168400414128128

Names of 168400414128128

• Cardinal: 168400414128128 can be written as One hundred sixty-eight trillion, four hundred billion, four hundred fourteen million, one hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.68400414128128 × 10¹⁴

Factors of 168400414128128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 672

Divisors of 168400414128128

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 182 196 208 217 224 248 256 343 364 392 403 416 434 448 496 512 619 637 686 728 784 806 832 868 896 961 992 1024 1238 1274 1372 1456 1519 1568 1612 1664 1736 1792 1922 1984 2048 2476 2548 2744 2821 2912 3038 3136 3224 3328 3472 3584 3844 3968 4333 4459 4952 5096 5488 5642 5824 6076 6272 6448 6656 6727 6944 7168 7688 7936 8047 8666 8918 9904 10192 10633 10976 11284 11648 12152 12493 12544 12896 13312 13454 13888 14336 15376 15872 16094 17332 17836 19189 19747 19808 20384 21266 21952 22568 23296 24304 24986 25088 25792 26624 26908 27776 29791 30331 30752 31744 32188 34664 35672 38378 39494 39616 40768 42532 43904 45136 46592 47089 48608 49972 50176 51584 53816 55552 56329 59582 60662 61504 63488 64376 69328 71344 76756 78988 79232 81536 85064 87451 87808 90272 93184 94178 97216 99944 100352 103168 107632 111104 112658 119164 121324 123008 128752 134323 138229 138656 142688 153512 157976 158464 163072 170128 174902 175616 180544 186368 188356 194432 199888 206336 208537 212317 215264 222208 225316 238328 242648 246016 249457 257504 268646 276458 277312 285376 307024 315952 316928 326144 329623 340256 349804 351232 361088 376712 387283 388864 394303 399776 412672 417074 424634 430528 444416 450632 476656 485296 492032 498914 515008 537292 552916 554624 570752 594859 612157 614048 631904 633856 652288 659246 680512 699608 702464 722176 753424 774566 777728 788606 799552 825344 834148 849268 861056 901264 940261 953312 970592 984064 997828 1030016 1074584 1105832 1109248 1141504 1189718 1224314 1228096 1263808 1267712 1304576 1318492 1361024 1399216 1444352 1459759 1506848 1549132 1555456 1577212 1599104 1668296 1698536 1722112 1746199 1802528 1880522 1906624 1941184 1968128 1995656 2060032 2149168 2211664 2218496 2283008 2379436 2448628 2456192 2527616 2636984 2710981 2722048 2760121 2798432 2888704 2919518 3013696 3098264 3110912 3154424 3198208 3336592 3397072 3444224 3492398 3605056 3761044 3813248 3882368 3991312 4120064 4164013 4285099 4298336 4423328 4436992 4566016 4758872 4897256 4912384 5055232 5273968 5421962 5444096 5520242 5596864 5777408 5839036 6027392 6196528 6308848 6396416 6581827 6673184 6794144 6888448 6984796 7210112 7522088 7626496 7733167 7764736 7982624 8240128 8328026 8570198 8596672 8846656 8873984 9132032 9517744 9794512 9824768 10110464 10218313 10547936 10843924 10888192 11040484 11193728 11678072 12054784 12223393 12393056 12617696 12792832 13163654 13346368 13588288 13776896 13969592 14420224 15044176 15252992 15466334 15529472 15965248 16480256 16656052 17140396 17193344 17693312 18440629 18976867 19035488 19589024 19649536 20220928 20436626 21095872 21687848 21776384 22080968 22387456 23356144 24109568 24446786 24786112 25235392 25585664 26327308 26692736 27176576 27939184 28840448 29148091 30088352 30505984 30932668 31058944 31930496 33312104 34280792 34386688 35386624 36881258 37953734 38070976 39178048 39299072 40441856 40873252 42191744 43375696 44161936 44774912 46712288 48219136 48893572 49572224 50470784 52654616 53385472 54132169 54353152 55878368 57680896 58296182 60176704 61011968 61865336 62117888 63860992 66624208 68561584 68773376 70773248 73762516 75907468 76141952 78356096 81746504 84383488 85563751 86751392 88323872 89549824 93424576 96438272 97787144 99144448 100941568 105309232 106770944 108264338 108706304 111756736 115361792 116592364 120353408 123730672 127721984 129084403 132838069 133248416 137123168 137546752 141546496 147525032 151814936 152283904 156712192 163493008 168766976 171127502 173502784 176647744 179099648 186849152 195574288 198288896 201883136 204036637 210618464 213541888 216528676 217412608 223513472 233184728 239728177 240706816 247461344 255443968 258168806 265676138 266496832 