46974401878578048

Names of 46974401878578048

• Cardinal: 46974401878578048 can be written as Forty-six quadrillion, nine hundred seventy-four trillion, four hundred one billion, eight hundred seventy-eight million, five hundred seventy-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 4.6974401878578048 × 10¹⁶

Factors of 46974401878578048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 978

Divisors of 46974401878578048

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 112 114 126 128 133 144 152 168 171 192 224 228 252 266 288 304 336 342 361 384 399 448 456 504 532 576 608 672 684 722 798 896 912 947 1008 1064 1083 1152 1197 1216 1344 1368 1444 1596 1824 1894 2016 2128 2166 2394 2432 2527 2688 2736 2841 2888 3192 3249 3648 3788 4032 4256 4332 4788 5054 5472 5682 5776 6384 6498 6629 6859 7296 7576 7581 8064 8512 8523 8664 9576 10108 10944 11364 11552 12768 12996 13258 13718 15152 15162 17024 17046 17328 17993 19152 19887 20216 20577 21888 22728 22743 23104 25536 25992 26516 27436 30304 30324 34092 34656 35986 38304 39774 40432 41154 45456 45486 46208 48013 51072 51984 53032 53979 54872 59661 60608 60648 61731 68184 69312 71972 76608 79548 80864 82308 90912 90972 96026 103968 106064 107958 109744 119322 121216 121296 123462 125951 136368 138624 143944 144039 153216 159096 161728 161937 164616 181824 181944 192052 207936 212128 215916 219488 238644 242592 246924 251902 272736 287888 288078 318192 323456 323874 329232 341867 363648 363888 377853 384104 415872 424256 431832 432117 438976 477288 485184 493848 503804 545472 575776 576156 636384 647748 658464 683734 727776 755706 768208 848512 863664 864234 877952 896809 954576 970368 987696 1007608 1025601 1090944 1133559 1151552 1152312 1272768 1295496 1316928 1367468 1455552 1511412 1536416 1727328 1728468 1793618 1909152 1975392 2015216 2051202 2267118 2303104 2304624 2393069 2545536 2590992 2633856 2690427 2734936 2911104 3022824 3072832 3076803 3454656 3456936 3587236 3818304 3950784 4030432 4102404 4534236 4609248 4786138 5181984 5380854 5469872 6045648 6145664 6153606 6277663 6495473 6909312 6913872 7174472 7179207 7636608 7901568 8060864 8071281 8204808 9068472 9218496 9572276 10363968 10761708 10939744 12091296 12307212 12555326 12990946 13827744 14348944 14358414 16121728 16142562 16409616 17039371 18136944 18436992 18832989 19144552 19486419 20727936 21523416 21537621 21879488 24182592 24614424 25110652 25981892 27655488 28697888 28716828 32285124 32819232 34078742 36273888 37665978 38289104 38972838 43046832 43075242 43758976 45468311 48365184 49228848 50221304 51118113 51963784 55310976 56498967 57395776 57433656 58459257 64570248 65638464 68157484 72547776 75331956 76578208 77945676 86093664 86150484 90936622 98457696 100442608 102236226 103927568 112997934 114791552 114867312 116918514 119275597 129140496 131276928 136314968 136404933 145095552 150663912 153156416 153354339 155891352 172187328 172300968 181873244 196915392 200885216 204472452 207855136 225995868 229734624 233837028 238551194 258280992 272629936 272809866 301327824 306312832 306708678 311782704 323748049 344374656 344601936 357826791 363746488 393830784 401770432 408944904 409214799 415710272 451991736 459469248 467674056 477102388 516561984 545259872 545619732 602655648 613417356 623565408 647496098 689203872 715653582 727492976 803540864 817889808 818429598 831420544 849278123 903983472 918938496 935348112 954204776 971244147 1033123968 1073480373 1090519744 1091239464 1205311296 1226834712 1247130816 1294992196 1378407744 1431307164 1454985952 1635779616 1636859196 1698556246 1807966944 1870696224 1908409552 1942488294 2146960746 2181039488 2182478928 2266236343 2410622592 2453669424 2494261632 2547834369 2589984392 2756815488 2862614328 2909971904 2913732441 3271559232 3273718392 3397112492 3615933888 3741392448 3816819104 3884976588 4293921492 4364957856 4532472686 4907338848 5095668738 5179968784 5725228656 5819943808 5827464882 5944946861 6151212931 6543118464 6547436784 6794224984 6798709029 7231867776 7482784896 7633638208 7643503107 7769953176 8587842984 8729915712 9064945372 9814677696 10191337476 10359937568 11450457312 11654929764 11889893722 12302425862 13094873568 13588449968 13597418058 15267276416 15287006214 15539906352 16136284337 17175685968 17459831424 17834840583 18129890744 18453638793 19629355392 20382674952 20396127087 20719875136 22900914624 23309859528 23779787444 24604851724 26189747136 27176899936 27194836116 30574012428 31079812704 32272568674 34351371936 35669681166 36259781488 36907277586 40765349904 40792254174 41439750272 43058490517 45801829248 46619719056 47559574888 48408853011 49209703448 52379494272 53504521749 