40468380174048

Names of 40468380174048

• Cardinal: 40468380174048 can be written as Forty trillion, four hundred sixty-eight billion, three hundred eighty million, one hundred seventy-four thousand and forty-eight.

Scientific notation

• Scientific notation: 4.0468380174048 × 10¹³

Factors of 40468380174048

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1147

Divisors of 40468380174048

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 29 32 37 46 48 58 69 74 87 89 92 96 111 116 138 148 174 178 184 222 232 267 276 281 296 348 356 368 444 464 534 552 562 592 667 683 696 712 736 843 851 888 928 1068 1073 1104 1124 1184 1334 1366 1392 1424 1686 1702 1776 2001 2047 2049 2136 2146 2208 2248 2553 2581 2668 2732 2784 2848 3219 3293 3372 3404 3552 4002 4094 4098 4272 4292 4496 5106 5162 5336 5464 6141 6438 6463 6586 6744 6808 7743 8004 8149 8188 8196 8544 8584 8992 9879 10212 10324 10397 10672 10928 12282 12876 12926 13172 13488 13616 15486 15709 16008 16298 16376 16392 17168 19389 19758 19807 20424 20648 20794 21344 21856 24447 24564 24679 25009 25271 25752 25852 26344 26976 27232 30972 31191 31418 32016 32596 32752 32784 34336 38778 39516 39614 40848 41296 41588 47127 48894 49128 49358 50018 50542 51504 51704 52688 59363 59421 60787 61944 62382 62836 64032 65192 65504 65568 74037 75027 75739 75813 77556 79032 79228 81696 82592 83176 94254 95497 97788 98256 98716 100036 101084 103008 103408 105376 118726 118842 121574 123888 124764 125672 130384 148074 150054 151478 151626 155112 158064 158456 166352 178089 182361 187427 188508 190994 191923 195576 196512 197432 200072 202168 206816 227217 237452 237684 239131 243148 247776 249528 251344 260768 286491 296148 300108 301513 302956 303252 310224 316128 316912 332704 356178 364722 374854 377016 381988 383846 391152 394864 400144 404336 454434 455561 474904 475368 478262 486296 499056 502688 562281 572982 575207 575769 581233 592296 600216 603026 605912 606504 620448 633824 712356 717393 725261 729444 732859 749708 754032 763976 767692 782304 789728 800288 808672 904539 908868 911122 925333 949808 950736 956524 972592 998112 1124562 1145964 1150414 1151538 1162466 1184592 1200432 1206052 1211824 1213008 1366683 1398101 1424712 1434786 1450522 1458888 1465718 1499416 1508064 1527952 1535384 1725621 1743699 1762823 1809078 1817736 1822244 1850666 1899616 1901472 1913048 1945184 2175783 2196431 2198577 2249119 2249124 2291928 2300828 2303076 2324932 2369184 2400864 2412104 2423648 2426016 2733366 2775999 2796202 2849424 2869572 2901044 2917776 2931436 2998832 3055904 3070768 3451242 3487398 3525646 3618156 3635472 3644488 3701332 3826096 4194303 4351566 4392862 4397154 4414229 4498238 4498248 4583856 4601656 4606152 4649864 4824208 5288469 5466732 5551998 5565767 5592404 5698848 5739144 5802088 5835552 5862872 5997664 6141536 6589293 6747357 6902484 6934799 6974796 7051292 7101151 7236312 7270944 7288976 7402664 7652192 8388606 8703132 8785724 8794308 8828458 8996476 8996496 9167712 9203312 9212304 9299728 9648416 10576938 10933464 11103996 11131534 11184808 11478288 11604176 11725744 13178586 13242687 13494714 13804968 13869598 13949592 14102584 14202302 14472624 14577952 14805328 16681003 16697301 16777212 16855757 17081147 17406264 17571448 17588616 17656916 17992952 17992992 18406624 18424608 18599456 20804397 21153876 21282659 21303453 21866928 22207992 22263068 22369616 22956576 23208352 23451488 26357172 26485374 26834657 26989428 27609936 27739196 27899184 28205168 28404604 28945248 29610656 33362006 33394602 33554424 33711514 34162294 34812528 35142896 35177232 35313832 35985904 40544929 41608794 42307752 42565318 42606906 43733856 44415984 44526136 44739232 50043009 50567271 51243441 51729737 52714344 52970748 53669314 53978856 55219872 55478392 55798368 56410336 56809208 63847977 65224451 66724012 66789204 67108848 67423028 68324588 69625056 70285792 70354464 70627664 71971808 80503971 81089858 83217588 84615504 85130636 85213812 88831968 89052272 100086018 101134542 102486882 103459474 105428688 