40846920193728

Names of 40846920193728

• Cardinal: 40846920193728 can be written as Forty trillion, eight hundred forty-six billion, nine hundred twenty million, one hundred ninety-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0846920193728 × 10¹³

Factors of 40846920193728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1486

Divisors of 40846920193728

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 113 127 132 137 144 176 192 198 216 226 254 264 274 288 297 339 352 381 396 411 432 452 508 528 548 576 594 678 704 762 792 822 864 904 1016 1017 1056 1093 1096 1143 1188 1233 1243 1356 1397 1507 1524 1584 1644 1728 1808 2032 2034 2112 2186 2192 2286 2376 2466 2486 2712 2794 3014 3048 3051 3168 3279 3288 3429 3616 3699 3729 4064 4068 4191 4372 4384 4521 4572 4752 4932 4972 5424 5588 6028 6096 6102 6336 6558 6576 6858 7232 7398 7458 8128 8136 8382 8744 8768 9042 9144 9504 9837 9864 9944 10848 11176 11187 12023 12056 12192 12204 12573 13116 13152 13563 13716 14351 14796 14916 15481 16272 16764 17399 17488 18084 18288 19008 19674 19728 19888 21696 22352 22374 24046 24112 24384 24408 25146 26232 26304 27126 27432 28702 29511 29592 29832 30962 32544 33528 33561 34798 34976 36069 36168 36576 37719 39348 39456 39776 40689 43053 44704 44748 46443 48092 48224 48816 50292 52197 52464 54252 54864 57404 59022 59184 59664 61924 65088 67056 67122 69596 69952 72138 72336 73152 75438 78696 78912 79552 81378 86106 89408 89496 92886 96184 96448 97632 100584 104394 104928 108207 108504 109728 114808 118044 118368 119328 123509 123848 129159 134112 134244 138811 139192 139329 144276 144672 149741 150876 156591 157392 157861 162756 170291 172212 178992 185772 191389 192368 195264 201168 208788 209856 216414 217008 219456 229616 236088 236736 238656 247018 247696 258318 268224 268488 277622 278384 278658 288552 289344 299482 301752 313182 314784 315722 324621 325512 340582 344424 357984 370527 371544 382778 384736 387477 402336 416433 417576 417987 432828 434016 449223 459232 469773 472176 473583 494036 495392 510873 516636 536976 555244 556768 557316 574167 577104 598964 603504 626364 629568 631444 649242 651024 681164 688848 715968 741054 743088 765556 769472 774954 804672 832866 835152 835974 865656 868032 898446 918464 939546 944352 947166 988072 990784 1021746 1033272 1073952 1110488 1111581 1113536 1114632 1148334 1154208 1197928 1207008 1249299 1252728 1262888 1298484 1302048 1347669 1358599 1362328 1377696 1420749 1482108 1486176 1526921 1531112 1532619 1549908 1647151 1665732 1670304 1671948 1722501 1731312 1796892 1879092 1888704 1894332 1966087 1976144 2043492 2066544 2147904 2220976 2223162 2229264 2296668 2308416 2395856 2414016 2498598 2505456 2525776 2596968 2604096 2695338 2717198 2724656 2755392 2841498 2964216 2972352 3053842 3062224 3065238 3099816 3294302 3331464 3334743 3340608 3343896 3445002 3462624 3593784 3747897 3758184 3788664 3932174 3952288 4043007 4075797 4086984 4133088 4262247 4441952 4446324 4458528 4580763 4593336 4597857 4791712 4941453 4997196 5010912 5051552 5167503 5193936 5390676 5434396 5449312 5682996 5898261 5928432 6107684 6124448 6130476 6199632 6588604 6662928 6669486 6687792 6890004 6925248 7187568 7495794 7516368 7577328 7864348 7904576 8086014 8151594 8173968 8266176 8524494 8883904 8892648 8917056 9161526 9186672 9195714 9583424 9882906 9994392 10021824 10103104 10335006 10387872 10781352 10868792 10898624 11365992 11796522 11856864 12215368 12227391 12248896 12260952 12399264 13177208 13325856 13338972 13375584 13742289 13780008 14375136 14824359 14991588 15032736 15154656 15685643 15728696 16172028 16303188 16347936 16920733 17048988 17694783 17785296 18323052 18373344 18391428 19017107 19765812 19988784 20670012 20775744 21562704 21626957 21737584 22731984 23593044 23713728 24430736 24454782 24521904 24798528 26354416 26651712 26677944 26751168 27484578 27560016 28750272 29648718 29983176 30065472 30309312 31371286 31457392 32344056 32606376 32695872 33841466 34097976 35389566 35570592 36646104 36682173 36746688 36782856 38034214 39531624 39977568 41226867 41340024 43125408 43253914 43475168 44473077 45463968 47056929 47186088 48861472 48909564 49043808 50762199 52708832 53084349 53355888 54969156 55120032 57051321 59297436 59966352 62742572 62914784 64688112 64880871 65212752 67682932 68195952 70779132 71141184 73292208 73364346 73565712 76068428 79063248 79955136 82453734 82680048 86250816 86507828 86950336 88946154 90927936 94113858 94372176 97722944 97819128 98087616 101524398 105417664 106168698 