481948268256

Names of 481948268256

• Cardinal: 481948268256 can be written as Four hundred eighty-one billion, nine hundred forty-eight million, two hundred sixty-eight thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 4.81948268256 × 10¹¹

Factors of 481948268256

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 248

Divisors of 481948268256

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 53 56 63 72 73 78 84 91 96 97 98 104 106 112 117 126 144 146 147 156 159 168 182 194 196 208 212 219 224 234 252 273 288 291 292 294 312 318 336 343 364 371 388 392 416 424 438 441 468 477 504 511 546 582 584 588 624 636 637 657 672 679 686 689 728 742 776 784 819 848 873 876 882 936 949 954 1008 1022 1029 1092 1113 1164 1168 1176 1248 1261 1272 1274 1314 1358 1372 1378 1456 1484 1533 1552 1568 1638 1696 1746 1752 1764 1872 1898 1908 1911 2016 2037 2044 2058 2067 2184 2226 2328 2336 2352 2522 2544 2548 2597 2628 2716 2744 2756 2847 2912 2968 3066 3087 3104 3276 3339 3492 3504 3528 3577 3744 3783 3796 3816 3822 3869 4074 4088 4116 4134 4368 4452 4459 4599 4656 4704 4753 4823 5044 5088 5096 5141 5194 5256 5432 5488 5512 5694 5733 5936 6111 6132 6174 6201 6552 6643 6678 6984 7008 7056 7081 7154 7566 7592 7632 7644 7738 7791 8148 8176 8232 8268 8541 8736 8827 8904 8918 9198 9312 9506 9646 10088 10192 10282 10388 10512 10731 10864 10976 11024 11349 11388 11466 11607 11872 12222 12264 12348 12402 13104 13286 13356 13377 13968 14112 14162 14259 14308 14469 15132 15184 15264 15288 15423 15476 15582 16296 16352 16464 16536 17082 17654 17808 17836 18179 18396 19012 19292 19929 20176 20384 20564 20776 21024 21243 21462 21728 22048 22698 22776 22932 23214 23373 24444 24528 24696 24804 25039 26208 26481 26572 26712 26754 27083 27936 28324 28518 28616 28938 30264 30368 30576 30846 30952 31164 32193 32592 32928 33072 33271 33761 34164 34821 35308 35616 35672 35987 36358 36792 38024 38584 39858 40131 40352 41128 41552 42486 42777 42924 43407 45396 45552 45864 46269 46428 46501 46746 48888 49056 49392 49567 49608 50078 50297 52962 53144 53424 53508 54166 54537 56648 57036 57232 57876 59787 60528 61152 61692 61789 61904 62328 63729 64386 65184 66144 66542 66833 67522 68328 69642 70616 71344 71974 72716 73584 75117 76048 77168 79443 79716 80262 81249 82256 83104 84972 85554 85848 86814 90792 91104 91728 92053 92538 92856 93002 93492 97776 98784 99134 99216 99813 100156 100594 101283 105924 106288 106848 107016 107961 108332 109074 113296 114072 114464 115752 119574 121056 123384 123578 123808 124656 127458 128772 133084 133666 135044 136656 139284 139503 141232 142688 143948 145432 147168 148701 150234 150891 152096 154336 158886 159432 160524 162498 163611 164512 169944 171108 171696 173628 181584 183456 184106 185076 185367 185712 186004 186984 189581 195552 198268 198432 199626 200312 200499 201188 202566 211848 212576 214032 215922 216664 218148 225351 226592 228144 231504 236327 239148 243747 246768 247156 249312 251909 254916 257544 266168 267332 270088 273312 276159 278568 279006 282464 287896 290864 297402 299439 300468 301782 303849 317772 318864 321048 323883 324996 325507 327222 339888 342216 343392 346969 347256 352079 363168 368212 370152 370734 371424 372008 373968 375293 379162 396536 399252 400624 400998 402376 405132 418509 423696 428064 431844 432523 433328 436296 446103 450702 452673 456288 463008 467831 472654 478296 487494 493536 494312 503818 509832 515088 532336 534664 540176 552318 556101 557136 558012 568743 575792 581728 594804 598878 600936 601497 603564 607698 635544 637728 642096 644371 647766 649992 651014 654444 679776 684432 693938 694512 704158 708981 736424 740304 741468 744016 747936 750586 755727 758324 793072 798504 801248 801996 804752 810264 828477 837018 847392 863688 865046 866656 872592 892206 901404 905346 935662 945308 956592 974988 976521 988624 1007636 1019664 1030176 1040907 1056237 1064672 1069328 1080352 1104636 1112202 1114272 1116024 1125879 1137486 1151584 1189608 1197756 1201872 1202994 1207128 1215396 1271088 1284192 1288742 1295532 1297569 1299984 1302028 1308888 1327067 1368864 1387876 1389024 1403493 1408316 1417962 1472848 1480608 1482936 1488032 1501172 1511454 1516648 1586144 1597008 1603992 1609504 1620528 1656954 1674036 1706229 1727376 1730092 1745184 1763363 1784412 1802808 1810692 1871324 1890616 1913184 1933113 1949976 1953042 1977248 2015272 2039328 2081814 2112474 2126943 2138656 2209272 2224404 2232048 2251758 2267181 2274972 2379216 2395512 2403744 2405988 2414256 2428783 2430792 2464553 2542176 2577484 2591064 2595138 2599968 2604056 2617776 2627051 2654134 2775752 2806986 2816632 2835924 2929563 2945696 2965872 3002344 3022908 3033296 3122721 3168711 3194016 3207984 3241056 3274817 3313908 3348072 3377637 3412458 3454752 3460184 3526726 3568824 3605616 3621384 3742648 3781232 3866226 3892707 3899952 3906084 3981201 4030544 4163628 4210479 4224948 4253886 4418544 4448808 4464096 4503516 4510597 4534362 4549944 4758432 4791024 4811976 4828512 4857566 