40432013074432

Names of 40432013074432

• Cardinal: 40432013074432 can be written as Forty trillion, four hundred thirty-two billion, thirteen million, seventy-four thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 4.0432013074432 × 10¹³

Factors of 40432013074432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 240

Divisors of 40432013074432

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 41 43 49 56 62 64 76 82 86 97 98 112 124 128 133 152 164 172 194 196 217 224 248 256 266 287 301 304 328 344 388 392 434 448 496 512 532 574 589 602 608 656 679 688 776 779 784 817 868 896 931 992 1024 1064 1148 1178 1204 1216 1271 1312 1333 1358 1376 1519 1552 1558 1568 1634 1736 1763 1792 1843 1862 1984 2009 2048 2107 2128 2296 2356 2408 2432 2542 2624 2666 2716 2752 3007 3038 3104 3116 3136 3268 3472 3526 3584 3686 3724 3968 3977 4018 4096 4123 4171 4214 4256 4592 4712 4753 4816 4864 5084 5248 5332 5432 5453 5504 5719 6014 6076 6208 6232 6272 6536 6944 7052 7168 7372 7448 7936 7954 8036 8192 8246 8342 8428 8512 8897 9184 9331 9424 9506 9632 9728 10168 10496 10664 10864 10906 11008 11438 12028 12152 12341 12416 12464 12544 12901 13072 13888 14104 14336 14744 14896 15872 15908 16072 16492 16684 16856 17024 17794 18368 18662 18848 19012 19264 19456 20336 20992 21049 21328 21728 21812 22016 22876 24056 24149 24304 24682 24832 24928 25088 25327 25802 26144 27776 27839 28208 28672 28861 29197 29488 29792 31744 31816 32144 32984 33368 33497 33712 34048 35588 36736 37324 37696 38024 38171 38528 38912 40033 40672 41984 42098 42656 43456 43624 44032 45752 48112 48298 48608 49364 49664 49856 50176 50654 51604 52288 54653 55552 55678 56416 57133 57344 57722 58394 58976 59584 62279 63488 63632 64288 65317 65968 66736 66994 67424 68096 71176 73472 74648 75392 75563 76048 76342 77056 77824 79249 80066 81344 83968 84196 85312 86387 86912 87248 88064 90307 91504 96224 96596 97216 98728 99328 99712 100352 101308 103208 104576 109306 111104 111356 112832 114266 115444 116788 117952 119168 123287 124558 126976 127264 128576 129301 130634 131936 133472 133988 134848 136192 142352 146944 147343 149296 150784 151126 152096 152684 154112 155648 158498 160132 162688 167936 168392 169043 170624 171011 172774 173824 174496 176128 177289 180614 183008 192448 193192 194432 194873 197456 198656 199424 200704 202616 204379 206416 209152 218612 222208 222712 225664 228532 230888 233576 234479 235904 238336 246574 249116 253952 254528 257152 258602 261268 263872 266944 267976 269696 272384 284704 293888 294686 298592 301568 302252 304192 305368 308224 316996 320264 325376 335872 336784 338086 341248 342022 345548 347648 348992 352256 354578 361228 366016 382571 384896 386384 388864 389746 394912 397312 398848 399931 401408 405232 408758 412832 418304 437224 444416 445424 451328 457064 461776 467152 468958 471808 476672 493148 498232 509056 514304 517204 522536 527744 528941 533888 535952 539392 544768 554743 569408 587776 589372 597184 603136 604504 608384 610736 616448 633992 640528 650752 673568 676172 682496 684044 691096 695296 697984 709156 722456 732032 765142 769792 772768 777728 779492 789824 794624 797696 799862 810464 817516 825664 836608 863009 874448 888832 890848 902656 905107 914128 923552 934304 937916 943616 953344 986296 996464 1018112 1028608 1034408 1038407 1045072 1055488 1057882 1067776 1071904 1078784 1089536 1109486 1138816 1175552 1178744 1183301 1194368 1197077 1206272 1209008 1216768 1221472 1232896 1241023 1267984 1281056 1301504 1347136 1352344 1364992 1368088 1382192 1390592 1395968 1418312 1444912 1464064 1530284 1539584 1545536 1555456 1558984 1579648 1595392 1599724 1620928 1635032 1641353 1651328 1673216 1726018 1748896 1777664 1781696 1805312 1810214 1828256 1847104 1868608 1875832 1887232 1906688 1972592 1992928 2036224 2057216 2068816 2076814 2090144 2110976 2115764 2135552 2143808 2157568 2218972 2277632 2342453 2351104 2357488 2366602 2388736 2394154 2412544 2418016 2433536 2442944 2456719 2465792 2482046 2535968 2562112 2603008 2677997 2694272 2704688 2729984 2736176 2764384 2781184 2791936 2799517 2836624 2889824 2928128 3060568 3079168 3091072 3110912 3117968 3159296 3190784 3199448 3241856 3249209 3270064 3282706 3302656 3346432 3452036 3497792 3563392 3610624 3620428 3656512 