106711776 109938312 110240064 114102642 118594872 119932704 125485144 125829568 129376224 129761742 130425504 135365864 136391904 141170787 141558264 146584416 146728692 147131424 152136856 152286597 158126496 164907468 165360096 171153963 172542073 173015656 177892308 186128063 188227716 188744352 194642613 195638256 203048796 209188177 212337396 213423552 219876624 228205284 237189744 239865408 250970288 258752448 259523484 260851008 270731728 272783808 282341574 283116528 293168832 293457384 294262848 304273712 304573194 316252992 329814936 330720192 342307926 345084146 346031312 355784616 372256126 376455432 377488704 389285226 391276512 406097592 418376354 423512361 424674792 439753248 456410568 456859791 474379488 501940576 513461889 517626219 519046968 541463456 558384189 564683148 566233056 583927839 586914768 608547424 609146388 627564531 659629872 684615852 690168292 692062624 711569232 744512252 752910864 778570452 782553024 812195184 836752708 847024722 849349584 879506496 912821136 913719582 948758976 1003881152 1026923778 1035252438 1038093936 1082926912 1116768378 1129366296 1132466112 1167855678 1173829536 1217094848 1218292776 1255129062 1319259744 1369231704 1380336584 1384125248 1423138464 1489024504 1505821728 1552878657 1557140904 1624390368 1673505416 1675152567 1694049444 1698699168 1825642272 1827439164 1882693593 2053847556 2070504876 2076187872 2148933091 2233536756 2258732592 2335711356 2347659072 2436585552 2510258124 2638519488 2738463408 2760673168 2846276928 2978049008 3011643456 3105757314 3114281808 3248780736 3347010832 3350305134 3388098888 3397398336 3651284544 3654878328 3765387186 4107695112 4141009752 4152375744 4297866182 4467073512 4517465184 4658635971 4671422712 4873171104 5020516248 5025457701 5476926816 5521346336 5648080779 5956098016 6211514628 6228563616 6446799273 6694021664 6700610268 6776197776 7309756656 7530774372 8215390224 8282019504 8595732364 8934147024 9034930368 9317271942 9342845424 9746342208 10041032496 10050915402 10953853632 11042692672 11296161558 11912196032 12423029256 12457127232 12893598546 13388043328 13401220536 13552395552 14619513312 15061548744 16430780448 16564039008 17191464728 17868294048 18634543884 18685690848 19340397819 20082064992 20101830804 22592323116 23638264001 24846058512 25787197092 26802441072 27104791104 29239026624 30123097488 32861560896 33128078016 34382929456 35736588096 37269087768 37371381696 38680795638 40164129984 40203661608 45184646232 47276528002 49692117024 51574394184 53604882144 58021193457 60246194976 68765858912 70914792003 74538175536 77361591276 80407323216 90369292464 94553056004 99384234048 103148788368 107209764288 116042386914 120492389952 137531717824 141829584006 149076351072 154723182552 160814646432 180738584928 189106112008 206297576736 212744376009 232084773828 283659168012 298152702144 309446365104 321629292864 361477169856 378212224016 412595153472 425488752018 464169547656 567318336024 618892730208 638233128027 756424448032 850977504036 928339095312 1134636672048 1237785460416 1276466256054 1512848896064 1701955008072 1856678190624 2269273344096 2552932512108 3403910016144 3713356381248 4538546688192 5105865024216 6807820032288 10211730048432 13615640064576 20423460096864 40846920193728
• Sum of all divisors σ(n): 134293869527040
• Sum of proper divisors (its aliquot sum) s(n): 93446949333312
• 40846920193728 is an abundant number, because the sum of its proper divisors (93446949333312) is greater than itself. Its abundance is 52600029139584

Bases of 40846920193728

• Binary: 1001010010011001101010001010110001011011000000₂
• Hexadecimal: 0x25266A2B16C0
• Base-36: EH8TDNAO0

Squares and roots of 40846920193728

• 40846920193728 squared (40846920193728²) is 1668470889312784273050537984
• 40846920193728 cubed (40846920193728³) is 68151897261317682623340552638943902564352
• The square root of 40846920193728 is 6391159.5343668273
• The cube root of 40846920193728 is 34439.2040515827

Scales and comparisons

• 40,846,920,193,728 seconds is equal to 1,298,805 years, 37 weeks, 1 day, 28 minutes, 48 seconds.
• To count from 1 to 40,846,920,193,728 would take you about three million, two hundred forty-seven thousand and fourteen 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 40846920193728 cubic inches would be around 2869.9 feet tall.

Recreational maths with 40846920193728

• 40846920193728 backwards is 82739102964804
• The number of decimal digits it has is: 14
• The sum of 40846920193728's digits is 63
• More coming soon!