12007769909420800

Names of 12007769909420800

• Cardinal: 12007769909420800 can be written as Twelve quadrillion, seven trillion, seven hundred sixty-nine billion, nine hundred nine million, four hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.20077699094208 × 10¹⁶

Factors of 12007769909420800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 26149

Divisors of 12007769909420800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 128 160 178 200 256 320 356 400 445 547 640 712 800 890 1094 1280 1424 1600 1613 1780 2188 2225 2735 2848 3200 3226 3560 4376 4450 5470 5696 6400 6452 7120 8065 8752 8900 10940 11392 12904 13675 14240 16130 17504 17800 21880 22784 23893 25808 27350 28480 32260 35008 35600 40325 43760 47786 48683 51616 54700 56960 64520 70016 71200 80650 87520 95572 97366 103232 109400 113920 119465 129040 140032 142400 143557 161300 175040 191144 194732 206464 218800 238930 243415 258080 284800 287114 322600 350080 382288 389464 412928 437600 477860 486830 516160 569600 574228 597325 645200 700160 717785 764576 778928 875200 882311 955720 973660 1032320 1148456 1194650 1217075 1290400 1435570 1529152 1557856 1750400 1764622 1911440 1947320 2064640 2126477 2296912 2389300 2434150 2580800 2871140 3058304 3115712 3500800 3529244 3588925 3822880 3894640 4252954 4411555 4593824 4778600 4868300 5161600 5742280 6116608 6231424 7058488 7177850 7645760 7789280 8505908 8823110 9187648 9557200 9736600 10323200 10632385 11484560 12462848 13069471 14116976 14355700 15291520 15578560 17011816 17646220 18375296 19114400 19473200 21264770 22057775 22969120 26138942 28233952 28711400 30583040 31157120 34023632 35292440 36750592 38228800 38539409 38946400 42529540 44115550 45938240 52277884 53161925 56467904 57422800 62314240 65347355 68047264 70584880 76457600 77078818 77892800 78525679 85059080 88231100 91876480 104555768 106323850 112935808 114845600 130694710 136094528 141169760 152915200 154157636 155785600 157051358 170118160 176462200 183752960 192697045 209111536 212647700 225871616 229691200 261389420 272189056 282339520 308315272 311571200 314102716 326736775 340236320 352924400 385394090 392628395 418223072 425295400 459382400 522778840 544378112 564679040 616630544 628205432 653473550 680472640 705848800 770788180 785256790 836446144 850590800 918764800 963485225 1045557680 1129358080 1163182919 1233261088 1256410864 1306947100 1360945280 1411697600 1541576360 1570513580 1672892288 1701181600 1926970450 1963141975 2091115360 2326365838 2466522176 2512821728 2613894200 2721890560 2823395200 3083152720 3141027160 3345784576 3402363200 3430007401 3853940900 3926283950 4182230720 4652731676 4933044352 5025643456 5227788400 5646790400 5815914595 6166305440 6282054320 6804726400 6860014802 7707881800 7852567900 8364461440 9305463352 9866088704 10051286912 10455576800 11631829190 12332610880 12564108640 13609452800 13720029604 15415763600 15705135800 16728922880 17150037005 18610926704 20102573824 20911153600 21081056723 23263658380 24665221760 25128217280 27440059208 29079572975 30831527200 31410271600 34300074010 37221853408 41822307200 42162113446 46527316760 49330443520 50256434560 54880118416 58159145950 61663054400 62820543200 68600148020 74443706816 83644614400 84324226892 85750185025 93054633520 100512869120 105405283615 109760236832 116318291900 123326108800 125641086400 137200296040 148887413632 168648453784 171500370050 186109267040 210810567230 219520473664 232636583800 246652217600 251282172800 274400592080 297774827264 337296907568 343000740100 372218534080 421621134460 439040947328 465273167600 502564345600 527026418075 548801184160 674593815136 686001480200 744437068160 843242268920 878081894656 930546335200 1054052836150 1097602368320 1349187630272 1372002960400 1488874136320 1686484537840 1861092670400 1876214048347 2108105672300 2195204736640 2698375260544 2744005920800 3372969075680 3722185340800 3752428096694 4216211344600 4390409473280 5396750521088 5488011841600 6745938151360 7444370681600 7504856193388 8432422689200 9381070241735 10976023683200 13491876302720 15009712386776 16864845378400 18762140483470 21952047366400 26983752605440 30019424773552 33729690756800 37524280966940 46905351208675 60038849547104 67459381513600 75048561933880 93810702417350 120077699094208 134918763027200 150097123867760 187621404834700 240155398188416 300194247735520 375242809669400 480310796376832 600388495471040 750485619338800 1200776990942080 1500971238677600 2401553981884160 3001942477355200 6003884954710400 12007769909420800
• Sum of all divisors σ(n): 30129925070437920
• Sum of proper divisors (its aliquot sum) s(n): 18122155161017120
• 12007769909420800 is an abundant number, because the sum of its proper divisors (18122155161017120) is greater than itself. Its abundance is 6114385251596320

Bases of 12007769909420800

• Binary: 101010101010010000000011001011111111101110001100000000₂
• Hexadecimal: 0x2AA900CBFEE300
• Base-36: 3A8EDCCMY9S

Squares and roots of 12007769909420800

• 12007769909420800 squared (12007769909420800²) is 144186538197591607436591472640000
• 12007769909420800 cubed (12007769909420800³) is 1731358774712593295321590259101906481446912000000
• The square root of 12007769909420800 is 109579970.3842851017
• The cube root of 12007769909420800 is 228992.2507717661

Scales and comparisons

• 12,007,769,909,420,800 seconds is equal to 381,809,940 years, 33 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 12,007,769,909,420,800 would take you about one billion, one hundred forty-five million, four hundred twenty-nine thousand, eight hundred twenty-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 12007769909420800 cubic inches would be around 19082.7 feet tall.

Recreational maths with 12007769909420800

• 12007769909420800 backwards is 00802490996770021
• 12007769909420800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12007769909420800's digits is 64
• More coming soon!