47768812672000

Names of 47768812672000

• Cardinal: 47768812672000 can be written as Forty-seven trillion, seven hundred sixty-eight billion, eight hundred twelve million, six hundred seventy-two thousand.

Scientific notation

• Scientific notation: 4.7768812672 × 10¹³

Factors of 47768812672000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 486

Divisors of 47768812672000

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 350 392 400 410 431 448 490 500 512 560 574 640 656 700 784 800 820 862 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1400 1435 1568 1600 1640 1724 1750 1792 1960 2000 2009 2050 2155 2240 2296 2450 2560 2624 2800 2870 3017 3136 3200 3280 3448 3500 3584 3920 4000 4018 4100 4310 4480 4592 4900 5120 5125 5248 5600 5740 6034 6125 6272 6400 6560 6896 7000 7168 7175 7840 8000 8036 8200 8620 8960 9184 9800 10045 10250 10496 10775 11200 11480 12068 12250 12544 12800 13120 13792 14000 14350 15085 15680 16000 16072 16400 17240 17671 17920 18368 19600 20090 20500 20992 21119 21550 22400 22960 24136 24500 25088 25600 26240 27584 28000 28700 30170 31360 32000 32144 32800 34480 35342 35840 35875 36736 39200 40180 41000 41984 42238 43100 44800 45920 48272 49000 50176 50225 52480 53875 55168 56000 57400 60340 62720 64000 64288 65600 68960 70684 71750 73472 75425 78400 80360 82000 84476 86200 88355 89600 91840 96544 98000 100450 104960 105595 107750 110336 112000 114800 120680 123697 125440 128000 128576 131200 137920 141368 143500 146944 150850 156800 160720 164000 168952 172400 176710 179200 183680 185761 193088 196000 200900 209920 211190 215500 220672 224000 229600 241360 247394 250880 251125 257152 262400 275840 282736 287000 293888 301700 313600 321440 328000 337904 344800 353420 367360 371522 377125 386176 392000 401800 422380 431000 441344 441775 448000 459200 482720 494788 502250 514304 524800 527975 551680 565472 574000 603400 618485 627200 642880 656000 675808 689600 706840 734720 743044 754250 772352 784000 803600 844760 862000 865879 883550 896000 918400 928805 965440 989576 1004500 1028608 1049600 1055950 1103360 1130944 1148000 1206800 1236970 1254400 1285760 1300327 1312000 1351616 1379200 1413680 1469440 1486088 1508500 1544704 1568000 1607200 1689520 1724000 1731758 1767100 1836800 1857610 1930880 1979152 2009000 2057216 2111900 2206720 2208875 2261888 2296000 2413600 2473940 2571520 2600654 2624000 2639875 2703232 2758400 2827360 2972176 3017000 3089408 3092425 3136000 3214400 3379040 3448000 3463516 3534200 3673600 3715220 3861760 3958304 4018000 4223800 4329395 4417750 4523776 4592000 4644025 4827200 4947880 5143040 5201308 5248000 5279750 5406464 5516800 5654720 5944352 6034000 6184850 6272000 6428800 6501635 6758080 6896000 6927032 7068400 7347200 7430440 7616201 7723520 7916608 8036000 8447600 8658790 8835500 9047552 9102289 9184000 9288050 9654400 9895760 10286080 10402616 10559500 10812928 11033600 11309440 11888704 12068000 12369700 12857600 13003270 13516160 13792000 13854064 14136800 14860880 15232402 15447040 15462125 15833216 16072000 16895200 17317580 17671000 18095104 18204578 18368000 18576100 19308800 19791520 20805232 21119000 21625856 21646975 22618880 23220125 23777408 24136000 24739400 25715200 26006540 27032320 27584000 27708128 28273600 29721760 30464804 30924250 31666432 32144000 32508175 33790400 34635160 35342000 36409156 36736000 37152200 38081005 38617600 39583040 41610464 42238000 43293950 45237760 45511445 46440250 47554816 48272000 49478800 51430400 52013080 53313407 54064640 55168000 55416256 56547200 59443520 60929608 61848500 63332864 64288000 65016350 67580800 69270320 70684000 72818312 74304400 76162010 77235200 79166080 83220928 84476000 86587900 90475520 91022890 92880500 95109632 96544000 98957600 104026160 106626814 108129280 108234875 110832512 113094400 118887040 121859216 123697000 126665728 128576000 130032700 135161600 138540640 141368000 145636624 148608800 152324020 158332160 162540875 166441856 168952000 173175800 182045780 185761000 190219264 190405025 193088000 197915200 208052320 213253628 216469750 221665024 226188800 