13978844127333120

Names of 13978844127333120

• Cardinal: 13978844127333120 can be written as Thirteen quadrillion, nine hundred seventy-eight trillion, eight hundred forty-four billion, one hundred twenty-seven million, three hundred thirty-three thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.397884412733312 × 10¹⁶

Factors of 13978844127333120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 12123

Divisors of 13978844127333120

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 384 392 420 448 480 490 557 560 588 640 672 735 768 784 840 896 960 980 1114 1120 1176 1280 1344 1470 1568 1671 1680 1792 1920 1960 2228 2240 2352 2688 2785 2940 3136 3342 3360 3840 3899 3920 4456 4480 4704 5376 5570 5880 6272 6684 6720 7798 7840 8355 8912 8960 9408 11140 11549 11697 11760 12544 13368 13440 15596 15680 16710 17824 18816 19495 22280 23098 23394 23520 26736 26880 27293 31192 31360 33420 34647 35648 37632 38990 44560 46196 46788 47040 53472 54586 57745 58485 62384 62720 66840 69294 71296 77980 80843 81879 89120 92392 93576 94080 106944 109172 115490 116970 124768 133680 136465 138588 142592 155960 161686 163758 173235 178240 184784 187152 188160 213888 218344 230980 233940 242529 249536 267360 272930 277176 311920 323372 327516 346470 356480 369568 374304 404215 409395 427776 436688 461960 467880 485058 499072 534720 545860 554352 565901 623840 646744 655032 692940 712960 739136 748608 808430 818790 873376 923920 935760 970116 998144 1069440 1091720 1108704 1131802 1212645 1247680 1293488 1310064 1385880 1478272 1497216 1616860 1637580 1697703 1746752 1847840 1871520 1940232 2138880 2183440 2217408 2263604 2425290 2495360 2586976 2620128 2771760 2829505 2956544 2994432 3233720 3275160 3395406 3493504 3695680 3743040 3880464 4366880 4434816 4527208 4850580 4990720 5173952 5240256 5543520 5659010 6432793 6467440 6550320 6790812 6987008 7391360 7486080 7760928 8488515 8733760 8869632 9054416 9701160 10347904 10480512 11087040 11318020 12865586 12934880 13100640 13581624 14782720 14972160 15521856 16977030 17467520 18108832 19298379 19402320 20695808 20961024 22174080 22636040 25731172 25869760 26201280 27163248 31043712 32163965 33954060 34935040 36217664 38596758 38804640 44348160 45029551 45272080 51462344 51739520 52402560 54326496 62087424 64327930 67908120 72435328 77193516 77609280 90059102 90544160 96491895 102924688 103479040 104805120 108652992 128655860 133379401 135088653 135816240 144870656 154387032 155218560 180118204 181088320 192983790 205849376 217305984 225147755 257311720 266758802 270177306 271632480 308774064 310437120 315206857 360236408 362176640 385967580 400138203 411698752 434611968 450295510 514623440 533517604 540354612 543264960 617548128 630413714 666897005 675443265 720472816 724353280 771935160 800276406 823397504 900591020 933655807 945620571 1029246880 1067035208 1080709224 1086529920 1235096256 1260827428 1333794010 1350886530 1440945632 1543870320 1576034285 1600552812 1646795008 1801182040 1867311614 1891241142 2000691015 2058493760 2134070416 2161418448 2173059840 2470192512 2521654856 2667588020 2701773060 2800967421 2881891264 3087740640 3152068570 3201105624 3602364080 3734623228 3782482284 4001382030 4116987520 4268140832 4322836896 4668279035 4728102855 4940385024 5043309712 5335176040 5403546120 5601934842 5763782528 6175481280 6304137140 6402211248 6535590649 7204728160 7469246456 7564964568 8002764060 8233975040 8536281664 8645673792 9336558070 9456205710 10086619424 10670352080 10807092240 11203869684 11527565056 12350962560 12608274280 12804422496 13071181298 14004837105 14409456320 14938492912 15129929136 16005528120 17072563328 17291347584 18673116140 18912411420 19606771947 20173238848 21340704160 21614184480 22407739368 24701925120 25216548560 25608844992 26142362596 28009674210 28818912640 29876985824 30259858272 32011056240 32677953245 34145126656 34582695168 37346232280 37824822840 39213543894 40346477696 42681408320 43228368960 