3694208 3702587 3737216 3751664 3774464 3813376 3883201 3945184 3985856 4072448 4114432 4137632 4153628 4180288 4221952 4231528 4271104 4287616 4315136 4437944 4555264 4684906 4714976 4733204 4777472 4788308 4825088 4836032 4867072 4885888 4913438 4964092 5071936 5124224 5206016 5301341 5355994 5388544 5409376 5459968 5472352 5528768 5562368 5583872 5599034 5673248 5779648 5856256 6041063 6121136 6158336 6182144 6221824 6235936 6318592 6335749 6381568 6398896 6483712 6498418 6540128 6565412 6605312 6692864 6904072 6995584 7126784 7221248 7240856 7268849 7313024 7388416 7405174 7474432 7503328 7548928 7626752 7766402 7890368 7971712 8144896 8228864 8275264 8307256 8360576 8379539 8443904 8463056 8542208 8575232 8630272 8875888 9110528 9369812 9429952 9466408 9554944 9576616 9672064 9734144 9771776 9826876 9928184 10143872 10248448 10412032 10602682 10711988 10777088 10818752 10919936 10944704 11057536 11167744 11198068 11346496 11559296 11712512 12082126 12242272 12316672 12364288 12443648 12471872 12637184 12671498 12797792 12967424 12996836 13080256 13130824 13210624 13808144 13991168 14253568 14442496 14481712 14537698 14626048 14776832 14810348 14948864 15006656 15097856 15532804 15780736 15943424 16289792 16397171 16457728 16550528 16614512 16721152 16759078 16887808 16926112 17084416 17150464 17197033 17260544 17751776 18221056 18739624 18859904 18932816 19109888 19153232 19344128 19468288 19543552 19653752 19856368 20287744 20496896 21205364 21423976 21554176 21637504 21889408 22115072 22335488 22396136 22692992 22744463 23118592 23425024 24164252 24484544 24633344 24728576 24943744 25274368 25342996 25595584 25934848 25993672 26160512 26261648 26421248 27616288 27982336 28507136 28963424 29075396 29252096 29553664 29620696 29897728 30013312 31065608 31561472 31886848 32579584 32794342 33101056 33229024 33442304 33518156 33775616 33852224 34168832 34300928 34394066 35503552 36442112 37109387 37479248 37719808 37865632 38219776 38306464 38688256 38936576 39087104 39307504 39712736 40575488 40993792 42410728 42847952 43108352 43275008 43778816 44230144 44670976 44792272 45385984 45488926 46237184 46850048 48328504 48969088 49457152 49887488 50548736 50685992 50881943 51191168 51869696 51987344 52321024 52523296 52842496 55232576 55964672 57014272 57926848 58150792 58504192 59107328 59241392 59795456 60026624 62131216 63122944 63773696 65588684 66202112 66458048 66884608 67036312 67704448 68601856 68788132 71007104 72884224 74218774 74958496 75439616 75731264 76439552 76612928 77376512 78174208 78615008 79425472 81150976 81987584 84821456 85695904 86216704 86550016 87557632 88460288 89584544 90771968 90977852 92474368 96657008 97938176 98914304 99774976 100725479 101097472 101371984 101763886 102382336 103739392 103974688 104642048 105046592 105684992 110465152 111929344 114028544 114780197 115853696 116301584 117008384 118214656 118482784 119590912 120053248 120379231 124262432 126245888 127547392 131177368 132404224 132916096 133769216 134072624 135408896 137203712 137576264 142014208 148437548 149916992 150879232 151462528 153225856 154753024 156348416 157230016 158850944 159211241 162301952 163975168 169642912 171391808 172433408 173100032 175115264 176920576 179169088 181543936 181955704 184948736 193314016 195876352 197828608 199549952 201450958 202743968 203527772 204764672 207478784 207949376 209284096 210093184 220930304 223858688 228057088 229560394 231707392 232603168 234016768 236429312 236965568 239181824 240106496 240758462 248524864 252491776 255094784 259765709 262354736 264808448 265832192 267538432 268145248 270817792 274407424 275152528 284028416 296875096 299833984 301758464 302925056 306451712 309506048 312696832 314460032 317701888 318422482 324603904 327950336 339285824 342783616 346200064 350230528 353841152 358338176 363087872 363911408 369897472 386628032 391752704 399099904 402901916 405487936 407055544 409529344 415898752 418568192 420186368 441860608 447717376 459120788 463414784 465206336 468033536 473931136 480212992 481516924 497049728 504983552 510189568 519531418 524709472 529616896 531664384 535076864 536290496 541635584 550305056 568056832 593750192 599667968 603516928 605850112 612903424 619012096 628920064 635403776 636844964 649207808 678571648 