40354016288768

Names of 40354016288768

• Cardinal: 40354016288768 can be written as Forty trillion, three hundred fifty-four billion, sixteen million, two hundred eighty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0354016288768 × 10¹³

Factors of 40354016288768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 672

Divisors of 40354016288768

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 169 182 196 208 217 224 248 256 338 364 392 403 416 434 448 496 512 619 637 676 728 784 806 832 868 896 961 992 1024 1183 1238 1274 1352 1456 1519 1568 1612 1664 1736 1792 1922 1984 2048 2366 2476 2548 2704 2821 2912 3038 3136 3224 3328 3472 3584 3844 3968 4096 4333 4732 4952 5096 5239 5408 5642 5824 6076 6272 6448 6656 6727 6944 7168 7688 7936 8047 8192 8281 8666 9464 9904 10192 10478 10816 11284 11648 12152 12493 12544 12896 13312 13454 13888 14336 15376 15872 16094 16562 17332 18928 19189 19747 19808 20384 20956 21632 22568 23296 24304 24986 25088 25792 26624 26908 27776 28672 30331 30752 31744 32188 33124 34664 36673 37856 38378 39494 39616 40768 41912 43264 45136 46592 47089 48608 49972 50176 51584 53248 53816 55552 56329 57344 60662 61504 63488 64376 66248 69328 73346 75712 76756 78988 79232 81536 83824 86528 87451 90272 93184 94178 97216 99944 100352 103168 104611 106496 107632 111104 112658 121324 123008 126976 128752 132496 134323 138656 146692 151424 153512 157976 158464 162409 163072 167648 173056 174902 180544 186368 188356 194432 199888 200704 206336 209222 215264 222208 225316 242648 246016 249457 253952 256711 257504 264992 268646 277312 293384 302848 307024 315952 316928 324818 326144 335296 346112 349804 361088 372736 376712 388864 394303 399776 401408 412672 418444 430528 444416 450632 485296 492032 498914 513422 515008 529984 537292 554624 586768 594859 605696 612157 614048 631904 633856 649636 652288 670592 692224 699608 722176 732277 745472 753424 777728 788606 799552 825344 836888 861056 888832 901264 940261 970592 984064 997828 1026844 1030016 1059968 1074584 1109248 1136863 1173536 1189718 1211392 1224314 1228096 1263808 1267712 1299272 1304576 1341184 1384448 1399216 1444352 1464554 1506848 1555456 1577212 1599104 1650688 1673776 1722112 1746199 1777664 1802528 1880522 1941184 1968128 1995656 2053688 2060032 2119936 2149168 2218496 2273726 2347072 2379436 2422784 2448628 2456192 2527616 2535424 2598544 2609152 2682368 2798432 2888704 2929108 3013696 3110912 3154424 3198208 3242941 3301376 3347552 3444224 3492398 3605056 3761044 3882368 3936256 3991312 4107376 4120064 4164013 4239872 4298336 4436992 4547452 4694144 4758872 4845568 4897256 4912384 5055232 5070848 5125939 5197088 5218304 5364736 5596864 5777408 5858216 6027392 6221824 6308848 6396416 6485882 6695104 6888448 6984796 7210112 7522088 7733167 7764736 7872512 7958041 7982624 8214752 8240128 8328026 8479744 8596672 8873984 9094904 9388288 9517744 9691136 9794512 9824768 10110464 10251878 10394176 10729472 11193728 11554816 11716432 12054784 12223393 12443648 12617696 12792832 12971764 13390208 13776896 13969592 14420224 15044176 15466334 15529472 15916082 15965248 16429504 16480256 16656052 16959488 17193344 17747968 18189808 18776576 19035488 19589024 19649536 20220928 20503756 20788352 21458944 22387456 22700587 23109632 23432864 24109568 24446786 25235392 25585664 25943528 26780416 27553792 27939184 28840448 29148091 30088352 30932668 31058944 31832164 31930496 32859008 32960512 33312104 33918976 34386688 35495936 36379616 37553152 38070976 39178048 39299072 40441856 41007512 41576704 42917888 44774912 45401174 46865728 48219136 48893572 50470784 51171328 51887056 53560832 54132169 55107584 55878368 57680896 58296182 60176704 61865336 62117888 63664328 63860992 65718016 65921024 66624208 67837952 68773376 72759232 75106304 76141952 78356096 78598144 80883712 82015024 83153408 89549824 90802348 93731456 96438272 97787144 100531171 100941568 102342656 103774112 107121664 108264338 111756736 