44815478736 50433097120 51217689984 52284725192 56019348420 57637825280 59753971648 60519716544 64022112480 65355906490 74292326357 74692464560 75649645680 78427087788 80692955392 85362816640 86456737920 89630957472 98033859735 100866194240 102435379968 104569450384 112038696840 119507943296 121039433088 128044224960 130711812980 148584652714 149384929120 151299291360 156854175576 170725633280 172913475840 179261914944 196067719470 201732388480 209138900768 222876979071 224077393680 239015886592 242078866176 256088449920 261423625960 297169305428 298769858240 302598582720 313708351152 358523829888 371461631785 392135438940 403464776960 418277801536 445753958142 448154787360 512176899840 520046284499 522847251920 594338610856 597539716480 605197165440 627416702304 717047659776 742923263570 784270877880 836555603072 891507916284 896309574720 1040092568998 1045694503840 1114384895355 1188677221712 1195079432960 1210394330880 1254833404608 1485846527140 1560138853497 1568541755760 1673111206144 1783015832568 1792619149440 2080185137996 2091389007680 2228769790710 2377354443424 2509666809216 2600231422495 2971693054280 3120277706994 3137083511520 3566031665136 3585238298880 3640323991493 4160370275992 4182778015360 4457539581420 4754708886848 5019333618432 5200462844990 5943386108560 6240555413988 6274167023040 7132063330272 7280647982986 7800694267485 8320740551984 8365556030720 8915079162840 9509417773696 10400925689980 10920971974479 11886772217120 12481110827976 12548334046080 14264126660544 14561295965972 15601388534970 16641481103968 17830158325680 18201619957465 19018835547392 20801851379960 21841943948958 23773544434240 24962221655952 25096668092160 28528253321088 29122591931944 31202777069940 33282962207936 35660316651360 36403239914930 41603702759920 43683887897916 47547088868480 49924443311904 54604859872395 57056506642176 58245183863888 62405554139880 66565924415872 71320633302720 72806479829860 83207405519840 87367775795832 95094177736960 99848886623808 109209719744790 116490367727776 124811108279760 133131848831744 142641266605440 145612959659720 166414811039680 174735551591664 199697773247616 218419439489580 232980735455552 249622216559520 285282533210880 291225919319440 332829622079360 349471103183328 399395546495232 436838878979160 465961470911104 499244433119040 582451838638880 665659244158720 698942206366656 873677757958320 931922941822208 998488866238080 1164903677277760 1397884412733312 1747355515916640 1996977732476160 2329807354555520 2795768825466624 3494711031833280 4659614709111040 6989422063666560 13978844127333120
• Sum of all divisors σ(n): 52031646053173584
• Sum of proper divisors (its aliquot sum) s(n): 38052801925840464
• 13978844127333120 is an abundant number, because the sum of its proper divisors (38052801925840464) is greater than itself. Its abundance is 24073957798507344

Bases of 13978844127333120

• Binary: 110001101010011010111101000110100101001000101100000000₂
• Hexadecimal: 0x31A9AF46948B00
• Base-36: 3TN34C6CR9C

Squares and roots of 13978844127333120

• 13978844127333120 squared (13978844127333120²) is 195408083136275657240283448934400
• 13978844127333120 cubed (13978844127333120³) is 2731579135382949052520757464891825070777827328000
• The square root of 13978844127333120 is 118232161.9836714311
• The cube root of 13978844127333120 is 240892.7636365781

Scales and comparisons

• 13,978,844,127,333,120 seconds is equal to 444,484,003 years, 43 weeks, 6 days, 16 hours, 32 minutes.
• To count from 1 to 13,978,844,127,333,120 would take you about one billion, three hundred thirty-three million, four hundred fifty-two thousand and eleven 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 13978844127333120 cubic inches would be around 20074.4 feet tall.

Recreational maths with 13978844127333120

• 13978844127333120 backwards is 02133372144887931
• The number of decimal digits it has is: 17
• The sum of 13978844127333120's digits is 66
• More coming soon!