12946296448000

Names of 12946296448000

• Cardinal: 12946296448000 can be written as Twelve trillion, nine hundred forty-six billion, two hundred ninety-six million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.2946296448 × 10¹³

Factors of 12946296448000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1239

Divisors of 12946296448000

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 41 50 61 64 74 80 82 100 122 125 128 148 160 164 185 200 205 244 250 256 296 305 320 328 370 400 410 488 500 512 592 610 640 656 740 800 820 925 976 1000 1024 1025 1093 1184 1220 1280 1312 1480 1517 1525 1600 1640 1850 1952 2000 2050 2186 2257 2368 2440 2501 2560 2624 2960 3034 3050 3200 3280 3700 3904 4000 4100 4372 4514 4625 4736 4880 5002 5120 5125 5248 5465 5920 6068 6100 6400 6560 7400 7585 7625 7808 8000 8200 8744 9028 9250 9472 9760 10004 10250 10496 10930 11285 11840 12136 12200 12505 12800 13120 14800 15170 15250 15616 16000 16400 17488 18056 18500 18944 19520 20008 20500 20992 21860 22570 23680 24272 24400 25010 25600 26240 27325 29600 30340 30500 31232 32000 32800 34976 36112 37000 37888 37925 39040 40016 40441 41000 41984 43720 44813 45140 47360 48544 48800 50020 52480 54650 56425 59200 60680 61000 62464 62525 64000 65600 66673 69952 72224 74000 75850 78080 80032 80882 82000 87440 89626 90280 92537 94720 97088 97600 100040 104960 109300 112850 118400 121360 122000 125050 128000 131200 133346 136625 139904 144448 148000 151700 156160 160064 161764 164000 174880 179252 180560 185074 189440 189625 194176 195200 200080 202205 209920 218600 224065 225700 236800 242720 244000 250100 262400 266692 273250 279808 282125 288896 296000 303400 312320 312625 320128 323528 328000 333365 349760 358504 361120 370148 379250 388352 390400 400160 404410 437200 448130 451400 462685 473600 485440 488000 500200 524800 533384 546500 559616 564250 577792 592000 606800 625250 640256 647056 656000 666730 699520 717008 722240 740296 758500 776704 780800 800320 808820 874400 896260 902800 925370 947200 970880 976000 1000400 1011025 1049600 1066768 1093000 1119232 1120325 1128500 1155584 1184000 1213600 1250500 1280512 1294112 1312000 1333460 1399040 1434016 1444480 1480592 1517000 1553408 1561600 1600640 1617640 1658081 1666825 1748800 1792520 1805600 1850740 1941760 1952000 2000800 2022050 2133536 2186000 2240650 2257000 2311168 2313425 2368000 2427200 2466901 2501000 2561024 2588224 2624000 2666920 2733593 2798080 2868032 2888960 2961184 3034000 3201280 3235280 3316162 3333650 3497600 3585040 3611200 3701480 3883520 3904000 4001600 4044100 4267072 4372000 4481300 4514000 4626850 4736000 4854400 4933802 5002000 5055125 5176448 5248000 5333840 5467186 5596160 5601625 5736064 5777920 5922368 6068000 6402560 6470560 6632324 6667300 6995200 7170080 7222400 7402960 7767040 7808000 8003200 8088200 8290405 8334125 8534144 8744000 8962600 9028000 9253700 9708800 9867604 10004000 10110250 10352896 10667680 10934372 11203250 11472128 11555840 11567125 11844736 12136000 12334505 12805120 12941120 13264648 13334600 13667965 13990400 14340160 14444800 14805920 16006400 16176400 16580810 16668250 17068288 17488000 17925200 18056000 18507400 19417600 19735208 20008000 20220500 20705792 21335360 21868744 22406500 22944256 23134250 23689472 24272000 24669010 25882240 26529296 26669200 27335930 27980800 28680320 28889600 29611840 32012800 32352800 33161620 33336500 34136576 34976000 35850400 36112000 37014800 38835200 39470416 40016000 40441000 41411584 41452025 42670720 43737488 44813000 45888512 46268500 47378944 48544000 49338020 51764480 53058592 53338400 54671860 57360640 57779200 59223680 61672525 64025600 64705600 