685567232 692400128 700461056 705078353 707682304 716676352 726175744 727822816 739794944 773256064 783505408 798199808 805803832 810975872 814111088 819058688 831797504 837136384 840372736 883721216 918241576 926829568 930412672 947862272 960425984 963033848 994099456 1009967104 1039062836 1049418944 1059233792 1063328768 1072580992 1083271168 1100610112 1136113664 1187500384 1199335936 1207033856 1211700224 1225806848 1257840128 1270807552 1273689928 1357143296 1371134464 1384800256 1400922112 1410156706 1433352704 1452351488 1455645632 1546512128 1567010816 1596399616 1611607664 1621951744 1628222176 1638117376 1663595008 1674272768 1680745472 1767442432 1836483152 1853659136 1860825344 1895724544 1920851968 1926067696 1988198912 2078125672 2098837888 2126657536 2145161984 2166542336 2201220224 2272227328 2375000768 2398671872 2423400448 2451613696 2515680256 2541615104 2547379856 2714286592 2742268928 2820313412 2866705408 2911291264 3093024256 3134021632 3223215328 3243903488 3256444352 3276234752 3327190016 3361490944 3534884864 3672966304 3707318272 3721650688 3791449088 3852135392 3976397824 4156251344 4197675776 4253315072 4290323968 4333084672 4402440448 4544454656 4750001536 4797343744 4846800896 4903227392 4935548471 5031360512 5083230208 5094759712 5428573184 5484537856 5640626824 5733410816 5822582528 6186048512 6446430656 6487806976 6512888704 6654380032 6722981888 7069769728 7345932608 7414636544 7443301376 7582898176 7704270784 7952795648 8312502688 8395351552 8506630144 8580647936 8804880896 9500003072 9594687488 9693601792 9806454784 9871096942 10062721024 10166460416 10189519424 10857146368 10969075712 11281253648 11466821632 11645165056 12372097024 12892861312 12975613952 13025777408 13308760064 13445963776 14691865216 14886602752 15165796352 15408541568 15905591296 16625005376 16790703104 17161295872 17609761792 19000006144 19189374976 19742193884 20125442048 20379038848 21714292736 21938151424 22562507296 22933643264 23290330112 24744194048 25785722624 25951227904 26051554816 26617520128 29383730432 29773205504 30331592704 30817083136 31811182592 33250010752 33581406208 34322591744 35219523584 38000012288 39484387768 40758077696 43428585472 45125014592 46580660224 49488388096 51571445248 51902455808 52103109632 58767460864 59546411008 61634166272 66500021504 67162812416 68645183488 70439047168 76000024576 78968775536 81516155392 90250029184 93161320448 103142890496 104206219264 117534921728 123268332544 133000043008 134325624832 140878094336 152000049152 157937551072 163032310784 180500058368 186322640896 206285780992 208412438528 235069843456 246536665088 266000086016 304000098304 315875102144 326064621568 361000116736 412571561984 416824877056 470139686912 493073330176 532000172032 631750204288 652129243136 722000233472 825143123968 940279373824 986146660352 1064000344064 1263500408576 1304258486272 1444000466944 2128000688128 2527000817152 2888000933888 5054001634304 5776001867776 10108003268608 20216006537216 40432013074432
• Sum of all divisors σ(n): 108237138831360
• Sum of proper divisors (its aliquot sum) s(n): 67805125756928
• 40432013074432 is an abundant number, because the sum of its proper divisors (67805125756928) is greater than itself. Its abundance is 27373112682496

Bases of 40432013074432

• Binary: 1001001100010111001111110001101110000000000000₂
• Hexadecimal: 0x24C5CFC6E000
• Base-36: EBY7KNSHS

Squares and roots of 40432013074432

• 40432013074432 squared (40432013074432²) is 1634747681251040188772122624
• 40432013074432 cubed (40432013074432³) is 66096139621739452586834339301848743149568
• The square root of 40432013074432 is 6358617.2297467317
• The cube root of 40432013074432 is 34322.2003158581

Scales and comparisons

• 40,432,013,074,432 seconds is equal to 1,285,612 years, 49 weeks, 3 days, 6 hours, 53 minutes, 52 seconds.
• To count from 1 to 40,432,013,074,432 would take you about three million, two hundred fourteen thousand and thirty-two 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 40432013074432 cubic inches would be around 2860.2 feet tall.

Recreational maths with 40432013074432

• 40432013074432 backwards is 23447031023404
• The number of decimal digits it has is: 14
• The sum of 40432013074432's digits is 37
• More coming soon!