54353799872 54389672232 55360916379 61148024856 62159625408 64545137348 68702743872 71339362332 72519562976 73814555172 81530699808 81584508348 86116981034 93239438112 95119149776 96817706022 98419406896 107009043498 108707599744 108779344464 110721832758 112953990359 122296049712 124319250816 129090274696 129175471551 137405487744 142678724664 145039125952 145226559033 147629110344 163061399616 163169016696 172233962068 186478876224 190238299552 193635412044 196838813792 214018086996 217558688928 221443665516 225907980718 244592099424 258180549392 258350943102 285357449328 290078251904 290453118066 295258220688 306589402403 326122799232 326338033392 338861971077 344467924136 372957752448 380476599104 387270824088 387526414653 393677627584 428036173992 435117377856 442887331032 451815961436 489184198848 516361098784 516701886204 570714898656 580906236132 590516441376 613178804806 652676066784 677723942154 688935848272 760953198208 774541648176 775052829306 787355255168 856072347984 870234755712 885774662064 903631922872 919768207209 978368397696 1016585913231 1032722197568 1033403772408 1141429797312 1161812472264 1181032882752 1226357609612 1305352133568 1355447884308 1377871696544 1549083296352 1550105658612 1712144695968 1771549324128 1807263845744 1839536414418 2033171826462 2065444395136 2066807544816 2146125816821 2282859594624 2323624944528 2362065765504 2452715219224 2610704267136 2710895768616 2755743393088 2759304621627 3098166592704 3100211317224 3424289391936 3543098648256 3614527691488 3679072828836 4066343652924 4133615089632 4292251633642 4647249889056 4905430438448 5421791537232 5511486786176 5518609243254 5825198645657 6196333185408 6200422634448 6438377450463 6848578783872 7086197296512 7229055382976 7358145657672 8132687305848 8267230179264 8584503267284 9294499778112 9810860876896 10843583074464 11037218486508 11650397291314 12400845268896 12876754900926 14458110765952 14716291315344 16265374611696 16534460358528 17169006534568 17475595936971 18588999556224 19315132351389 19621721753792 21687166148928 22074436973016 23300794582628 24801690537792 25753509801852 29432582630688 32530749223392 34338013069136 34951191873942 38630264702778 39243443507584 40776390519599 43374332297856 44148873946032 46601589165256 49603381075584 51507019603704 52426787810913 58865165261376 65061498446784 68676026138272 69902383747884 77260529405556 81552781039198 88297747892064 93203178330512 103014039207408 104853575621826 117730330522752 122329171558797 130122996893568 137352052276544 139804767495768 154521058811112 163105562078396 176595495784128 186406356661024 206028078414816 209707151243652 244658343117594 274704104553088 279609534991536 309042117622224 326211124156792 353190991568256 366987514676391 372812713322048 412056156829632 419414302487304 489316686235188 559219069983072 618084235244448 652422248313584 733975029352782 745625426644096 824112313659264 838828604974608 978633372470376 1118438139966144 1236168470488896 1304844496627168 1467950058705564 1677657209949216 1957266744940752 2236876279932288 2472336940977792 2609688993254336 2935900117411128 3355314419898432 3914533489881504 5219377986508672 5871800234822256 6710628839796864 7829066979763008 11743600469644512 15658133959526016 23487200939289024 46974401878578048
• Sum of all divisors σ(n): 163237849804224000
• Sum of proper divisors (its aliquot sum) s(n): 116263447925645952
• 46974401878578048 is an abundant number, because the sum of its proper divisors (116263447925645952) is greater than itself. Its abundance is 69289046047067904

Bases of 46974401878578048

• Binary: 10100110111000101111100000111001100000100101001110000000₂
• Hexadecimal: 0xA6E2F839825380
• Base-36: CUJ1AB7E1S0

Squares and roots of 46974401878578048

• 46974401878578048 squared (46974401878578048²) is 2206594431850156844997882427490304
• 46974401878578048 cubed (46974401878578048³) is 103653453624761868212405202671861070985836827246592
• The square root of 46974401878578048 is 216735788.1813200873
• The cube root of 46974401878578048 is 360817.0789752709

Scales and comparisons

• 46,974,401,878,578,048 seconds is equal to 1,493,640,678 years, 19 weeks, 2 days, 23 hours, 40 minutes, 48 seconds.
• To count from 1 to 46,974,401,878,578,048 would take you about four billion, four hundred eighty million, nine hundred twenty-two thousand and thirty-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 46974401878578048 cubic inches would be around 30068.1 feet tall.

Recreational maths with 46974401878578048

• 46974401878578048 backwards is 84087587810447964
• The number of decimal digits it has is: 17
• The sum of 46974401878578048's digits is 90
• More coming soon!