4056016224000

Names of 4056016224000

• Cardinal: 4056016224000 can be written as Four trillion, fifty-six billion, sixteen million, two hundred twenty-four thousand.

Scientific notation

• Scientific notation: 4.056016224 × 10¹²

Factors of 4056016224000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 165

Divisors of 4056016224000

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 89 96 100 104 106 120 125 128 130 150 156 159 160 169 178 192 195 200 208 212 240 250 256 260 265 267 300 312 318 320 325 338 356 375 384 390 400 416 424 445 480 500 507 520 530 534 600 624 636 640 650 676 689 712 750 768 780 795 800 832 845 848 890 960 975 1000 1014 1040 1060 1068 1157 1200 1248 1272 1280 1300 1325 1335 1352 1378 1424 1500 1560 1590 1600 1625 1664 1690 1696 1780 1920 1950 2000 2028 2067 2080 2120 2136 2225 2314 2400 2496 2535 2544 2600 2650 2670 2704 2756 2809 2848 3000 3120 3180 3200 3250 3328 3380 3392 3445 3471 3560 3840 3900 3975 4000 4056 4134 4160 4225 4240 4272 4450 4628 4717 4800 4875 4992 5070 5088 5200 5300 5340 5408 5512 5618 5696 5785 6000 6240 6360 6400 6500 6625 6675 6760 6784 6890 6942 7120 7800 7950 8000 8112 8268 8320 8427 8450 8480 8544 8900 8957 9256 9434 9600 9750 9984 10140 10176 10335 10400 10600 10680 10816 11024 11125 11236 11392 11570 12000 12480 12675 12720 13000 13250 13350 13520 13568 13780 13884 14045 14151 14240 15041 15600 15900 16000 16224 16536 16640 16854 16900 16960 17088 17225 17355 17800 17914 18512 18868 19200 19500 19875 20280 20352 20670 20800 21125 21200 21360 21632 22048 22250 22472 22784 23140 23585 24000 24960 25350 25440 26000 26500 26700 26871 27040 27560 27768 28090 28302 28480 28925 30082 31200 31800 32000 32448 33072 33375 33708 33800 33920 34176 34450 34710 35600 35828 36517 37024 37736 39000 39750 40560 40704 41340 41600 42135 42250 42400 42720 43264 44096 44500 44785 44944 45123 46280 47170 48000 49920 50700 50880 51675 52000 53000 53400 53742 54080 55120 55536 56180 56604 56960 57850 60164 61321 62400 63375 63600 64896 66144 66750 67416 67600 67840 68352 68900 69420 70225 70755 71200 71656 73034 74048 75205 75472 78000 79500 81120 82680 83200 84270 84500 84800 85440 86125 86775 88192 89000 89570 89888 90246 92560 94340 96000 101400 101760 103350 104000 106000 106800 107484 108160 109551 110240 111072 112360 113208 113920 115700 117925 120328 122642 124800 126750 127200 129792 132288 133500 134355 134832 135200 137800 138840 140450 141510 142400 143312 144625 146068 148096 150410 150944 156000 159000 162240 165360 168540 169000 169600 170880 172250 173550 176384 178000 179140 179776 180492 182585 183963 185120 188680 202800 203520 206700 208000 210675 212000 213600 214968 216320 219102 220480 222144 223925 224720 225615 226416 231400 235850 240656 245284 249600 250001 253500 254400 258375 264576 267000 268710 269664 270400 275600 277680 280900 283020 284800 286624 289250 292136 296192 300820 301888 306605 312000 318000 324480 330720 337080 338000 339200 341760 344500 347100 351125 353775 356000 358280 359552 360984 365170 367926 370240 376025 377360 405600 413400 416000 421350 424000 427200 429936 433875 438204 440960 444288 447850 449440 451230 452832 462800 471700 474721 481312 490568 500002 507000 508800 516750 529152 534000 537420 539328 540800 547755 551200 555360 561800 566040 569600 573248 578500 584272 589625 601640 603776 613210 624000 636000 648960 661440 671775 674160 676000 689000 694200 702250 707550 712000 716560 719104 721968 730340 735852 740480 750003 752050 754720 797173 811200 826800 842700 848000 854400 859872 867750 876408 881920 888576 895700 898880 902460 905664 912925 919815 925600 943400 949442 962624 981136 1000004 1014000 1017600 1033500 1053375 1068000 1074840 1078656 1081600 1095510 1102400 1110720 1119625 1123600 1128075 1132080 1146496 1157000 1168544 1179250 1203280 1207552 1226420 1248000 1250005 1272000 1322880 1343550 