274246336 275093504 283092992 295050064 303629872 304567808 313424384 326986016 337533952 342255004 347005568 353295488 373698304 378925183 391148576 396577792 403766272 408073274 421236928 427083776 433057352 434825216 447026944 466369456 479456354 481413632 494922688 510887936 516337612 531352276 532993664 548492672 590100128 607259744 609135616 626848768 653972032 675067904 684510008 694011136 706590976 747396608 757850366 782297152 793155584 807532544 816146548 842473856 866114704 894053888 903590821 932738912 958912708 962827264 989845376 1032675224 1062704552 1065987328 1096985344 1180200256 1214519488 1218271232 1253697536 1307944064 1369020016 1388022272 1413181952 1494793216 1515700732 1564594304 1632293096 1678097239 1684947712 1732229408 1788107776 1807181642 1865477824 1917825416 1925654528 1979690752 2065350448 2125409104 2131974656 2193970688 2360400512 2429038976 2615888128 2652476281 2738040032 2776044544 2826363904 2989586432 3031401464 3129188608 3264586192 3356194478 3369895424 3464458816 3576215552 3614363284 3730955648 3835650832 3959381504 4130700896 4250818208 4263949312 4387941376 4720801024 4858077952 5231776256 5304952562 5476080064 5552089088 5652727808 6062802928 6258377216 6325135747 6529172384 6712388956 6739790848 6928917632 7228726568 7461911296 7671301664 7918763008 8261401792 8501636416 8527898624 8775882752 9441602048 9716155904 10463552512 10609905124 10952160128 11746680673 12125605856 12516754432 12650271494 13058344768 13424777912 13479581696 13857835264 14457453136 14923822592 15342603328 15837526016 16522803584 17003272832 18883204096 19432311808 20927105024 21219810248 21904320256 23493361346 24251211712 25033508864 25300542988 26116689536 26849555824 27715670528 28914906272 29847645184 30685206656 33045607168 34006545664 37766408192 38864623616 42439620496 43808640512 46986722692 48502423424 50601085976 52233379072 53699111648 55431341056 57829812544 59695290368 61370413312 66091214336 68013091328 82226764711 84879240992 87617281024 93973445384 97004846848 101202171952 104466758144 107398223296 110862682112 115659625088 122740826624 132182428672 136026182656 164453529422 169758481984 175234562048 187946890768 194009693696 202404343904 208933516288 214796446592 231319250176 245481653248 264364857344 272052365312 328907058844 339516963968 375893781536 388019387392 404808687808 417867032576 429592893184 462638500352 490963306496 657814117688 679033927936 751787563072 776038774784 809617375616 859185786368 925277000704 1315628235376 1358067855872 1503575126144 1619234751232 1718371572736 1850554001408 2631256470752 2716135711744 3007150252288 3238469502464 3436743145472 5262512941504 5432271423488 6014300504576 6476939004928 10525025883008 12028601009152 12953878009856 21050051766016 24057202018304 42100103532032 84200207064064 168400414128128
• Sum of all divisors σ(n): 437681986560000
• Sum of proper divisors (its aliquot sum) s(n): 269281572431872
• 168400414128128 is an abundant number, because the sum of its proper divisors (269281572431872) is greater than itself. Its abundance is 100881158303744

Bases of 168400414128128

• Binary: 100110010010100011000110110111010011100000000000₂
• Hexadecimal: 0x9928C6DD3800
• Base-36: 1NOY2YLO8W

Squares and roots of 168400414128128

• 168400414128128 squared (168400414128128²) is 28358699478525012506400784384
• 168400414128128 cubed (168400414128128³) is 4775616736318739662217522542610454677553152
• The square root of 168400414128128 is 12976918.5143518567
• The cube root of 168400414128128 is 55222.2865322055

Scales and comparisons

• 168,400,414,128,128 seconds is equal to 5,354,612 years, 14 weeks, 1 day, 5 hours, 22 minutes, 8 seconds.
• To count from 1 to 168,400,414,128,128 would take you about thirteen million, three hundred eighty-six thousand, five hundred thirty 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 168400414128128 cubic inches would be around 4601.9 feet tall.

Recreational maths with 168400414128128

• 168400414128128 backwards is 821821414004861
• The number of decimal digits it has is: 15
• The sum of 168400414128128's digits is 50
• More coming soon!