105941496 107338628 107957712 110956784 113618416 121634787 127695954 128012641 130448902 133448024 133578408 134217696 134846056 136649176 141255328 155189211 161007942 162179716 163326473 166435176 169231008 170261272 170427624 178104544 195673353 200172036 202269084 204973764 205933379 206918948 210857376 211882992 214677256 215915424 221913568 227236832 243269574 255391908 256025282 260897804 266896048 267156816 269692112 273298352 310378422 322015884 324359432 326652946 332870352 340522544 340855248 384037923 391346706 392866381 400344072 404538168 409947528 411866758 413837896 423765984 429354512 486539148 489979419 495353263 510783816 512050564 521795608 533792096 534313632 539384224 546596704 617197111 617800137 620756844 632002439 644031768 648718864 653305892 665740704 681045088 681710496 768075846 782693412 785732762 800688144 809076336 819895056 823733516 827675792 858709024 973078296 979958838 990706526 1021567632 1024101128 1043591216 1178599143 1234394222 1235600274 1241513688 1264004878 1288063536 1297437728 1306611784 1486059789 1500162373 1536151692 1565386824 1571465524 1601376288 1618152672 1639790112 1647467032 1655351584 1851591333 1896007317 1946156592 1959917676 1981413052 2043135264 2048202256 2087182432 2357198286 2468788444 2471200548 2483027376 2528009756 2576127072 2613223568 2972119578 3000324746 3072303384 3130773648 3142931048 3294934064 3703182666 3792014634 3892313184 3919835352 3962826104 4096404512 4500487119 4714396572 4736467717 4937576888 4942401096 4966054752 5056019512 5226447136 5944239156 6000649492 6144606768 6261547296 6285862096 6589868128 7406365332 7584029268 7839670704 7925652208 9000974238 9428793144 9472935434 9875153776 9884802192 10112039024 11393125049 11888478312 12001298984 12289213536 12571724192 14209403151 14536056097 14812730664 15168058536 15679341408 15851304416 18001948476 18328070731 18857586288 18945870868 19750307552 19769604384 20224078048 22786250098 23776956624 24002597968 28418806302 29072112194 29625461328 30336117072 34179375147 36003896952 36656141462 37715172576 37891741736 43608168291 45572500196 47553913248 48005195936 54984212193 56837612604 58144224388 59250922656 60672234144 68358750294 72007793904 73312282924 75783483472 87216336582 91145000392 109968424386 113675225208 116288448776 136717500588 144015587808 146624565848 151566966944 174432673164 182290000784 219936848772 227350450416 232576897552 273435001176 293249131696 348865346328 364580001568 421545626813 439873697544 454700900832 465153795104 546870002352 586498263392 697730692656 843091253626 879747395088 1093740004704 1264636880439 1395461385312 1686182507252 1759494790176 2529273760878 3372365014504 5058547521756 6744730029008 10117095043512 13489460058016 20234190087024 40468380174048
• Sum of all divisors σ(n): 119691787622400
• Sum of proper divisors (its aliquot sum) s(n): 79223407448352
• 40468380174048 is an abundant number, because the sum of its proper divisors (79223407448352) is greater than itself. Its abundance is 38755027274304

Bases of 40468380174048

• Binary: 1001001100111001000111011011001100011011100000₂
• Hexadecimal: 0x24CE476CC6E0
• Base-36: ECEX0OY5C

Squares and roots of 40468380174048

• 40468380174048 squared (40468380174048²) is 1637689793911281234772706304
• 40468380174048 cubed (40468380174048³) is 66274653187160048546321768688387506798592
• The square root of 40468380174048 is 6361476.2574459083
• The cube root of 40468380174048 is 34332.4877484615

Scales and comparisons

• 40,468,380,174,048 seconds is equal to 1,286,769 years, 16 weeks, 1 day, 19 hours, 48 seconds.
• To count from 1 to 40,468,380,174,048 would take you about three million, two hundred sixteen thousand, nine hundred twenty-three 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 40468380174048 cubic inches would be around 2861 feet tall.

Recreational maths with 40468380174048

• 40468380174048 backwards is 84047108386404
• The number of decimal digits it has is: 14
• The sum of 40468380174048's digits is 57
• More coming soon!