48901461581414400

Names of 48901461581414400

• Cardinal: 48901461581414400 can be written as Forty-eight quadrillion, nine hundred one trillion, four hundred sixty-one billion, five hundred eighty-one million, four hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.89014615814144 × 10¹⁶

Factors of 48901461581414400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2117

Divisors of 48901461581414400

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 233 240 245 256 280 294 300 320 336 350 384 392 400 420 448 466 480 490 512 525 560 588 600 640 672 699 700 735 768 784 800 840 896 932 960 980 1024 1050 1120 1165 1176 1200 1225 1280 1344 1398 1400 1470 1536 1568 1600 1631 1680 1792 1864 1867 1920 1960 2048 2100 2240 2330 2352 2400 2450 2560 2688 2796 2800 2940 3072 3136 3200 3262 3360 3495 3584 3675 3728 3734 3840 3920 4096 4200 4480 4660 4704 4800 4893 4900 5120 5376 5592 5600 5601 5825 5880 6144 6272 6400 6524 6720 6990 7168 7350 7456 7468 7680 7840 8155 8192 8400 8960 9320 9335 9408 9600 9786 9800 10240 10752 11184 11200 11202 11417 11650 11760 12288 12544 12800 13048 13069 13440 13980 14336 14700 14912 14936 15360 15680 16310 16384 16800 17475 17920 18640 18670 18816 19200 19572 19600 20480 21504 22368 22400 22404 22834 23300 23520 24465 24576 25088 25600 26096 26138 26880 27960 28005 28672 29400 29824 29872 30720 31360 32620 33600 34251 34950 35840 37280 37340 37632 38400 39144 39200 39207 40775 40960 43008 44736 44800 44808 45668 46600 46675 47040 48930 49152 50176 51200 52192 52276 53760 55920 56010 57085 57344 58800 59648 59744 61440 62720 65240 65345 67200 68502 69900 71680 74560 74680 75264 76800 78288 78400 78414 81550 81920 86016 89472 89600 89616 91336 91483 93200 93350 94080 97860 100352 102400 104384 104552 107520 111840 112020 114170 114688 117600 119296 119488 122325 122880 125440 130480 130690 134400 137004 139800 140025 143360 149120 149360 150528 153600 156576 156800 156828 163100 171255 172032 178944 179200 179232 182672 182966 186400 186700 188160 195720 196035 200704 204800 208768 209104 215040 223680 224040 228340 235200 238592 238976 244650 245760 250880 260960 261380 268800 274008 274449 279600 280050 285425 286720 298240 298720 301056 307200 313152 313600 313656 326200 326725 342510 344064 357888 358400 358464 365344 365932 372800 373400 376320 391440 392070 401408 409600 417536 418208 430080 435011 447360 448080 456680 457415 470400 477184 477952 489300 501760 521920 522760 537600 548016 548898 559200 560100 570850 573440 596480 597440 602112 614400 626304 627200 627312 652400 653450 685020 715776 716800 716928 730688 731864 745600 746800 752640 782880 784140 802816 835072 836416 856275 860160 870022 894720 896160 913360 914830 940800 954368 955904 978600 980175 1003520 1043840 1045520 1075200 1096032 1097796 1118400 1120200 1141700 1192960 1194880 1204224 1228800 1252608 1254400 1254624 1304800 1305033 1306900 1370040 1372245 1431552 1433600 1433856 1461376 1463728 1491200 1493600 1505280 1565760 1568280 1670144 1672832 1712550 1720320 1740044 1789440 1792320 1826720 1829660 1881600 1908736 1911808 1957200 1960350 2007040 2087680 2091040 2150400 2175055 2192064 2195592 2236800 2240400 2283400 2287075 2385920 2389760 2408448 2505216 2508800 2509248 2609600 2610066 2613800 2740080 2744490 2863104 2867200 2867712 2922752 2927456 2982400 2987200 3010560 3045077 3131520 3136560 3340288 3345664 3425100 3480088 3485689 3578880 3584640 3653440 3659320 3763200 3817472 3823616 3914400 3920700 4014080 4175360 4182080 4300800 4350110 4384128 4391184 4473600 4480800 4566800 4574150 4771840 4779520 5010432 5017600 5018496 5219200 5220132 5227600 5480160 5488980 5726208 5735424 5845504 5854912 5964800 5974400 6021120 6090154 6263040 6273120 6525165 6680576 6691328 6850200 6861225 6960176 6971378 7157760 7169280 7306880 7318640 7526400 7647232 7828800 7841400 8350720 8364160 8601600 8700220 8768256 8782368 8947200 