1348320 1352000 1378000 1388400 1404500 1415100 1424000 1424163 1433120 1443936 1460680 1471704 1480960 1500006 1504100 1509440 1533025 1594346 1622400 1653600 1685400 1696000 1708800 1719744 1735500 1752816 1768875 1791400 1797760 1804920 1811328 1825850 1839630 1851200 1880125 1886800 1898884 1925248 1962272 2000008 2028000 2067000 2106750 2136000 2149680 2157312 2191020 2204800 2221440 2239250 2247200 2256150 2264160 2292992 2314000 2337088 2358500 2373605 2391519 2406560 2452840 2500010 2544000 2645760 2687100 2696640 2704000 2738775 2756000 2776800 2809000 2830200 2848000 2848326 2866240 2887872 2921360 2943408 3000012 3008200 3018880 3066050 3188692 3244800 3250013 3307200 3358875 3370800 3439488 3471000 3505632 3537750 3582800 3595520 3609840 3622656 3651700 3679260 3702400 3750015 3760250 3773600 3797768 3850496 3924544 3985865 4000016 4056000 4134000 4213500 4272000 4299360 4382040 4409600 4442880 4478500 4494400 4512300 4528320 4564625 4599075 4628000 4674176 4717000 4747210 4783038 4813120 4905680 5000020 5088000 5374200 5393280 5408000 5477550 5512000 5553600 5618000 5640375 5660400 5696652 5732480 5775744 5842720 5886816 6000024 6016400 6037760 6132100 6250025 6377384 6500026 6614400 6717750 6741600 6878976 6942000 7011264 7075500 7120815 7165600 7219680 7303400 7358520 7404800 7500030 7520500 7547200 7595536 7665125 7849088 7971730 8000032 8112000 8268000 8427000 8544000 8598720 8764080 8957000 8988800 9024600 9056640 9129250 9198150 9256000 9348352 9434000 9494420 9566076 9626240 9750039 9811360 10000040 10748400 10786560 10955100 11024000 11107200 11236000 11280750 11320800 11393304 11464960 11551488 11685440 11773632 11868025 11957595 12000048 12032800 12264200 12500050 12754768 13000052 13228800 13435500 13483200 13693875 13884000 14022528 14151000 14241630 14331200 14439360 14606800 14717040 15000060 15041000 15094400 15191072 15330250 15698176 15943460 16000064 16224000 16250065 16536000 16854000 17197440 17528160 17914000 17977600 18049200 18113280 18258500 18396300 18512000 18750075 18868000 18988840 19132152 19252480 19500078 19622720 19929325 20000080 21496800 21910200 22048000 22214400 22472000 22561500 22641600 22786608 22995375 23370880 23547264 23736050 23915190 24000096 24065600 24528400 25000100 25509536 26000104 26871000 26966400 27387750 27768000 28045056 28302000 28483260 28662400 28878720 29213600 29434080 30000120 30082000 30188800 30382144 30660500 31250125 31886920 32000128 32500130 33072000 33708000 34394880 35056320 35604075 35828000 36098400 36517000 36792600 37024000 37500150 37736000 37977680 38264304 39000156 39245440 39858650 40000160 42250169 42993600 43820400 44944000 45123000 45283200 45573216 45990750 46741760 47094528 47472100 47830380 48000192 48131200 48750195 49056800 50000200 51019072 52000208 53742000 53932800 54775500 55536000 56604000 56966520 57324800 57757440 58427200 58868160 59340125 59787975 60000240 60164000 60764288 61321000 62500250 63773840 64000256 65000260 66144000 67416000 70112640 71208150 71656000 72196800 73034000 73585200 75000300 75472000 75955360 76528608 78000312 78490880 79717300 80000320 81250325 84500338 85987200 87640800 89888000 90246000 90566400 91146432 91981500 93750375 94944200 95660760 96000384 96262400 97500390 98113600 99646625 100000400 102038144 104000416 107484000 109551000 111072000 113208000 113933040 116854400 117736320 118680250 119575950 120000480 120328000 121528576 122642000 125000500 126750507 127547680 130000520 134832000 140225280 142416300 143312000 144393600 146068000 147170400 150000600 150944000 151910720 153057216 156000624 159434600 160000640 162500650 169000676 171974400 175281600 178020375 180492000 182292864 183963000 187500750 189888400 191321520 192000768 195000780 196227200 199293250 200000800 204076288 208000832 211250845 214968000 219102000 226416000 227866080 233708800 235472640 237360500 239151900 240000960 