46074923713268736

Names of 46074923713268736

• Cardinal: 46074923713268736 can be written as Forty-six quadrillion, seventy-four trillion, nine hundred twenty-three billion, seven hundred thirteen million, two hundred sixty-eight thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 4.6074923713268736 × 10¹⁶

Factors of 46074923713268736

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6076822

Divisors of 46074923713268736

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 41 44 48 52 64 66 78 82 88 96 104 123 128 132 143 156 164 176 192 208 246 256 264 286 312 328 352 384 416 421 429 451 492 512 528 533 572 624 656 704 768 832 842 858 902 984 1024 1056 1066 1144 1248 1263 1312 1353 1408 1536 1599 1664 1684 1716 1804 1968 2112 2132 2288 2496 2526 2624 2706 2816 3072 3198 3328 3368 3432 3608 3936 4224 4264 4576 4631 4992 5052 5248 5412 5473 5632 5863 6396 6656 6736 6864 7216 7872 8448 8528 9152 9262 9984 10104 10496 10824 10946 11264 11726 12792 13312 13472 13728 13893 14432 15744 16419 16896 17056 17261 17589 18304 18524 19968 20208 20992 21648 21892 23452 25584 26944 27456 27786 28864 31488 32838 33792 34112 34522 35178 36608 37048 39936 40416 41984 43296 43784 46904 51168 51783 53888 54912 55572 57728 60203 62976 65676 68224 69044 70356 73216 74096 80832 86592 87568 93808 102336 103566 107776 109824 111144 115456 120406 125952 131352 136448 138088 140712 146432 148192 161664 173184 175136 180609 187616 189871 204672 207132 215552 219648 222288 224393 230912 240812 262704 272896 276176 281424 296384 323328 346368 350272 361218 375232 379742 409344 414264 431104 439296 444576 448786 461824 481624 525408 545792 552352 562848 569613 592768 646656 673179 692736 700544 722436 750464 759484 818688 828528 889152 897572 963248 1050816 1104704 1125696 1139226 1185536 1293312 1346358 1385472 1401088 1444872 1500928 1518968 1637376 1657056 1778304 1795144 1926496 2101632 2209408 2251392 2278452 2371072 2468323 2692716 2802176 2889744 3001856 3037936 3314112 3556608 3590288 3852992 4203264 4418816 4502784 4556904 4742144 4936646 5385432 5604352 5779488 6003712 6075872 6076331 6628224 7113216 7180576 7404969 7705984 8406528 8837632 9005568 9113808 9873292 10770864 11558976 12151744 12152662 13256448 14226432 14361152 14809938 15411968 16813056 17675264 18011136 18227616 18228993 19746584 21541728 23117952 24303488 24305324 26512896 28722304 29619876 30823936 36455232 36457986 39493168 43083456 46235904 48606976 48610648 53025792 57444608 59239752 61647872 66839641 72910464 72915972 78986336 78992303 86166912 92471808 97213952 97221296 114889216 118479504 133679282 145820928 145831944 157972672 157984606 172333824 184943616 194427904 194442592 200518923 229778432 236959008 236976909 249129571 267358564 291641856 291663888 315945344 315969212 344667648 388885184 401037846 473918016 473953818 498259142 534717128 583283712 583327776 631890688 631938424 689335296 747388713 777770368 802075692 868915333 947836032 947907636 996518284 1069434256 1166655552 1263781376 1263876848 1494777426 1555540736 1604151384 1737830666 1895672064 1895815272 1993036568 2138868512 2333311104 2527562752 2527753696 2558135351 2606745999 2740425281 2989554852 3111081472 3208302768 3238684423 3475661332 3791344128 3791630544 3986073136 4277737024 4666622208 5055507392 5116270702 5213491998 5480850562 5979109704 6222162944 6416605536 6477368846 6951322664 7582688256 7583261088 7674406053 7972146272 8221275843 8555474048 9333244416 9716053269 10111014784 10232541404 10426983996 10961701124 11958219408 12833211072 12954737692 13902645328 15166522176 15348812106 15944292544 16442551686 17110948096 18666488832 19432106538 20222029568 20465082808 20853967992 21923402248 23916438816 25666422144 25909475384 27805290656 28139488861 30333044352 30697624212 31888585088 32885103372 33255759563 34221896192 35625528653 38864213076 40444059136 40930165616 41707935984 43846804496 47832877632 51332844288 51818950768 55610581312 56278977722 60666088704 61395248424 63777170176 65770206744 66511519126 68443792384 71251057306 77728426152 80888118272 81860331232 83415871968 84418466583 87693608992 95665755264 99767278689 102665688576 103637901536 104883549391 106876585959 111221162624 112557955444 121332177408 122790496848 127554340352 131540413488 133023038252 142502114612 155456852304 163720662464 166831743936 168836933166 175387217984 191331510528 199534557378 