40768992048096

Names of 40768992048096

• Cardinal: 40768992048096 can be written as Forty trillion, seven hundred sixty-eight billion, nine hundred ninety-two million, forty-eight thousand and ninety-six.

Scientific notation

• Scientific notation: 4.0768992048096 × 10¹³

Factors of 40768992048096

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4546

Divisors of 40768992048096

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 61 72 76 78 96 104 108 114 117 122 144 152 156 171 183 208 216 228 234 244 247 288 304 312 342 351 366 416 432 456 468 488 494 513 549 608 624 684 702 732 741 793 864 877 912 936 976 988 1026 1098 1159 1248 1368 1404 1464 1482 1586 1647 1754 1824 1872 1952 1976 2052 2196 2223 2318 2379 2631 2736 2808 2928 2964 3172 3294 3477 3508 3571 3744 3952 4104 4392 4446 4636 4758 5262 5472 5616 5856 5928 6344 6588 6669 6954 7016 7137 7142 7893 7904 8208 8784 8892 9272 9516 10431 10524 10713 11232 11401 11856 12688 13176 13338 13908 14032 14274 14284 15067 15786 16416 16663 17568 17784 18544 19032 20862 21048 21411 21426 22802 23679 23712 25376 26352 26676 27816 28064 28548 28568 30134 31293 31572 32139 33326 34203 35568 37088 38064 41724 42096 42822 42852 45201 45604 46423 47358 49989 52704 53352 53497 55632 57096 57136 60268 62586 63144 64278 66652 67849 68406 71136 76128 83448 84192 85644 85704 90402 91208 92846 94716 96417 99978 102609 106704 106994 111264 114192 114272 120536 125172 126288 128556 133304 135603 135698 136812 139269 149967 160491 166896 171288 171408 180804 182416 185692 189432 192834 199956 203547 205218 213408 213988 216619 217831 228384 241072 250344 252576 257112 266608 271206 271396 273624 278538 299934 307827 320982 333792 342576 342816 361608 364832 371384 378864 385668 399912 406809 407094 410436 417807 427976 433238 435662 449901 481473 482144 500688 514224 533216 542412 542792 547248 557076 599868 610641 615654 641964 649857 653493 685152 695461 723216 742768 757728 771336 799824 813618 814188 820872 835614 855952 866476 871324 882037 899802 962946 1001376 1016443 1028448 1084824 1085584 1094496 1114152 1199736 1221282 1231308 1253421 1283928 1299714 1306986 1390922 1444419 1446432 1485536 1542672 1599648 1627236 1628376 1641744 1671228 1711904 1732952 1742648 1764074 1799604 1831923 1925892 1949571 1960479 2032886 2086383 2169648 2171168 2228304 2399472 2442564 2462616 2506842 2567856 2599428 2613972 2646111 2781844 2831803 2888838 3049329 3085344 3131767 3254472 3256752 3283488 3342456 3465904 3485296 3528148 3599208 3663846 3851784 3899142 3920958 4065772 4138789 4172766 4339296 4456608 4798944 4885128 4925232 5013684 5135712 5198856 5227944 5292222 5563688 5663606 5777676 5848713 5881437 6098658 6259149 6263534 6508944 6513504 6684912 6931808 6970592 7056296 7198416 7327692 7703568 7798284 7841916 7938333 8131544 8277578 8345532 8495409 9147987 9395301 9770256 9850464 10027368 10397712 10455888 10584444 11127376 11327212 11555352 11697426 11762874 12197316 12416367 12518298 12527068 13017888 13213759 13369824 14112592 14396832 14655384 15407136 15596568 15683832 15876666 16263088 16555156 16691064 16990818 18295974 18777447 18790602 19540512 20054736 20795424 20911776 21168888 22254752 22654424 23110704 23394852 23525748 23814999 24394632 24832734 25036596 25054136 25486227 26427518 27443961 28185903 28225184 29310768 31193136 31367664 31753332 32526176 33110312 33382128 33981636 36591948 37249101 37554894 37581204 39641277 40109472 40712971 42337776 45308848 46221408 46789704 47051496 47629998 48789264 49665468 50073192 50108272 50972454 52855036 53804257 54887922 56371806 58621536 59503573 62386272 62735328 63506664 66220624 66764256 67963272 73183896 74498202 75109788 75162408 76458681 79282554 81425942 84557709 84675552 90617696 93579408 94102992 95259996 97578528 99330936 100146384 100216544 101944908 105710072 107608514 109775844 111747303 112743612 118923831 119007146 122138913 127013328 132441248 135926544 146367792 148996404 150219576 150324816 152917362 158565108 161412771 162851884 