45746690595872000

Names of 45746690595872000

• Cardinal: 45746690595872000 can be written as Forty-five quadrillion, seven hundred forty-six trillion, six hundred ninety billion, five hundred ninety-five million, eight hundred seventy-two thousand.

Scientific notation

• Scientific notation: 4.5746690595872 × 10¹⁶

Factors of 45746690595872000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 399660160

Divisors of 45746690595872000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 73 80 98 100 112 125 128 140 146 160 175 196 200 224 245 250 256 280 292 320 350 365 392 400 448 490 500 511 560 584 640 700 730 784 800 875 896 980 1000 1022 1120 1168 1225 1280 1400 1460 1568 1600 1750 1792 1825 1960 2000 2044 2240 2336 2450 2555 2800 2920 3136 3200 3500 3577 3650 3920 4000 4088 4480 4672 4900 5110 5600 5840 6125 6272 6400 7000 7154 7300 7840 8000 8176 8960 9125 9344 9800 10220 11200 11680 12250 12544 12775 14000 14308 14600 15680 16000 16352 17885 18250 18688 19600 20440 22400 23360 24500 25550 28000 28616 29200 31360 32000 32704 35770 36500 39200 40880 44800 46720 49000 51100 56000 57232 58400 62720 63875 65408 71540 73000 78400 81760 89425 93440 98000 102200 112000 114464 116800 127750 130816 143080 146000 156800 163520 178850 196000 204400 224000 228928 233600 255500 286160 292000 313600 327040 357700 392000 408800 447125 457856 467200 511000 572320 584000 654080 715400 784000 817600 894250 915712 1022000 1144640 1168000 1430800 1568000 1635200 1788500 2044000 2289280 2336000 2861600 3270400 3577000 4088000 4578560 5723200 7154000 8176000 11446400 14308000 16352000 22892800 28616000 57232000 114464000 399660073 799320146 1598640292 1998300365 2797620511 3197280584 3996600730 5595241022 6394561168 7993201460 9991501825 11190482044 12789122336 13988102555 15986402920 19583343577 19983003650 22380964088 25578244672 27976205110 29175185329 31972805840 39166687154 39966007300 44761928176 49957509125 51156489344 55952410220 58350370658 63945611680 69940512775 78333374308 79932014600 89523856352 97916717885 99915018250 102312978688 111904820440 116700741316 127891223360 139881025550 145875926645 156666748616 159864029200 179047712704 195833435770 199830036500 204226297303 223809640880 233401482632 255782446720 279762051100 291751853290 313333497232 319728058400 349702563875 358095425408 391666871540 399660073000 408452594606 447619281760 466802965264 489583589425 511564893440 559524102200 583503706580 626666994464 639456116800 699405127750 716190850816 729379633225 783333743080 799320146000 816905189212 895238563520 933605930528 979167178850 1021131486515 1119048204400 1167007413160 1253333988928 1278912233600 1398810255500 1429584081121 1458759266450 1566667486160 1598640292000 1633810378424 1790477127040 1867211861056 1958334357700 2042262973030 2238096408800 2334014826320 2447917947125 2506667977856 2557824467200 2797620511000 2859168162242 2917518532900 3133334972320 3197280584000 3267620756848 3580954254080 3646898166125 3734423722112 3916668715400 4084525946060 4476192817600 4668029652640 4895835894250 5013335955712 5105657432575 5595241022000 5718336324484 5835037065800 6266669944640 6394561168000 6535241513696 7147920405605 7293796332250 7468847444224 7833337430800 8169051892120 8952385635200 9336059305280 9791671788500 10211314865150 11190482044000 11436672648968 11670074131600 12533339889280 12789122336000 13070483027392 14295840811210 14587592664500 15666674861600 16338103784240 17904771270400 18672118610560 19583343577000 20422629730300 22380964088000 22873345297936 23340148263200 25066679778560 25528287162875 26140966054784 28591681622420 29175185329000 31333349723200 32676207568480 35739602028025 37344237221120 39166687154000 40845259460600 44761928176000 45746690595872 46680296526400 51056574325750 52281932109568 57183363244840 58350370658000 62666699446400 65352415136960 71479204056050 78333374308000 81690518921200 89523856352000 91493381191744 93360593052800 102113148651500 114366726489680 116700741316000 125333398892800 130704830273920 142958408112100 156666748616000 163381037842400 178698010140125 182986762383488 186721186105600 204226297303000 228733452979360 233401482632000 261409660547840 285916816224200 313333497232000 326762075684800 357396020280250 365973524766976 408452594606000 457466905958720 466802965264000 571833632448400 626666994464000 653524151369600 714792040560500 816905189212000 914933811917440 933605930528000 1143667264896800 1307048302739200 1429584081121000 1633810378424000 1829867623834880 2287334529793600 2859168162242000 3267620756848000 4574669059587200 5718336324484000 6535241513696000 9149338119174400 11436672648968000 22873345297936000 45746690595872000
• Sum of all divisors σ(n): 134382537771994512
• Sum of proper divisors (its aliquot sum) s(n): 88635847176122512
• 45746690595872000 is an abundant number, because the sum of its proper divisors (88635847176122512) is greater than itself. Its abundance is 42889156580250512

Bases of 45746690595872000

• Binary: 10100010100001100101111101101010100111011101110100000000₂
• Hexadecimal: 0xA2865F6A9DDD00
• Base-36: CIFUJJ88E0W

Squares and roots of 45746690595872000

• 45746690595872000 squared (45746690595872000²) is 2092759700474443682423440384000000
• 45746690595872000 cubed (45746690595872000³) is 95736830509114136303391281913349228494848000000000
• The square root of 45746690595872000 is 213884760.0832560487
• The cube root of 45746690595872000 is 357645.8806949451

Scales and comparisons

• 45,746,690,595,872,000 seconds is equal to 1,454,603,257 years, 7 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 45,746,690,595,872,000 would take you about four billion, three hundred sixty-three million, eight hundred nine thousand, seven hundred seventy-one 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 45746690595872000 cubic inches would be around 29803.8 feet tall.

Recreational maths with 45746690595872000

• 45746690595872000 backwards is 00027859509664754
• The number of decimal digits it has is: 17
• The sum of 45746690595872000's digits is 77
• More coming soon!