66323240 66673000 68273152 68339825 69952000 71700800 72224000 74029600 78940832 80032000 80882000 82904050 85341440 87474976 89626000 92537000 94757888 97088000 98676040 101142941 103528960 106117184 106676800 109343720 114721280 118447360 123345050 129411200 132646480 133346000 136679650 139904000 143401600 144448000 148059200 157881664 160064000 161764000 165808100 170682880 174949952 179252000 185074000 194176000 197352080 202285882 207057920 207260125 212234368 213353600 218687440 229442560 236894720 246690100 258822400 265292960 266692000 273359300 286803200 288896000 296118400 308362625 315763328 320128000 323528000 331616200 341365760 341699125 349899904 358504000 370148000 394704160 404571764 414520250 424468736 426707200 437374880 473789440 493380200 505714705 517644800 530585920 533384000 546718600 573606400 592236800 616725250 631526656 647056000 663232400 683398250 699799808 717008000 740296000 789408320 809143528 829040500 848937472 853414400 874749760 986760400 1011429410 1035289600 1061171840 1066768000 1093437200 1147212800 1184473600 1233450500 1263053312 1294112000 1326464800 1366796500 1399599616 1434016000 1480592000 1578816640 1618287056 1658081000 1697874944 1706828800 1749499520 1973520800 2022858820 2122343680 2133536000 2186874400 2368947200 2466901000 2526106624 2528573525 2588224000 2652929600 2733593000 2799199232 2868032000 2961184000 3157633280 3236574112 3316162000 3498999040 3947041600 4045717640 4244687360 4267072000 4373748800 4933802000 5057147050 5176448000 5305859200 5467186000 5736064000 5922368000 6315266560 6473148224 6632324000 6997998080 7894083200 8091435280 8489374720 8534144000 8747497600 9867604000 10114294100 10611718400 10934372000 11844736000 12630533120 12642867625 12946296448 13264648000 13995996160 15788166400 16182870560 17494995200 19735208000 20228588200 21223436800 21868744000 25285735250 25892592896 26529296000 31576332800 32365741120 34989990400 39470416000 40457176400 42446873600 43737488000 50571470500 51785185792 53058592000 63152665600 64731482240 69979980800 78940832000 80914352800 87474976000 101142941000 103570371584 106117184000 129462964480 157881664000 161828705600 174949952000 202285882000 212234368000 258925928960 315763328000 323657411200 349899904000 404571764000 517851857920 647314822400 809143528000 1294629644800 1618287056000 2589259289600 3236574112000 6473148224000 12946296448000
• Sum of all divisors σ(n): 34568802830016
• Sum of proper divisors (its aliquot sum) s(n): 21622506382016
• 12946296448000 is an abundant number, because the sum of its proper divisors (21622506382016) is greater than itself. Its abundance is 8676209934016

Bases of 12946296448000

• Binary: 10111100011001001011011001101010010000000000₂
• Hexadecimal: 0xBC64B66A400
• Base-36: 4L7G2N3LS

Squares and roots of 12946296448000

• 12946296448000 squared (12946296448000²) is 167606591719497416704000000
• 12946296448000 cubed (12946296448000³) is 2169884623039515618220171067392000000000
• The square root of 12946296448000 is 3598096.2255059271
• The cube root of 12946296448000 is 23480.9239778909

Scales and comparisons

• 12,946,296,448,000 seconds is equal to 411,652 years, 9 weeks, 3 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 12,946,296,448,000 would take you about one million, twenty-nine thousand, one hundred thirty 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 12946296448000 cubic inches would be around 1956.7 feet tall.

Recreational maths with 12946296448000

• 12946296448000 backwards is 00084469264921
• The number of decimal digits it has is: 14
• The sum of 12946296448000's digits is 55
• More coming soon!