448142929920

Names of 448142929920

• Cardinal: 448142929920 can be written as Four hundred forty-eight billion, one hundred forty-two million, nine hundred twenty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.4814292992 × 10¹¹

Factors of 448142929920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 105

Divisors of 448142929920

• Number of divisors d(n): 1404
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 29 30 32 35 36 40 42 45 48 49 56 58 59 60 63 64 70 72 80 84 87 90 96 98 105 112 116 118 120 126 128 140 144 145 147 160 168 174 177 180 192 196 203 210 224 232 236 240 245 252 256 261 280 288 290 294 295 315 320 336 348 354 360 384 392 406 413 420 435 441 448 464 472 480 490 504 512 522 531 560 576 580 588 590 609 630 640 672 696 708 720 735 768 784 812 826 840 841 870 882 885 896 928 944 960 980 1008 1015 1024 1044 1062 1120 1152 1160 1176 1180 1218 1239 1260 1280 1305 1344 1392 1416 1421 1440 1470 1536 1568 1624 1652 1680 1682 1711 1740 1764 1770 1792 1827 1856 1888 1920 1960 2016 2030 2048 2065 2088 2124 2205 2240 2304 2320 2352 2360 2436 2478 2520 2523 2560 2610 2655 2688 2784 2832 2842 2880 2891 2940 3045 3072 3136 3248 3304 3360 3364 3422 3480 3528 3540 3584 3654 3712 3717 3776 3840 3920 4032 4060 4096 4130 4176 4205 4248 4263 4410 4480 4608 4640 4704 4720 4872 4956 5040 5046 5120 5133 5220 5310 5376 5568 5664 5684 5760 5782 5880 5887 6090 6144 6195 6272 6496 6608 6720 6728 6844 6960 7056 7080 7105 7168 7308 7424 7434 7552 7569 7680 7840 8064 8120 8260 8352 8410 8496 8526 8555 8673 8820 8960 9135 9216 9280 9408 9440 9744 9912 10080 10092 10240 10266 10440 10620 10752 11136 11328 11368 11520 11564 11760 11774 11977 12180 12288 12390 12544 12615 12789 12992 13216 13440 13456 13688 13920 14112 14160 14210 14336 14455 14616 14848 14868 15104 15138 15360 15399 15680 16128 16240 16520 16704 16820 16992 17052 17110 17346 17640 17661 17920 18270 18432 18560 18585 18816 18880 19488 19824 20160 20184 20480 20532 20880 21240 21315 21504 22272 22656 22736 23040 23128 23520 23548 23954 24360 24780 25088 25230 25578 25665 25984 26019 26432 26880 26912 27376 27840 28224 28320 28420 28672 28910 29232 29435 29696 29736 30208 30276 30720 30798 31360 32256 32480 33040 33408 33640 33984 34104 34220 34692 35280 35322 35840 35931 36540 36864 37120 37170 37632 37760 37845 38976 39648 40320 40368 41064 41209 41760 42480 42630 43008 43365 44544 45312 45472 46080 46256 47040 47096 47908 48720 49560 49619 50176 50460 51156 51330 51968 52038 52864 52983 53760 53824 54752 55680 56448 56640 56840 57820 58464 58870 59392 59472 59885 60416 60552 61440 61596 62720 63945 64512 64960 66080 66816 67280 67968 68208 68440 69384 70560 70644 71680 71862 73080 74240 74340 75264 75520 75690 76995 77952 79296 80640 80736 82128 82418 83520 83839 84960 85260 86016 86730 88305 89088 90624 90944 92160 92512 94080 94192 95816 97440 99120 99238 100352 100920 102312 102660 103936 104076 105728 105966 107520 107648 107793 109504 111360 112896 113280 113680 115640 116928 117740 118784 118944 119770 120832 121104 123192 123627 125440 127890 129024 129920 130095 132160 133632 134560 135936 136416 136880 138768 141120 141288 143360 143724 146160 148480 148680 148857 150528 151040 151380 153990 155904 158592 161280 161472 164256 164836 167040 167678 169920 170520 173460 176610 178176 179655 181248 181888 184320 185024 188160 188384 191632 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24313310 24528896 25007976 25374720 25404928 25835520 26191872 26280960 26373760 26643456 26828480 27127296 27595008 27786640 28580544 29102080 29175972 29603840 29670480 30141440 30182040 30661120 31002624 31259970 31537152 31648512 31756160 32194176 32739840 33304320 33343968 33909120 34493760 35041280 35524608 35725680 36169728 36469965 36793344 37416960 38062080 38107392 38753280 38901296 39421440 39560640 40242720 41679960 42198016 42925568 43653120 43763958 44405760 44458624 45212160 45991680 47472768 47634240 