45742712978780480

Names of 45742712978780480

• Cardinal: 45742712978780480 can be written as Forty-five quadrillion, seven hundred forty-two trillion, seven hundred twelve billion, nine hundred seventy-eight million, seven hundred eighty thousand, four hundred eighty.

Scientific notation

• Scientific notation: 4.574271297878048 × 10¹⁶

Factors of 45742712978780480

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 658

Divisors of 45742712978780480

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 130 148 160 185 208 260 296 320 370 416 481 520 592 601 740 832 962 1040 1184 1202 1369 1480 1924 2080 2368 2404 2405 2738 2960 3005 3848 4160 4808 4810 5476 5920 6010 6845 7696 7813 9616 9620 10952 11840 12020 13690 15392 15626 17797 19232 19240 21904 22237 24040 27380 30784 31252 35594 38464 38480 39065 43808 44474 48080 50653 54760 62504 71188 76960 78130 87616 88948 88985 96160 101306 109520 111185 125008 142376 153920 156260 177896 177970 192320 202612 219040 222370 250016 253265 284752 289081 312520 355792 355940 361201 405224 438080 444740 500032 506530 569504 578162 625040 658489 711584 711880 722402 810448 822769 889480 1013060 1139008 1156324 1250080 1316978 1423168 1423760 1444804 1445405 1620896 1645538 1778960 1806005 2026120 2312648 2500160 2633956 2847520 2889608 2890810 3241792 3291076 3292445 3557920 3612010 4052240 4113845 4625296 4695613 5267912 5695040 5779216 5781620 6582152 6584890 7115840 7224020 8104480 8227690 9250592 9391226 10535824 10695997 11558432 11563240 13164304 13169780 13364437 14448040 16208960 16455380 18501184 18782452 21071648 21391994 23116864 23126480 23478065 26328608 26339560 26728874 28896080 30442453 32910760 37564904 42143296 42783988 46252960 46956130 52657216 52679120 53457748 53479985 57792160 60884906 65821520 66822185 75129808 85567976 92505920 93912260 105358240 106915496 106959970 115584320 121769812 131643040 133644370 150259616 152212265 171135952 173737681 187824520 210716480 213830992 213919940 217081801 243539624 263286080 267288740 300519232 304424530 342271904 347475362 375649040 395751889 427661984 427839880 434163602 487079248 494484169 534577480 608849060 684543808 694950724 751298080 791503778 855323968 855679760 868327204 868688405 974158496 988968338 1069154960 1085409005 1217698120 1389901448 1502596160 1583007556 1711359520 1736654408 1737376810 1948316992 1977936676 1978759445 2138309920 2170818010 2435396240 2472420845 2779802896 2822063413 3166015112 3422719040 3473308816 3474753620 3955873352 3957518890 4276619840 4341636020 4870792480 4944841690 5559605792 5644126826 6332030224 6428294197 6946617632 6949507240 7911746704 7915037780 8032026637 8683272040 9741584960 9889683380 11119211584 11288253652 12664060448 12856588394 13893235264 13899014480 14110317065 15823493408 15830075560 16064053274 17366544080 18295914253 19779366760 22576507304 25328120896 25713176788 27798028960 28220634130 31646986816 31660151120 32128106548 32141470985 34733088160 36591828506 39558733520 40160133185 45153014608 51426353576 55596057920 56441268260 63320302240 64256213096 64282941970 69466176320 73183657012 79117467040 80320266370 90306029216 91479571265 102852707152 104416346281 112882536520 126640604480 128512426192 128565883940 146367314024 158234934080 160640532740 180612058432 182959142530 205705414304 208832692562 225765073040 237846885289 257024852384 257131767880 292734628048 297184985569 321281065480 365918285060 411410828608 417665385124 451530146080 475693770578 514049704768 514263535760 522081731405 585469256096 594369971138 642562130960 731836570120 835330770248 903060292160 951387541156 1028527071520 1044163462810 1170938512192 1188739942276 1189234426445 1285124261920 1463673140240 1485924927845 1670661540496 1902775082312 2057054143040 2088326925620 2377479884552 2378468852890 2570248523840 2927346280480 2971849855690 3341323080992 3805550164624 3863404812397 4176653851240 4754959769104 4756937705780 5854692560960 5943699711380 6682646161984 7611100329248 7726809624794 8353307702480 9509919538208 9513875411560 10995844466053 11887399422760 15222200658496 15453619249588 16706615404960 19019839076416 19027750823120 19317024061985 21991688932106 23774798845520 30907238499176 33413230809920 38055501646240 38634048123970 43983377864212 47549597691040 54979222330265 61814476998352 76111003292480 77268096247940 87966755728424 95099195382080 109958444660530 123628953996704 142945978058689 154536192495880 175933511456848 219916889321060 247257907993408 285891956117378 309072384991760 351867022913696 439833778642120 571783912234756 618144769983520 703734045827392 714729890293445 879667557284240 1143567824469512 1236289539967040 1429459780586890 1759335114568480 2287135648939024 2858919561173780 3518670229136960 4574271297878048 5717839122347560 9148542595756096 11435678244695120 22871356489390240 45742712978780480
• Sum of all divisors σ(n): 120762976410592320
• Sum of proper divisors (its aliquot sum) s(n): 75020263431811840
• 45742712978780480 is an abundant number, because the sum of its proper divisors (75020263431811840) is greater than itself. Its abundance is 29277550453031360

Bases of 45742712978780480

• Binary: 10100010100000101100000101001110001010011011000101000000₂
• Hexadecimal: 0xA282C14E29B140
• Base-36: CIEFS8PPRNK

Squares and roots of 45742712978780480

• 45742712978780480 squared (45742712978780480²) is 2092395790659092173734748029030400
• 45742712978780480 cubed (45742712978780480³) is 95711860090127299815888297656845294978228846592000
• The square root of 45742712978780480 is 213875461.3759616885
• The cube root of 45742712978780480 is 357635.5147749795

Scales and comparisons

• 45,742,712,978,780,480 seconds is equal to 1,454,476,781 years, 11 weeks, 4 days, 12 hours, 21 minutes, 20 seconds.
• To count from 1 to 45,742,712,978,780,480 would take you about four billion, three hundred sixty-three million, four hundred thirty thousand, three hundred forty-three 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 45742712978780480 cubic inches would be around 29803 feet tall.

Recreational maths with 45742712978780480

• 45742712978780480 backwards is 08408787921724754
• The number of decimal digits it has is: 17
• The sum of 45742712978780480's digits is 83
• More coming soon!