8961600 9133600 9135231 9148300 9543680 9559040 10020864 10035200 10036992 10438400 10440264 10455200 10457067 10875275 10960320 10977960 11452416 11470848 11691008 11709824 11929600 11948800 12042240 12180308 12526080 12546240 13050330 13361152 13382656 13700400 13722450 13920352 13942756 14315520 14338560 14613760 14637280 15052800 15225385 15294464 15657600 15682800 16701440 16728320 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54655603520 56207155200 56851587590 57109528576 58465478400 58559575200 60912415275 62363176960 62463546880 64973242960 65481335808 65586724224 66817689600 66925228800 68209724800 68221905108 68319504400 71386910720 74835812352 74956256256 77953971200 77967891552 78079433600 79592222626 81216553700 81851669760 81983405280 85277381385 85664292864 87308447744 87448965632 89090252800 89233638400 90962540144 93544765440 93695320320 97459864440 99941675008 102314587200 102479256600 103957188736 106908303360 107080366080 109135559680 109311207040 112414310400 113703175180 116930956800 117119150400 119388333939 121824830550 124726353920 124927093760 129946485920 130962671616 131173448448 133635379200 133850457600 136419449600 136443810216 136639008800 142128968975 142773821440 149671624704 149912512512 155907942400 155935783104 156158867200 159184445252 162433107400 163703339520 163966810560 170554762770 171328585728 174616895488 174897931264 178180505600 178467276800 181925080288 187089530880 187390640640 194919728880 198980556565 199883350016 204629174400 204958513200 207914377472 214160732160 218271119360 218622414080 227406350360 233861913600 234238300800 238776667878 243649661100 249452707840 249854187520 259892971840 261925343232 262346896896 267270758400 267700915200 272838899200 272887620432 273278017600 284257937950 285547642880 299825025024 311815884800 311871566208 312317734400 318368890504 324866214800 327406679040 327933621120 341109525540 349233790976 349795862528 356934553600 363850160576 374179061760 374781281280 389839457760 397961113130 399766700032 409258348800 409917026400 415828754944 426386906925 428321464320 436542238720 437244828160 454812700720 467723827200 468476601600 477553335756 487299322200 499708375040 519785943680 523850686464 524693793792 534541516800 535401830400 545677798400 545775240864 546556035200 568515875900 596941669695 599650050048 623631769600 623743132416 624635468800 636737781008 649732429600 654813358080 655867242240 682219051080 699591725056 713869107200 727700321152 748358123520 749562562560 779678915520 795922226260 818516697600 819834052800 831657509888 852773813850 856642928640 873084477440 874489656320 909625401440 935447654400 936953203200 955106671512 974598644400 994902782825 999416750080 1039571887360 1047701372928 1049387587584 1070803660800 1091355596800 1091550481728 1093112070400 1137031751800 1193883339390 1199300100096 1247263539200 1247486264832 1249270937600 1273475562016 1299464859200 1309626716160 1311734484480 1364438102160 1399183450112 1427738214400 1455400642304 1499125125120 1559357831040 1591844452520 1637033395200 1639668105600 1663315019776 1705547627700 1746168954880 1748979312640 1819250802880 1870895308800 1873906406400 1910213343024 1949197288800 1989805565650 1998833500160 2079143774720 2098775175168 2141607321600 2182711193600 2183100963456 2186224140800 2274063503600 2387766678780 2494972529664 2498541875200 2546951124032 2598929718400 2619253432320 2623468968960 2728876204320 2798366900224 2910801284608 2984708348475 2998250250240 3118715662080 3183688905040 3274066790400 3279336211200 3326630039552 3411095255400 3497958625280 3638501605760 3741790617600 3747812812800 3820426686048 3898394577600 3979611131300 4158287549440 4197550350336 4283214643200 4365422387200 4366201926912 4372448281600 4548127007200 4775533357560 4989945059328 4997083750400 5093902248064 5197859436800 5238506864640 5246937937920 5457752408640 5821602569216 