169115418 178510719 187158816 188205984 190519992 191037787 198661872 200292768 203889816 211420144 215217028 219551688 223494606 225487224 237847662 238014292 244277826 254026656 271853088 292735584 297992808 300439152 300649632 305834724 317130216 322825542 325703768 338230836 356771493 357021438 366416739 381039984 382075574 397323744 407779632 422840288 430434056 439103376 446989212 450974448 475695324 476028584 484238313 488555652 535532157 573113361 595985616 600878304 611669448 634260432 645651084 651407536 676461672 713542986 714042876 732833478 762079968 764151148 773546449 815559264 860868112 878206752 893978424 901948896 951390648 952057168 968476626 977111304 1071064314 1099250217 1146226722 1191971232 1223338896 1268520864 1291302168 1302815072 1352923344 1427085972 1428085752 1452714939 1465666956 1528302296 1547092898 1606596471 1719340083 1721736224 1787956848 1902781296 1904114336 1936953252 1954222608 2142128628 2198500434 2292453444 2320639347 2446677792 2483491231 2582604336 2705846688 2854171944 2856171504 2905429878 2931333912 3056604592 3094185796 3213192942 3438680166 3575913696 3629717953 3805562592 3873906504 3908445216 4284257256 4397000868 4584906888 4641278694 4966982462 5158020249 5165208672 5708343888 5712343008 5810859756 5862667824 6113209184 6188371592 6426385884 6877360332 6961918041 7259435906 7450473693 7747813008 8568514512 8794001736 9169813776 9282557388 9933964924 10316040498 10889153859 11416687776 11621719512 11725335648 12376743184 12852771768 13754720664 13923836082 14518871812 14900947386 15495626016 17137029024 17588003472 18339627552 18565114776 19867929848 20632080996 20885754123 21778307718 22351421079 23243439024 24753486368 25705543536 27509441328 27847672164 29037743624 29801894772 32667461577 35176006944 37130229552 39735859696 41264161992 41771508246 43556615436 44702842158 46486878048 47186333389 51411087072 55018882656 55695344328 58075487248 59603789544 65334923154 67054263237 74260459104 79471719392 82528323984 83543016492 87113230872 89405684316 94372666778 98002384731 111390688656 116150974496 119207579088 130669846308 134108526474 141559000167 165056647968 167086032984 174226461744 178811368632 188745333556 196004769462 222781377312 238415158176 261339692616 268217052948 283118000334 334172065968 348452923488 357622737264 377490667112 392009538924 424677000501 522679385232 536434105896 566236000668 668344131936 715245474528 754981334224 784019077848 849354001002 1045358770464 1072868211792 1132472001336 1274031001503 1509962668448 1568038155696 1698708002004 2145736423584 2264944002672 2548062003006 3136076311392 3397416004008 4529888005344 5096124006012 6794832008016 10192248012024 13589664016032 20384496024048 40768992048096
• Sum of all divisors σ(n): 137200668595200
• Sum of proper divisors (its aliquot sum) s(n): 96431676547104
• 40768992048096 is an abundant number, because the sum of its proper divisors (96431676547104) is greater than itself. Its abundance is 55662684499008

Bases of 40768992048096

• Binary: 1001010001010001000101010010011111001111100000₂
• Hexadecimal: 0x25144549F3E0
• Base-36: EG90L8OO0

Squares and roots of 40768992048096

• 40768992048096 squared (40768992048096²) is 1662110712617714880777225216
• 40768992048096 cubed (40768992048096³) is 67762578425766793866749263519163695988736
• The square root of 40768992048096 is 6385060.0661306233
• The cube root of 40768992048096 is 34417.2889612639

Scales and comparisons

• 40,768,992,048,096 seconds is equal to 1,296,327 years, 43 weeks, 4 days, 21 hours, 21 minutes, 36 seconds.
• To count from 1 to 40,768,992,048,096 would take you about three million, two hundred forty thousand, eight hundred nineteen 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 40768992048096 cubic inches would be around 2868.1 feet tall.

Recreational maths with 40768992048096

• 40768992048096 backwards is 69084029986704
• 40768992048096 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40768992048096's digits is 72
• More coming soon!