240656000 243750975 245284000 250001000 253501014 255095360 260001040 269664000 284832600 286624000 288787200 292136000 294340800 298939875 300001200 303821440 306114432 312001248 318869200 320001280 325001300 338001352 350563200 356040750 360984000 364585728 367926000 375001500 379776800 382643040 390001560 392454400 398586500 400001600 406251625 416001664 422501690 429936000 438204000 452832000 455732160 474721000 478303800 480001920 481312000 487501950 490568000 500002000 507002028 510190720 520002080 569665200 584272000 588681600 597879750 600002400 607642880 612228864 624002496 633752535 637738400 650002600 676002704 701126400 712081500 721968000 735852000 750003000 759553600 765286080 780003120 797173000 800003200 812503250 832003328 845003380 859872000 876408000 911464320 949442000 956607600 960003840 975003900 981136000 1000004000 1014004056 1020381440 1040004160 1056254225 1139330400 1168544000 1177363200 1195759500 1200004800 1218754875 1248004992 1267505070 1275476800 1300005200 1352005408 1424163000 1443936000 1471704000 1500006000 1519107200 1530572160 1560006240 1594346000 1600006400 1625006500 1690006760 1752816000 1822928640 1898884000 1913215200 1950007800 1962272000 2000008000 2028008112 2080008320 2112508450 2278660800 2391519000 2400009600 2437509750 2496009984 2535010140 2550953600 2600010400 2704010816 2848326000 2943408000 3000012000 3038214400 3061144320 3120012480 3168762675 3188692000 3250013000 3380013520 3505632000 3797768000 3826430400 3900015600 4000016000 4056016224 4160016640 4225016900 4557321600 4783038000 4800019200 4875019500 5070020280 5101907200 5200020800 5281271125 5408021632 5696652000 5886816000 6000024000 6240024960 6337525350 6377384000 6500026000 6760027040 7595536000 7652860800 7800031200 8000032000 8112032448 8450033800 9114643200 9566076000 9750039000 10140040560 10400041600 10562542250 10816043264 11393304000 12000048000 12480049920 12675050700 12754768000 13000052000 13520054080 15191072000 15305721600 15600062400 15843813375 16224064896 16900067600 19132152000 19500078000 20280081120 20800083200 21125084500 22786608000 24000096000 25350101400 25509536000 26000104000 27040108160 31200124800 31687626750 32448129792 33800135200 38264304000 39000156000 40560162240 42250169000 45573216000 50700202800 52000208000 54080216320 62400249600 63375253500 67600270400 76528608000 78000312000 81120324480 84500338000 101400405600 104000416000 126750507000 135200540800 156000624000 162240648960 169000676000 202800811200 253501014000 270401081600 312001248000 338001352000 405601622400 507002028000 676002704000 811203244800 1014004056000 1352005408000 2028008112000 4056016224000
• Sum of all divisors σ(n): 15035588699040
• Sum of proper divisors (its aliquot sum) s(n): 10979572475040
• 4056016224000 is an abundant number, because the sum of its proper divisors (10979572475040) is greater than itself. Its abundance is 6923556251040

Bases of 4056016224000

• Binary: 111011000001011101011001111111111100000000₂
• Hexadecimal: 0x3B05D67FF00
• Base-36: 1FRB3C45C

Squares and roots of 4056016224000

• 4056016224000 squared (4056016224000²) is 16451267609351218176000000
• 4056016224000 cubed (4056016224000³) is 66726608328894235036019687424000000000
• The square root of 4056016224000 is 2013955.3679265089
• The cube root of 4056016224000 is 15947.7674623427

Scales and comparisons

• 4,056,016,224,000 seconds is equal to 128,968 years, 40 weeks, 5 hours, 20 minutes.
• To count from 1 to 4,056,016,224,000 would take you about three hundred twenty-two thousand, four hundred twenty-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 4056016224000 cubic inches would be around 1329 feet tall.

Recreational maths with 4056016224000

• 4056016224000 backwards is 0004226106504
• 4056016224000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4056016224000's digits is 30
• More coming soon!