48291264 48626620 49057792 50015952 50809856 51671040 52383744 52561920 52747520 53286912 53656960 54254592 55190016 55573280 57161088 58351944 59207680 59340960 60282880 60364080 61322240 62519940 63074304 63297024 63512320 64388352 65479680 66608640 66687936 67818240 68987520 71451360 72339456 72939930 73586688 76124160 76214784 77506560 77802592 78842880 79121280 80485440 83359920 84396032 85851136 87306240 87527916 88811520 88917248 90424320 91983360 94945536 95268480 96582528 97253240 100031904 101619712 105123840 105495040 106573824 107313920 108509184 109409895 110380032 111146560 114322176 116703888 118681920 120565760 120728160 122644480 125039880 126594048 127024640 128776704 130959360 133217280 133375872 135636480 137975040 142902720 145879860 147173376 152429568 155013120 155605184 157685760 158242560 160970880 166719840 168792064 171702272 175055832 177623040 177834496 180848640 183966720 189891072 190536960 193165056 194506480 200063808 203239424 210990080 214627840 217018368 218819790 220760064 222293120 228644352 233407776 237363840 241456320 245288960 250079760 253188096 254049280 257553408 261918720 266434560 266751744 271272960 275950080 285805440 291759720 304859136 311210368 315371520 316485120 321941760 333439680 343404544 350111664 355668992 361697280 367933440 379782144 381073920 386330112 389012960 400127616 421980160 429255680 437639580 441520128 444586240 457288704 466815552 474727680 482912640 500159520 506376192 508098560 515106816 532869120 533503488 542545920 551900160 571610880 583519440 609718272 622420736 632970240 643883520 666879360 700223328 711337984 735866880 759564288 762147840 772660224 778025920 800255232 843960320 858511360 875279160 889172480 914577408 933631104 949455360 965825280 1000319040 1016197120 1030213632 1067006976 1085091840 1103800320 1143221760 1167038880 1244841472 1265940480 1287767040 1333758720 1400446656 1422675968 1519128576 1524295680 1545320448 1556051840 1600510464 1717022720 1750558320 1778344960 1829154816 1867262208 1898910720 1931650560 2000638080 2134013952 2207600640 2286443520 2334077760 2489682944 2531880960 2575534080 2667517440 2800893312 3048591360 3090640896 3112103680 3201020928 3501116640 3556689920 3734524416 3797821440 3863301120 4001276160 4268027904 4572887040 4668155520 4979365888 5151068160 5335034880 5601786624 6224207360 6402041856 7002233280 7113379840 7469048832 7595642880 7726602240 8002552320 9145774080 9336311040 9958731776 10670069760 11203573248 12448414720 12804083712 14004466560 14938097664 15453204480 16005104640 18672622080 21340139520 22407146496 24896829440 28008933120 29876195328 32010209280 37345244160 44814292992 49793658880 56017866240 64020418560 74690488320 89628585984 112035732480 149380976640 224071464960 448142929920
• Sum of all divisors σ(n): 1903162140360
• Sum of proper divisors (its aliquot sum) s(n): 1455019210440
• 448142929920 is an abundant number, because the sum of its proper divisors (1455019210440) is greater than itself. Its abundance is 1006876280520

Bases of 448142929920

• Binary: 110100001010111011001100111000000000000₂
• Hexadecimal: 0x6857667000
• Base-36: 5PVGQ9S0

Squares and roots of 448142929920

• 448142929920 squared (448142929920²) is 200832085637282031206400
• 448142929920 cubed (448142929920³) is 90001479279435919850204968255488000
• The square root of 448142929920 is 669434.7839184935
• The cube root of 448142929920 is 7652.5383799863

Scales and comparisons

• 448,142,929,920 seconds is equal to 14,249 years, 29 weeks, 11 hours, 12 minutes.
• To count from 1 to 448,142,929,920 would take you about twenty-eight thousand, four hundred ninety-nine 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 448142929920 cubic inches would be around 637.7 feet tall.

Recreational maths with 448142929920

• 448142929920 backwards is 029929241844
• The number of decimal digits it has is: 12
• The sum of 448142929920's digits is 54
• More coming soon!