45346193740800

Names of 45346193740800

• Cardinal: 45346193740800 can be written as Forty-five trillion, three hundred forty-six billion, one hundred ninety-three million, seven hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.53461937408 × 10¹³

Factors of 45346193740800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2080

Divisors of 45346193740800

• Number of divisors d(n): 594
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 337 360 384 400 450 480 512 576 600 640 674 720 768 800 900 960 1011 1024 1152 1200 1280 1348 1440 1536 1600 1685 1733 1800 1920 2022 2304 2400 2560 2696 2880 3033 3072 3200 3370 3466 3600 3840 4044 4608 4800 5055 5120 5199 5392 5760 6066 6400 6740 6932 7200 7680 8088 8425 8665 9216 9600 10110 10398 10784 11520 12132 12800 13480 13864 14400 15165 15360 15597 16176 16850 17330 19200 20220 20796 21568 23040 24264 25275 25600 25995 26960 27728 28800 30330 31194 32352 33700 34660 38400 40440 41592 43136 43325 46080 48528 50550 51990 53920 55456 57600 60660 62388 64704 67400 69320 75825 76800 77985 80880 83184 86272 86650 97056 101100 103980 107840 110912 113569 115200 121320 124776 129408 129975 134800 138640 151650 155970 161760 166368 172544 173300 194112 202200 207960 215680 221824 227138 230400 242640 249552 258816 259950 269600 277280 303300 311940 323520 332736 340707 345088 346600 388224 389925 404400 415920 431360 443648 454276 485280 499104 517632 519900 539200 554560 567845 584021 606600 623880 647040 665472 681414 693200 776448 779850 808800 831840 862720 887296 908552 970560 998208 1022121 1035264 1039800 1078400 1109120 1135690 1168042 1213200 1247760 1294080 1330944 1362828 1386400 1552896 1559700 1617600 1663680 1703535 1725440 1752063 1774592 1817104 1941120 1996416 2044242 2079600 2156800 2218240 2271380 2336084 2426400 2495520 2588160 2661888 2725656 2772800 2839225 2920105 3105792 3119400 3235200 3327360 3407070 3504126 3634208 3882240 3992832 4088484 4159200 4313600 4436480 4542760 4672168 4852800 4991040 5110605 5176320 5256189 5323776 5451312 5545600 5678450 5840210 6238800 6470400 6654720 6814140 7008252 7268416 7764480 7985664 8176968 8318400 8517675 8627200 8760315 8872960 9085520 9344336 9705600 9982080 10221210 10512378 10902624 11091200 11356900 11680420 12477600 12940800 13309440 13628280 14016504 14536832 14600525 15528960 15971328 16353936 16636800 17035350 17520630 18171040 18688672 19411200 19964160 20442420 21024756 21805248 22182400 22713800 23360840 24955200 25553025 25881600 26280945 26618880 27256560 28033008 29073664 29201050 32707872 33273600 34070700 35041260 36342080 37377344 38822400 39928320 40884840 42049512 43610496 43801575 44364800 45427600 46721680 49910400 51106050 52561890 54513120 56066016 58147328 58402100 65415744 66547200 68141400 70082520 72684160 74754688 77644800 79856640 81769680 84099024 87220992 87603150 90855200 93443360 99820800 102212100 105123780 109026240 112132032 116294656 116804200 130831488 131404725 133094400 136282800 140165040 145368320 149509376 163539360 168198048 174441984 175206300 181710400 186886720 196815077 199641600 204424200 210247560 218052480 224264064 233608400 261662976 262809450 272565600 280330080 290736640 299018752 327078720 336396096 348883968 350412600 363420800 373773440 393630154 399283200 408848400 420495120 436104960 448528128 467216800 523325952 525618900 545131200 560660160 581473280 590445231 598037504 654157440 672792192 700825200 726841600 747546880 787260308 817696800 840990240 872209920 897056256 934433600 984075385 1046651904 1051237800 1090262400 1121320320 1180890462 1308314880 1345584384 1401650400 1453683200 1495093760 1574520616 1635393600 1681980480 1744419840 1771335693 1794112512 1868867200 1968150770 2102475600 2180524800 2242640640 2361780924 2616629760 2691168768 2803300800 2907366400 2952226155 2990187520 3149041232 3270787200 3363960960 3542671386 3737734400 3936301540 4204951200 4361049600 4485281280 4723561848 4920376925 5233259520 5382337536 5606601600 5904452310 6298082464 6541574400 6727921920 7085342772 7475468800 7872603080 8409902400 8722099200 8856678465 8970562560 9447123696 9840753850 11213203200 11808904620 12596164928 13083148800 13455843840 14170685544 14761130775 14950937600 15745206160 16819804800 17713356930 18894247392 19681507700 22426406400 23617809240 25192329856 26166297600 26911687680 28341371088 29522261550 31490412320 33639609600 35426713860 37788494784 39363015400 44283392325 44852812800 47235618480 50384659712 56682742176 59044523100 62980824640 67279219200 70853427720 75576989568 78726030800 88566784650 94471236960 100769319424 113365484352 118089046200 125961649280 134558438400 141706855440 151153979136 157452061600 177133569300 188942473920 201538638848 226730968704 236178092400 251923298560 283413710880 302307958272 314904123200 354267138600 377884947840 453461937408 472356184800 503846597120 566827421760 604615916544 629808246400 708534277200 755769895680 906923874816 944712369600 1007693194240 1133654843520 1259616492800 1417068554400 1511539791360 1813847749632 1889424739200 2267309687040 2519232985600 2834137108800 3023079582720 3778849478400 4534619374080 5038465971200 5668274217600 7557698956800 9069238748160 11336548435200 15115397913600 22673096870400 45346193740800
• Sum of all divisors σ(n): 162938005480458
• Sum of proper divisors (its aliquot sum) s(n): 117591811739658
• 45346193740800 is an abundant number, because the sum of its proper divisors (117591811739658) is greater than itself. Its abundance is 72245617998858

Bases of 45346193740800

• Binary: 1010010011110111111011110001010001010000000000₂
• Hexadecimal: 0x293DFBC51400
• Base-36: G2NR4Y680

Squares and roots of 45346193740800

• 45346193740800 squared (45346193740800²) is 2056277286778169097584640000
• 45346193740800 cubed (45346193740800³) is 93244348231049418130976586766221312000000
• The square root of 45346193740800 is 6733958.2520832427
• The cube root of 45346193740800 is 35659.9130369293

Scales and comparisons

• 45,346,193,740,800 seconds is equal to 1,441,868 years, 36 weeks, 1 day, 8 hours.
• To count from 1 to 45,346,193,740,800 would take you about three million, six hundred four thousand, six hundred seventy-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 45346193740800 cubic inches would be around 2971.7 feet tall.

Recreational maths with 45346193740800

• 45346193740800 backwards is 00804739164354
• The number of decimal digits it has is: 14
• The sum of 45346193740800's digits is 54
• More coming soon!