444468068352

Names of 444468068352

• Cardinal: 444468068352 can be written as Four hundred forty-four billion, four hundred sixty-eight million, sixty-eight thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 4.44468068352 × 10¹¹

Factors of 444468068352

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 83

Divisors of 444468068352

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 28 32 33 36 37 42 44 46 48 56 63 64 66 69 72 74 77 84 88 92 96 99 111 112 126 128 132 138 144 148 154 161 168 176 184 192 198 207 222 224 231 252 253 256 259 264 276 288 296 308 322 333 336 352 368 384 396 407 414 444 448 462 483 504 506 512 518 528 529 552 576 592 616 644 666 672 693 704 736 759 768 777 792 814 828 851 888 896 924 966 1008 1012 1024 1036 1056 1058 1104 1152 1184 1221 1232 1288 1332 1344 1386 1408 1449 1472 1518 1536 1554 1584 1587 1628 1656 1702 1771 1776 1792 1848 1932 2016 2024 2048 2072 2112 2116 2208 2277 2304 2331 2368 2442 2464 2553 2576 2664 2688 2772 2816 2849 2898 2944 3036 3072 3108 3168 3174 3256 3312 3404 3542 3552 3584 3663 3696 3703 3864 4032 4048 4096 4144 4224 4232 4416 4554 4608 4662 4736 4761 4884 4928 5106 5152 5313 5328 5376 5544 5632 5698 5796 5819 5888 5957 6072 6144 6216 6336 6348 6512 6624 6808 7084 7104 7168 7326 7392 7406 7659 7728 8064 8096 8192 8288 8448 8464 8547 8832 9108 9216 9324 9361 9472 9522 9768 9856 10212 10304 10626 10656 10752 11088 11109 11264 11396 11592 11638 11776 11914 12144 12288 12432 12672 12696 13024 13248 13616 14168 14208 14336 14652 14784 14812 15318 15456 15939 16128 16192 16384 16576 16896 16928 17094 17457 17664 17871 18216 18432 18648 18722 18944 19044 19536 19573 19712 20424 20608 21252 21312 21504 22176 22218 22528 22792 23184 23276 23552 23828 24288 24576 24864 25344 25392 25641 26048 26496 27232 28083 28336 28416 28672 29304 29568 29624 30636 30912 31878 32256 32384 32768 33152 33327 33792 33856 34188 34914 35328 35742 36432 36864 37296 37444 37888 38088 39072 39146 39424 40733 40848 41216 42504 42624 43008 44352 44436 45056 45584 46368 46552 47104 47656 48576 49152 49728 50688 50784 51282 52096 52371 52992 53613 54464 56166 56672 56832 57344 58608 58719 59136 59248 61272 61824 63756 64512 64768 65527 66304 66654 67584 67712 68376 69828 70656 71484 72864 73728 74592 74888 75776 76176 78144 78292 78848 81466 81696 82432 84249 85008 85248 86016 88704 88872 90112 91168 92736 93104 94208 95312 97152 98304 99456 101376 101568 102564 104192 104742 105984 107226 108928 112332 113344 113664 114688 117216 117438 118272 118496 122199 122544 123648 127512 129024 129536 131054 132608 133308 135168 135424 136752 137011 139656 141312 142968 145728 147456 149184 149776 151552 152352 156288 156584 157696 162932 163392 164864 168498 170016 170496 172032 176157 177408 177744 180224 182336 185472 186208 188416 190624 194304 196581 198912 202752 203136 205128 208384 209484 211968 214452 215303 217856 224664 226688 227328 229376 234432 234876 236544 236992 244398 245088 247296 255024 258048 259072 262108 265216 266616 270336 270848 273504 274022 279312 282624 285936 291456 294912 298368 299552 303104 304704 312576 313168 315392 325864 326784 329728 336996 340032 340992 344064 352314 354816 355488 360448 364672 366597 370944 372416 376832 381248 388608 393162 397824 405504 406272 410256 411033 416768 418968 423936 428904 430606 435712 449328 453376 454656 468864 469752 473088 473984 488796 490176 494592 510048 516096 518144 524216 530432 533232 540672 541696 547008 548044 558624 565248 571872 582912 589743 596736 599104 606208 609408 625152 626336 630784 645909 651728 653568 659456 673992 680064 681984 688128 704628 709632 710976 729344 733194 741888 744832 753664 762496 777216 786324 795648 811008 812544 820512 822066 833536 837936 847872 857808 861212 871424 898656 906752 909312 937728 939504 946176 947968 977592 980352 989184 1020096 1032192 1036288 1048432 1060864 1066464 1081344 1083392 1094016 1096088 1117248 1130496 1143744 1165824 1179486 1193472 1198208 1212416 1218816 1233099 1250304 1252672 1261568 1291818 1303456 1307136 1318912 1347984 1360128 1363968 1409256 1419264 1421952 1458688 1466388 1483776 1489664 1507121 1524992 1554432 1572648 1591296 1622016 1625088 1641024 1644132 1667072 1675872 1695744 1715616 1722424 1742848 1797312 1813504 1818624 1875456 1879008 1892352 1895936 1937727 1955184 1960704 1978368 2040192 2064384 2072576 2096864 2121728 2132928 2166784 2188032 2192176 2234496 2260992 2287488 2331648 2358972 2386944 2396416 2437632 2466198 2500608 2505344 2523136 2583636 2606912 2614272 2637824 2695968 2720256 2727936 2818512 2838528 2843904 2917376 2932776 2967552 2979328 3014242 3049984 3108864 3145296 3182592 3244032 3250176 3282048 3288264 3334144 3351744 3391488 3431232 3444848 3485696 3594624 3627008 3637248 3750912 3758016 3784704 3791872 3875454 3910368 3921408 3956736 4080384 4145152 4193728 4243456 4265856 4333568 4376064 4384352 4468992 4521363 4574976 4663296 4717944 4773888 4792832 4875264 4932396 5001216 5010688 5167272 