115361792 116592364 120353408 123730672 124235776 127328656 127721984 131436032 133248416 137546752 145518464 150212608 152283904 156712192 157196288 158904109 161767424 164030048 166306816 179099648 181604696 187462912 192876544 195574288 201062342 201883136 207548224 214243328 216528676 223513472 230723584 233184728 240706816 247461344 248471552 254657312 255443968 262872064 266496832 275093504 291036928 300425216 304567808 313424384 317808218 328060096 332613632 358199296 363209392 374925824 378925183 385753088 391148576 402124684 403766272 415096448 428486656 433057352 447026944 461447168 466369456 481413632 494922688 509314624 510887936 525744128 532993664 550187008 582073856 609135616 626848768 635616436 656120192 665227264 703718197 716398592 726418784 749851648 757850366 782297152 804249368 807532544 830192896 856973312 866114704 894053888 932738912 962827264 989845376 1018629248 1021775872 1051488256 1065987328 1100374016 1164147712 1218271232 1253697536 1271232872 1312240384 1330454528 1407436394 1452837568 1499703296 1515700732 1564594304 1608498736 1615065088 1660385792 1732229408 1788107776 1865477824 1925654528 1979690752 2037258496 2043551744 2102976512 2131974656 2328295424 2436542464 2507395072 2542465744 2624480768 2814872788 2905675136 2999406592 3031401464 3129188608 3216997472 3230130176 3320771584 3464458816 3576215552 3730955648 3851309056 3959381504 4074516992 4263949312 4656590848 4873084928 4926027379 5014790144 5084931488 5248961536 5629745576 5811350272 5998813184 6062802928 6258377216 6433994944 6641543168 6928917632 7152431104 7461911296 7702618112 7918763008 8149033984 8527898624 9313181696 9852054758 10169862976 10497923072 11259491152 11622700544 12125605856 12516754432 12867989888 13283086336 13857835264 14304862208 14923822592 15837526016 16298067968 17055797248 19704109516 20339725952 20995846144 22518982304 23245401088 24251211712 25033508864 25735979776 26566172672 27715670528 29847645184 31675052032 32596135936 34111594496 39408219032 40679451904 41991692288 45037964608 46490802176 48502423424 50067017728 51471959552 55431341056 59695290368 63350104064 65192271872 78816438064 81358903808 90075929216 92981604352 97004846848 100134035456 102943919104 110862682112 119390580736 157632876128 162717807616 180151858432 185963208704 194009693696 205887838208 221725364224 238781161472 315265752256 325435615232 360303716864 388019387392 411775676416 443450728448 630531504512 650871230464 720607433728 776038774784 823551352832 1261063009024 1301742460928 1441214867456 1552077549568 2522126018048 2882429734912 3104155099136 5044252036096 5764859469824 10088504072192 20177008144384 40354016288768
• Sum of all divisors σ(n): 105210798003180
• Sum of proper divisors (its aliquot sum) s(n): 64856781714412
• 40354016288768 is an abundant number, because the sum of its proper divisors (64856781714412) is greater than itself. Its abundance is 24502765425644

Bases of 40354016288768

• Binary: 1001001011001110100110110011100110000000000000₂
• Hexadecimal: 0x24B3A6CE6000
• Base-36: EAYDNDZI8

Squares and roots of 40354016288768

• 40354016288768 squared (40354016288768²) is 1628446630634153067962957824
• 40354016288768 cubed (40354016288768³) is 65714361857999979685989400566548588920832
• The square root of 40354016288768 is 6352481.1128226111
• The cube root of 40354016288768 is 34300.1159628455

Scales and comparisons

• 40,354,016,288,768 seconds is equal to 1,283,132 years, 46 weeks, 3 days, 17 hours, 6 minutes, 8 seconds.
• To count from 1 to 40,354,016,288,768 would take you about three million, two hundred seven thousand, eight hundred 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 40354016288768 cubic inches would be around 2858.3 feet tall.

Recreational maths with 40354016288768

• 40354016288768 backwards is 86788261045304
• 40354016288768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40354016288768's digits is 62
• More coming soon!