438013073064448

Names of 438013073064448

• Cardinal: 438013073064448 can be written as Four hundred thirty-eight trillion, thirteen billion, seventy-three million, sixty-four thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.38013073064448 × 10¹⁴

Factors of 438013073064448

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 83828

Divisors of 438013073064448

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 14 16 17 23 28 32 34 37 46 56 64 68 74 92 101 112 119 128 136 148 161 184 202 224 238 256 259 272 296 322 368 391 404 448 476 512 518 544 592 629 644 707 736 782 808 851 896 952 1036 1088 1184 1258 1288 1414 1472 1564 1616 1702 1717 1792 1904 2072 2176 2323 2368 2516 2576 2737 2828 2944 3128 3232 3404 3434 3584 3737 3808 4144 4352 4403 4646 4736 5032 5152 5474 5656 5888 5957 6256 6464 6808 6868 7474 7616 8288 8704 8806 9292 9472 10064 10304 10948 11312 11776 11914 12019 12512 12928 13616 13736 14467 14948 15232 16261 16576 17612 18584 18944 20128 20608 21896 22624 23828 24038 25024 25856 26159 27232 27472 28934 29896 30464 32522 33152 35224 37168 39491 40256 41216 43792 45248 47656 48076 50048 51712 52318 54464 54944 57868 59792 60928 63529 65044 66304 70448 74336 78982 80512 82432 83641 85951 87584 90496 95312 96152 100096 101269 104636 108928 109888 115736 119584 127058 130088 132608 140896 148672 157964 161024 167282 171902 175168 180992 190624 192304 200192 202538 209272 217856 219776 231472 239168 254116 260176 276437 281792 297344 315928 322048 334564 343804 350336 361984 381248 384608 405076 418544 435712 439552 444703 462944 478336 508232 520352 552874 563584 585487 594688 601657 631856 669128 687608 700672 762496 769216 810152 837088 879104 889406 925888 956672 1016464 1040704 1105748 1127168 1170974 1189376 1203314 1263712 1338256 1375216 1401344 1421897 1461167 1524992 1538432 1620304 1674176 1778812 1851776 1913344 1923743 2032928 2081408 2211496 2254336 2341948 2406628 2527424 2676512 2750432 2843794 2922334 3049984 3076864 3094717 3240608 3348352 3557624 3703552 3847486 4065856 4162816 4422992 4683896 4813256 5054848 5353024 5500864 5687588 5844668 6153728 6189434 6481216 6696704 7115248 7407104 7694972 8131712 8325632 8447741 8845984 9367792 9626512 9953279 10109696 10228169 10706048 11001728 11375176 11689336 12378868 12962432 13393408 13466201 14230496 15389944 16263424 16895482 17691968 18735584 19253024 19906558 20219392 20456338 21412096 21663019 22003456 22750352 23378672 24757736 25924864 26932402 28460992 30779888 32526848 32703631 33790964 35383936 37471168 38506048 39813116 40912676 42824192 43326038 44006912 45500704 46757344 49515472 51849728 52610189 53864804 56921984 59134187 61559776 65407262 67581928 70767872 71178491 74942336 77012096 79626232 81825352 86652076 91001408 93514688 99030944 105220378 107729608 113843968 118268374 123119552 130814524 135163856 141535744 142356982 143611597 149884672 154024192 159252464 163650704 173304152 182002816 187029376 194298043 198061888 210440756 215459216 227687936 228925417 236536748 246239104 261629048 270327712 284713964 287223194 299769344 308048384 312566417 318504928 327301408 346608304 364005632 368271323 374058752 388596086 396123776 420881512 430918432 457850834 473073496 492478208 498249437 523258096 540655424 569427928 574446388 625132834 637009856 654602816 693216608 728011264 736542646 748117504 777192172 792247552 841763024 861836864 915701668 946146992 984956416 996498874 1005281179 1046516192 1081310848 1138855856 1148892776 1210034347 1250265668 1274019712 1309205632 1360086301 1386433216 1473085292 1554384344 1584495104 1683526048 1723673728 1831403336 1892293984 1992997748 2010562358 2093032384 2162621696 2187964919 