227557225 237774080 243718432 247394000 257152000 260065400 266567035 270323200 277081280 282736000 291273248 297217600 304648040 316664320 325081750 332883712 337904000 346351600 364091560 371522000 373193849 380810050 386176000 395830400 416104640 426507256 432939500 443330048 452377600 455114450 475548160 487436864 494788000 520130800 533134070 540646400 554162560 565472000 582546496 594435200 609296080 633328640 650163500 665767424 675808000 692703200 728183120 743044000 746387698 761620100 791660800 832209280 853014512 865879000 886660096 910228900 951096320 952025125 974873728 989576000 1040261600 1066268140 1108325120 1130944000 1137786125 1165092992 1188870400 1218592160 1300327000 1331534848 1332835175 1351616000 1385406400 1456366240 1486088000 1492775396 1523240200 1583321600 1664418560 1706029024 1731758000 1820457800 1865969245 1904050250 1949747456 1979152000 2080523200 2132536280 2216650240 2261888000 2275572250 2330185984 2377740800 2437184320 2600654000 2665670350 2703232000 2770812800 2912732480 2972176000 2985550792 3046480400 3166643200 3328837120 3412058048 3463516000 3640915600 3731938490 3808100500 3899494912 3958304000 4161046400 4265072560 4433300480 4551144500 4660371968 4755481600 4874368640 5201308000 5331340700 5541625600 5825464960 5944352000 5971101584 6092960800 6657674240 6664175875 6824116096 6927032000 7281831200 7463876980 7616201000 7798989824 7916608000 8322092800 8530145120 9102289000 9320743936 9329846225 9748737280 10402616000 10662681400 11083251200 11650929920 11888704000 11942203168 12185921600 13328351750 13648232192 13854064000 14563662400 14927753960 15232402000 15833216000 16644185600 17060290240 18204578000 18659692450 19497474560 20805232000 21325362800 22166502400 23301859840 23777408000 23884406336 24371843200 26656703500 27296464384 27708128000 29127324800 29855507920 30464804000 33288371200 34120580480 36409156000 37319384900 38994949120 41610464000 42650725600 46603719680 46649231125 47768812672 48743686400 53313407000 54592928768 55416256000 58254649600 59711015840 60929608000 68241160960 72818312000 74638769800 83220928000 85301451200 93298462250 95537625344 97487372800 106626814000 110832512000 116509299200 119422031680 121859216000 136482321920 145636624000 149277539600 166441856000 170602902400 186596924500 191075250688 194974745600 213253628000 233018598400 238844063360 243718432000 272964643840 291273248000 298555079200 341205804800 373193849000 382150501376 426507256000 477688126720 487436864000 582546496000 597110158400 682411609600 746387698000 853014512000 955376253440 974873728000 1165092992000 1194220316800 1364823219200 1492775396000 1706029024000 1910752506880 2388440633600 2985550792000 3412058048000 4776881267200 5971101584000 6824116096000 9553762534400 11942203168000 23884406336000 47768812672000
• Sum of all divisors σ(n): 142340975083944
• Sum of proper divisors (its aliquot sum) s(n): 94572162411944
• 47768812672000 is an abundant number, because the sum of its proper divisors (94572162411944) is greater than itself. Its abundance is 46803349739944

Bases of 47768812672000

• Binary: 1010110111001000001011000111000101010000000000₂
• Hexadecimal: 0x2B720B1C5400
• Base-36: GXKOTPL34

Squares and roots of 47768812672000

• 47768812672000 squared (47768812672000²) is 2281859464092627779584000000
• 47768812672000 cubed (47768812672000³) is 109001717284071046859171402088448000000000
• The square root of 47768812672000 is 6911498.5836647611
• The cube root of 47768812672000 is 36283.9713685449

Scales and comparisons

• 47,768,812,672,000 seconds is equal to 1,518,900 years, 25 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 47,768,812,672,000 would take you about three million, seven hundred ninety-seven thousand, two hundred fifty-one 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 47768812672000 cubic inches would be around 3023.7 feet tall.

Recreational maths with 47768812672000

• 47768812672000 backwards is 00027621886774
• The number of decimal digits it has is: 14
• The sum of 47768812672000's digits is 58
• More coming soon!