5969416696950 5996500500480 6237431324160 6367377810080 6548133580800 6558672422400 6653260079104 6822190510800 6995917250560 7277003211520 7495625625600 7640853372096 7796789155200 7959222262600 8316575098880 8395100700672 8730844774400 8732403853824 8744896563200 9096254014400 9551066715120 9979890118656 9994167500800 10187804496128 10395718873600 10493875875840 10915504817280 11643205138432 11938833393900 12474862648320 12734755620160 13096267161600 13117344844800 13306520158208 13644381021600 13991834501120 14554006423040 14991251251200 15281706744192 15593578310400 15918444525200 16633150197760 17464807707648 17489793126400 18192508028800 19102133430240 19959780237312 20375608992256 20791437747200 20987751751680 21831009634560 23286410276864 23877666787800 24949725296640 25469511240320 26192534323200 26234689689600 27288762043200 29108012846080 29982502502400 30563413488384 31187156620800 31836889050400 33266300395520 34929615415296 34979586252800 36385016057600 38204266860480 39919560474624 40751217984512 41582875494400 41975503503360 43662019269120 46572820553728 47755333575600 49899450593280 50939022480640 52469379379200 54577524086400 58216025692160 61126826976768 62374313241600 63673778100800 66532600791040 69859230830592 69959172505600 72770032115200 76408533720960 81502435969024 83165750988800 87324038538240 93145641107456 95510667151200 99798901186560 101878044961280 104938758758400 109155048172800 116432051384320 122253653953536 124748626483200 127347556201600 139718461661184 145540064230400 152817067441920 163004871938048 166331501977600 174648077076480 191021334302400 199597802373120 203756089922560 209877517516800 218310096345600 232864102768640 244507307907072 249497252966400 254695112403200 279436923322368 291080128460800 305634134883840 326009743876096 332663003955200 349296154152960 382042668604800 407512179845120 436620192691200 465728205537280 489014615814144 498994505932800 509390224806400 582160256921600 611268269767680 652019487752192 698592308305920 764085337209600 815024359690240 873240385382400 978029231628288 997989011865600 1018780449612800 1164320513843200 1222536539535360 1397184616611840 1528170674419200 1630048719380480 1746480770764800 1956058463256576 2037560899225600 2328641027686400 2445073079070720 3056341348838400 3260097438760960 3492961541529600 4075121798451200 4890146158141440 6112682697676800 6985923083059200 8150243596902400 9780292316282880 12225365395353600 16300487193804800 24450730790707200 48901461581414400
• Sum of all divisors σ(n): 189003738125566728
• Sum of proper divisors (its aliquot sum) s(n): 140102276544152328
• 48901461581414400 is an abundant number, because the sum of its proper divisors (140102276544152328) is greater than itself. Its abundance is 91200814962737928

Bases of 48901461581414400

• Binary: 10101101101110111001111011000110100011101100000000000000₂
• Hexadecimal: 0xADBB9EC68EC000
• Base-36: DDI4DBF92IO

Squares and roots of 48901461581414400

• 48901461581414400 squared (48901461581414400²) is 2391352944798548550919504527360000
• 48901461581414400 cubed (48901461581414400³) is 116940654157668412407677891387751646032297984000000
• The square root of 48901461581414400 is 221136748.6000786799
• The cube root of 48901461581414400 is 365685.1123784667

Scales and comparisons

• 48,901,461,581,414,400 seconds is equal to 1,554,915,216 years, 7 weeks, 18 hours, 40 minutes.
• To count from 1 to 48,901,461,581,414,400 would take you about four billion, six hundred sixty-four million, seven hundred forty-five thousand, six hundred forty-eight 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 48901461581414400 cubic inches would be around 30473.8 feet tall.

Recreational maths with 48901461581414400

• 48901461581414400 backwards is 00441418516410984
• 48901461581414400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48901461581414400's digits is 60
• More coming soon!