2277711712 2297785552 2420068694 2500531336 2548039424 2618411264 2720172602 2772866432 2946170584 3108768688 3303066731 3367052096 3447347456 3662806672 3784587968 3985995496 4021124716 4186064768 4325243392 4375929838 4555423424 4595571104 4840137388 5001062672 5096078848 5236822528 5313629089 5440345204 5545732864 5892341168 6217537376 6606133462 6734104192 6894694912 7189027591 7325613344 7569175936 7971990992 8042249432 8372129536 8470240429 8751859676 9110846848 9191142208 9680274776 10002125344 10627258178 10880690408 11091465728 11784682336 12435074752 13212266924 13468208384 14378055182 14651226688 15138351872 15943981984 16084498864 16744259072 16940480858 17503719352 18221693696 18382284416 19360549552 20004250688 21254516356 21761380816 23121467117 23569364672 24870149504 26424533848 26936416768 28756110364 29302453376 30276703744 31887963968 32168997728 33880961716 35007438704 36443387392 36764568832 37195403623 38721099104 40008501376 42509032712 43522761632 46242934234 47138729344 49740299008 50323193137 52849067696 57512220728 58604906752 63775927936 64337995456 67761923432 70014877408 73529137664 74390807246 77442198208 80017002752 85018065424 87045523264 92485868468 94277458688 99480598016 100646386274 105698135392 115024441456 117209813504 122213469047 127551855872 128675990912 135523846864 140029754816 148781614492 154884396416 160034005504 170036130848 174091046528 184971736936 188554917376 201292772548 211396270784 230048882912 244426938094 255103711744 257351981824 271047693728 280059509632 297563228984 309768792832 340072261696 348182093056 369943473872 402585545096 422792541568 460097765824 488853876188 514703963648 542095387456 560119019264 595126457968 619537585664 680144523392 696364186112 739886947744 805171090192 845585083136 855494283329 920195531648 977707752376 1084190774912 1120238038528 1190252915936 1360289046784 1479773895488 1610342180384 1691170166272 1710988566658 1840391063296 1955415504752 2168381549824 2380505831872 2720578093568 2959547790976 3220684360768 3421977133316 3680782126592 3910831009504 4336763099648 4761011663744 5919095581952 6441368721536 6843954266632 7821662019008 9522023327488 11838191163904 12882737443072 13687908533264 15643324038016 19044046654976 25765474886144 27375817066528 31286648076032 54751634133056 62573296152064 109503268266112 219006536532224 438013073064448
• Sum of all divisors σ(n): 1146192453559296
• Sum of proper divisors (its aliquot sum) s(n): 708179380494848
• 438013073064448 is an abundant number, because the sum of its proper divisors (708179380494848) is greater than itself. Its abundance is 270166307430400

Bases of 438013073064448

• Binary: 1100011100101111011011101101000001000001000000000₂
• Hexadecimal: 0x18E5EDDA08200
• Base-36: 4B9GFEJG1S

Squares and roots of 438013073064448

• 438013073064448 squared (438013073064448²) is 191855452175361462061561544704
• 438013073064448 cubed (438013073064448³) is 84035196191499309065155182881369433825083392
• The square root of 438013073064448 is 20928761.8617167127
• The cube root of 438013073064448 is 75944.3887419721

Scales and comparisons

• 438,013,073,064,448 seconds is equal to 13,927,460 years, 44 weeks, 5 days, 1 hour, 27 minutes, 28 seconds.
• To count from 1 to 438,013,073,064,448 would take you about thirty-four million, eight hundred eighteen thousand, six hundred fifty-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 438013073064448 cubic inches would be around 6328.7 feet tall.

Recreational maths with 438013073064448

• 438013073064448 backwards is 844460370310834
• The number of decimal digits it has is: 15
• The sum of 438013073064448's digits is 55
• More coming soon!