763264000

• 13921338763264000 backwards is 00046236783312931
• The number of decimal digits it has is: 17
• The sum of 13921338763264000's digits is 58
• More coming soon!