4861584 4878809 4929106 5154968 5182128 5190276 5208112 5235552 5254102 5290089 5308268 5551504 5613972 5633264 5671848 5799339 5859126 5931744 6004688 6045816 6066592 6245442 6337422 6415968 6549634 6627816 6696144 6755274 6824916 6920368 7053452 7137648 7211232 7242768 7286349 7393659 7485296 7562464 7732452 7785414 7799904 7812168 7881153 7962402 8061088 8327256 8420958 8449896 8507772 8837088 8897616 9007032 9021194 9068724 9099888 9582048 9623952 9715132 9723168 9757618 9824451 9858212 10309936 10364256 10380552 10416224 10508204 10580178 10616536 11103008 11227944 11266528 11343696 11598678 11718252 11943603 12009376 12091632 12490884 12674844 13099268 13255632 13392288 13510548 13531791 13649832 13840736 14106904 14275296 14485536 14572698 14636427 14787318 14970592 15464904 15570828 15624336 15762306 15870267 15924804 16654512 16841916 16899792 17015544 17251871 17795232 18014064 18042388 18137448 18199776 18389357 19247904 19430264 19515236 19648902 19716424 20619872 20761104 21016408 21160356 21233072 21859047 22180977 22455888 22687392 22923719 23197356 23436504 23643459 23887206 24183264 24981768 25349688 26198536 26511264 27021096 27063582 27299664 28213808 29145396 29272854 29473353 29574636 30929808 31141656 31248672 31524612 31574179 31740534 31849608 33309024 33683832 33799584 34031088 34151663 34503742 36028128 36084776 36274896 36778714 38860528 39030472 39297804 39432848 40595373 41522208 42032816 42320712 42466144 43718094 43909281 44361954 44911776 45847438 46394712 46873008 47286918 47774412 49963536 50699376 51755613 52397072 54042192 54127164 54599328 55168071 56427616 58290792 58545708 58946706 59149272 61859616 62283312 63049224 63148358 63481068 63699216 67367664 68062176 68303326 68771157 69007484 72169552 72549792 73557428 77721056 78060944 78595608 78865696 81190746 84065632 84641424 87436188 87818562 88723908 91694876 92789424 93746016 94573836 94722537 95548824 99927072 101398752 102454989 103511226 104794144 108084384 108254328 110336142 116581584 117091416 117893412 118298544 124566624 126098448 126296716 126962136 127398432 128725499 134735328 136606652 137542314 138014968 144339104 147114856 155266839 156121888 157191216 162381492 165504213 169282848 174872376 175637124 177447816 183389752 185578848 189147672 189445074 191097648 204909978 206313471 207022452 216508656 220672284 233163168 234182832 235786824 236597088 239061641 252196896 252593432 253924272 257450998 273213304 275084628 276029936 284167611 294229712 307364967 310533678 314382432 324762984 331008426 349744752 351274248 354895632 366779504 378295344 378890148 382195296 386176497 409819956 412626942 414044904 433017312 441344568 468365664 471573648 478123282 505186864 507848544 514901996 546426608 550169256 552059872 568335222 588459424 614729934 621067356 649525968 662016852 699489504 702548496 709791264 717184923 733559008 756590688 757780296 772352994 819639912 825253884 828089808 882689136 943147296 956246564 1010373728 1029803992 1092853216 1100338512 1136670444 1158529491 1229459868 1242134712 1299051936 1324033704 1405096992 1434369846 1515560592 1544705988 1639279824 1650507768 1656179616 1673431487 1765378272 1912493128 2059607984 2151554769 2200677024 2273340888 2317058982 2458919736 2484269424 2648067408 2868739692 3031121184 3089411976 3278559648 3301015536 3346862974 3824986256 4119215968 4303109538 4546681776 4634117964 4917839472 4968538848 5020294461 5296134816 5737479384 6178823952 6602031072 6693725948 7649972512 8606219076 9093363552 9268235928 9835678944 10040588922 11474958768 12357647904 13387451896 15060883383 17212438152 18536471856 20081177844 22949917536 26774903792 30121766766 34424876304 37072943712 40162355688 53549807584 60243533532 68849752608 80324711376 120487067064 160649422752 240974134128 481948268256
• Sum of all divisors σ(n): 1796070931200
• Sum of proper divisors (its aliquot sum) s(n): 1314122662944
• 481948268256 is an abundant number, because the sum of its proper divisors (1314122662944) is greater than itself. Its abundance is 832174394688

Bases of 481948268256

• Binary: 111000000110110010110101111011011100000₂
• Hexadecimal: 0x70365AF6E0
• Base-36: 65EJJZS0

Squares and roots of 481948268256

• 481948268256 squared (481948268256²) is 232274133274957337281536
• 481948268256 cubed (481948268256³) is 111944116292529034595117181923721216
• The square root of 481948268256 is 694224.9406755709
• The cube root of 481948268256 is 7840.3143326353

Scales and comparisons

• 481,948,268,256 seconds is equal to 15,324 years, 24 weeks, 22 hours, 57 minutes, 36 seconds.
• To count from 1 to 481,948,268,256 would take you about thirty thousand, six hundred forty-eight 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 481948268256 cubic inches would be around 653.4 feet tall.

Recreational maths with 481948268256

• 481948268256 backwards is 652862849184
• 481948268256 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 481948268256's digits is 63
• More coming soon!