5213824 5228544 5275648 5391936 5440512 5455872 5637024 5677056 5687808 5834752 5865552 5935104 5958656 6028484 6099968 6217728 6290592 6365184 6500352 6564096 6576528 6668288 6703488 6782976 6862464 6889696 6971392 7189248 7254016 7501824 7516032 7569408 7583744 7750908 7820736 7842816 7913472 8160768 8290304 8387456 8486912 8531712 8667136 8752128 8768704 8937984 9042726 9149952 9326592 9435888 9547776 9585664 9750528 9864792 10002432 10021376 10334544 10427648 10457088 10783872 10881024 10911744 11274048 11354112 11375616 11669504 11731104 11870208 11917312 12056968 12199936 12435456 12581184 12730368 13000704 13128192 13153056 13336576 13406976 13564089 13724928 13779392 13942784 14378496 14508032 15003648 15032064 15167488 15501816 15641472 15685632 15826944 16321536 16774912 17063424 17334272 17504256 17537408 17875968 18085452 18299904 18653184 18871776 19095552 19171328 19501056 19729584 20004864 20042752 20669088 20855296 20914176 21567744 21762048 22548096 22708224 22751232 23339008 23462208 23740416 23834624 24113936 24399872 24870912 25162368 25460736 26001408 26256384 26306112 26813952 27128178 27449856 27558784 27885568 28756992 29016064 30007296 30064128 30334976 31003632 31282944 31371264 32643072 33549824 34126848 35008512 35074816 35751936 36170904 36599808 37306368 37743552 38191104 38342656 39002112 39459168 40009728 40085504 41338176 41710592 41828352 43135488 43524096 45096192 45502464 46678016 46924416 47480832 47669248 48227872 48799744 50324736 52002816 52512768 52612224 53627904 54256356 54899712 55117568 57513984 58032128 60014592 60128256 60669952 62007264 62565888 62742528 65286144 67099648 68253696 70017024 70149632 71503872 72341808 73199616 74612736 75487104 76382208 76685312 78004224 78918336 80171008 82676352 83421184 83656704 86270976 87048192 90192384 91004928 93356032 93848832 95338496 96455744 97599488 100649472 105025536 105224448 107255808 108512712 109799424 110235136 115027968 120029184 120256512 121339904 124014528 125131776 125485056 130572288 134199296 136507392 140034048 140299264 143007744 144683616 146399232 150974208 153370624 156008448 157836672 160342016 165352704 166842368 172541952 174096384 180384768 182009856 187697664 190676992 192911488 195198976 201298944 210051072 210448896 214511616 217025424 219598848 220470272 230055936 240513024 248029056 250263552 250970112 261144576 268398592 273014784 280068096 280598528 286015488 289367232 292798464 301948416 306741248 315673344 320684032 330705408 333684736 345083904 360769536 364019712 375395328 385822976 402597888 420102144 420897792 429023232 434050848 439197696 440940544 460111872 481026048 496058112 500527104 522289152 536797184 546029568 561197056 572030976 578734464 585596928 603896832 631346688 641368064 661410816 667369472 690167808 721539072 750790656 771645952 805195776 840204288 841795584 858046464 868101696 878395392 881881088 920223744 962052096 992116224 1001054208 1073594368 1092059136 1122394112 1157468928 1207793664 1262693376 1322821632 1334738944 1380335616 1443078144 1501581312 1543291904 1610391552 1683591168 1716092928 1736203392 1756790784 1763762176 1924104192 1984232448 2002108416 2147188736 2244788224 2314937856 2415587328 2525386752 2645643264 2760671232 2886156288 3003162624 3086583808 3220783104 3367182336 3472406784 3527524352 3968464896 4004216832 4489576448 4629875712 4831174656 5050773504 5291286528 5772312576 6006325248 6173167616 6441566208 6734364672 6944813568 7055048704 7936929792 9259751424 9662349312 10101547008 10582573056 12012650496 12346335232 13468729344 13889627136 15873859584 18519502848 19324698624 20203094016 21165146112 24692670464 27779254272 31747719168 37039005696 40406188032 49385340928 55558508544 63495438336 74078011392 111117017088 148156022784 222234034176 444468068352
• Sum of all divisors σ(n): 1718686307520
• Sum of proper divisors (its aliquot sum) s(n): 1274218239168
• 444468068352 is an abundant number, because the sum of its proper divisors (1274218239168) is greater than itself. Its abundance is 829750170816

Bases of 444468068352

• Binary: 110011101111100010111001000000000000000₂
• Hexadecimal: 0x677C5C8000
• Base-36: 5O6OT8G0

Squares and roots of 444468068352

• 444468068352 squared (444468068352²) is 197551863784558143995904
• 444468068352 cubed (444468068352³) is 87805495295659982547689717480030208
• The square root of 444468068352 is 666684.3843618957
• The cube root of 444468068352 is 7631.5634944103

Scales and comparisons

• 444,468,068,352 seconds is equal to 14,132 years, 36 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
• To count from 1 to 444,468,068,352 would take you about twenty-eight thousand, two hundred sixty-five 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 444468068352 cubic inches would be around 636 feet tall.

Recreational maths with 444468068352

• 444468068352 backwards is 253860864444
• The number of decimal digits it has is: 12
• The sum of 444468068352's digits is 54
• More coming soon!