205331377152 207275803072 209767098782 213753171918 222442325248 225115910888 242664354816 245580993696 255108680704 263080826976 266046076504 285004229224 310913704608 314650648173 327441324928 333663487872 337673866332 350774435968 365813355193 382663021056 399069114756 414551606144 419534197564 427506343836 444884650496 450231821776 491161987392 526161653952 532092153008 570008458448 621827409216 629301296346 654882649856 667326975744 675347732664 701548871936 731626710386 765326042112 798138229512 829103212288 839068395128 855012687672 889769300992 900463643552 982323974784 1052323307904 1064184306016 1097440065579 1140016916896 1153719043301 1243654818432 1258602592692 1309765299712 1334653951488 1350695465328 1363486142083 1403097743872 1463253420772 1596276459024 1658206424576 1678136790256 1710025375344 1800927287104 1964647949568 2104646615808 2128368612032 2194880131158 2280033833792 2307438086602 2487309636864 2517205185384 2619530599424 2669307902976 2701390930656 2726972284166 2806195487744 2926506841544 3192552918048 3316412849152 3356273580512 3420050750688 3461157129903 3601854574208 3929295899136 4090458426249 4209293231616 4256737224064 4389760262316 4560067667584 4614876173204 4974619273728 5034410370768 5402781861312 5453944568332 5853013683088 6385105836096 6712547161024 6840101501376 6922314259806 7203709148416 7858591798272 8180916852498 8418586463232 8513474448128 8779520524632 9120135335168 9229752346408 9949238547456 10068820741536 10805563722624 10907889136664 11706027366176 12770211672192 13425094322048 13680203002752 13844628519612 14407418296832 14998347562913 16361833704996 17026948896256 17559041049264 18240270670336 18459504692816 20137641483072 21611127445248 21815778273328 23412054732352 25540423344384 26850188644096 27360406005504 27689257039224 28814836593664 29996695125826 32723667409992 34053897792512 35118082098528 36480541340672 36919009385632 40275282966144 43222254890496 43631556546656 44995042688739 46824109464704 51080846688768 53700377288192 54720812011008 55378514078448 59993390251652 65447334819984 70236164197056 73838018771264 80550565932288 86444509780992 87263113093312 89990085377478 93648218929408 102161693377536 107400754576384 109441624022016 110757028156896 119986780503304 130894669639968 140472328394112 147676037542528 161101131864576 174526226186624 179980170754956 187296437858816 221514056313792 239973561006608 261789339279936 280944656788224 295352075085056 322202263729152 349052452373248 359960341509912 374592875717632 443028112627584 479947122013216 523578678559872 561889313576448 590704150170112 698104904746496 719920683019824 886056225255168 959894244026432 1047157357119744 1123778627152896 1181408300340224 1396209809492992 1439841366039648 1772112450510336 1919788488052864 2094314714239488 2879682732079296 3544224901020672 3839576976105728 4188629428478976 5759365464158592 7679153952211456 11518730928317184 15358307904422912 23037461856634368 46074923713268736
• Sum of all divisors σ(n): 148146144000486912
• Sum of proper divisors (its aliquot sum) s(n): 102071220287218176
• 46074923713268736 is an abundant number, because the sum of its proper divisors (102071220287218176) is greater than itself. Its abundance is 55996296573949440

Bases of 46074923713268736

• Binary: 10100011101100001110011000100100111110111000110000000000₂
• Hexadecimal: 0xA3B0E624FB8C00
• Base-36: CLO73QVLPMO

Squares and roots of 46074923713268736

• 46074923713268736 squared (46074923713268736²) is 2122898595183533687766945755037696
• 46074923713268736 cubed (46074923713268736³) is 97812390824086683174502829095486766573711058272256
• The square root of 46074923713268736 is 214650701.6370287479
• The cube root of 46074923713268736 is 358499.2143710653

Scales and comparisons

• 46,074,923,713,268,736 seconds is equal to 1,465,040,054 years, 51 weeks, 1 day, 16 hours, 25 minutes, 36 seconds.
• To count from 1 to 46,074,923,713,268,736 would take you about four billion, three hundred ninety-five million, one hundred twenty thousand, one hundred sixty-four 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 46074923713268736 cubic inches would be around 29874.9 feet tall.

Recreational maths with 46074923713268736

• 46074923713268736 backwards is 63786231732947064
• 46074923713268736 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46074923713268736's digits is 78
• More coming soon!