12971128608375000

Names of 12971128608375000

• Cardinal: 12971128608375000 can be written as Twelve quadrillion, nine hundred seventy-one trillion, one hundred twenty-eight billion, six hundred eight million, three hundred seventy-five thousand.

Scientific notation

• Scientific notation: 1.2971128608375 × 10¹⁶

Factors of 12971128608375000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 180

Divisors of 12971128608375000

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 125 140 147 150 163 168 175 196 200 210 245 250 280 294 300 326 350 375 392 420 489 490 500 525 588 600 625 652 700 735 750 815 840 875 978 980 1000 1050 1141 1176 1225 1250 1304 1400 1470 1500 1630 1750 1875 1956 1960 2100 2282 2445 2450 2500 2625 2940 3000 3125 3260 3423 3500 3675 3750 3912 4075 4200 4375 4564 4890 4900 5000 5250 5705 5880 6125 6250 6520 6846 7000 7350 7500 7987 8150 8750 9128 9375 9780 9800 10500 11410 12225 12250 12500 13125 13692 14700 15000 15625 15974 16300 17115 17500 18375 18750 19560 20375 21000 21875 22820 23961 24450 24500 25000 26250 26569 27384 28525 29400 30625 31250 31948 32600 34230 35000 36750 37500 39935 40750 43750 45640 46875 47922 48900 49000 52500 53138 57050 61125 61250 62500 63896 65625 68460 73500 75000 79707 79870 81500 85575 87500 91875 93750 95844 97800 101875 105000 106276 109375 114100 119805 122250 122500 125000 131250 132845 136920 142625 147000 153125 159414 159740 163000 171150 175000 183750 185983 187500 191688 199675 203750 212552 218750 228200 239610 244500 245000 262500 265690 285250 305625 306250 318828 319480 328125 342300 367500 371966 375000 398535 399350 407500 427875 437500 459375 479220 489000 509375 525000 531380 557949 570500 599025 611250 612500 637656 656250 664225 684600 713125 735000 743932 765625 797070 798700 815000 855750 875000 918750 929915 958440 998375 1018750 1062760 1115898 1141000 1198050 1222500 1225000 1301881 1312500 1328450 1426250 1487864 1528125 1531250 1594140 1597400 1711500 1837500 1859830 1992675 1996750 2037500 2139375 2231796 2296875 2396100 2445000 2546875 2603762 2625000 2656900 2789745 2852500 2995125 3056250 3062500 3188280 3321125 3423000 3565625 3675000 3719660 3905643 3985350 3993500 4075000 4278750 4330747 4463592 4593750 4649575 4792200 4991875 5093750 5207524 5313800 5579490 5705000 5990250 6112500 6125000 6509405 6642250 7131250 7439320 7640625 7811286 7970700 7987000 8557500 8661494 9187500 9299150 9963375 9983750 10187500 10415048 10696875 11158980 11980500 12225000 12992241 13018810 13284500 13948725 14262500 14975625 15281250 15622572 15941400 16605625 17115000 17322988 17828125 18375000 18598300 19528215 19926750 19967500 20375000 21393750 21653735 22317960 23247875 23961000 24959375 25984482 26037620 26569000 27897450 28525000 29951250 30315229 30562500 31245144 32547025 33211250 34645976 35656250 37196600 39056430 39853500 39935000 42787500 43307470 46495750 49816875 49918750 51968964 52075240 53484375 55794900 59902500 60630458 61125000 64961205 65094050 66422500 69743625 71312500 74878125 78112860 79707000 83028125 85575000 86614940 90945687 92991500 97641075 99633750 99837500 103937928 106968750 108268675 111589800 116239375 119805000 121260916 124796875 129922410 130188100 132845000 139487250 142625000 149756250 151576145 156225720 162735125 166056250 173229880 181891374 185983000 195282150 199267500 199675000 212206603 213937500 216537350 232478750 242521832 249084375 249593750 259844820 260376200 278974500 299512500 303152290 324806025 325470250 332112500 348718125 363782748 374390625 390564300 398535000 415140625 424413206 427875000 433074700 454728435 464957500 488205375 498168750 499187500 519689640 541343375 557949000 581196875 599025000 606304580 636619809 649612050 650940500 664225000 697436250 705911761 727565496 748781250 757880725 781128600 813675625 830281250 848826412 866149400 909456870 929915000 976410750 996337500 998375000 1061033015 1082686750 1162393750 1212609160 1245421875 1273239618 1299224100 1301881000 1394872500 1411823522 1497562500 1515761450 1624030125 1627351250 1660562500 1697652824 1743590625 1818913740 1952821500 1992675000 2117735283 2122066030 2165373500 2273642175 2324787500 2441026875 2490843750 2546479236 2598448200 2706716875 2789745000 2823647044 2905984375 2995125000 3031522900 3183099045 3248060250 3254702500 3321125000 3487181250 3529558805 3637827480 3789403625 3905643000 4068378125 4235470566 4244132060 4330747000 4547284350 4649575000 4882053750 4941382327 4981687500 5092958472 5305165075 5413433750 5647294088 5811968750 6063045800 6366198090 6496120500 6509405000 6974362500 7059117610 7578807250 8120150625 8136756250 8470941132 8488264120 8717953125 9094568700 9764107500 9882764654 9963375000 10588676415 10610330150 10826867500 11368210875 11623937500 12205134375 12732396180 12992241000 13533584375 13948725000 14118235220 14824146981 15157614500 15915495225 16240301250 16273512500 16941882264 17435906250 17647794025 18189137400 18947018125 19528215000 19765529308 20341890625 21177352830 21220660300 21653735000 22736421750 23247875000 24410268750 24706911635 25464792360 26525825375 27067168750 28236470440 29648293962 30315229000 31830990450 32480602500 32547025000 34589676289 34871812500 35295588050 37894036250 39531058616 40600753125 40683781250 42354705660 42441320600 45472843500 48820537500 49413823270 52943382075 53051650750 54134337500 56841054375 59296587924 61025671875 63661980900 64961205000 67667921875 69179352578 69743625000 70591176100 74120734905 75788072500 79577476125 81201506250 81367562500 84709411320 88238970125 90945687000 94735090625 97641075000 98827646540 103769028867 105886764150 106103301500 108268675000 113682108750 118593175848 122051343750 123534558175 127323961800 132629126875 135335843750 138358705156 141182352200 148241469810 151576145000 159154952250 162403012500 162735125000 172948381445 176477940250 189470181250 197655293080 203003765625 207538057734 211773528300 212206603000 227364217500 244102687500 247069116350 264716910375 265258253750 270671687500 276717410312 284205271875 296482939620 318309904500 324806025000 345896762890 352955880500 370603674525 378940362500 397887380625 406007531250 415076115468 423547056600 441194850625 454728435000 473675453125 488205375000 494138232700 518845144335 529433820750 530516507500 541343375000 568410543750 592965879240 617672790875 636619809000 663145634375 691793525780 705911761000 741207349050 757880725000 795774761250 812015062500 830152230936 864741907225 882389701250 947350906250 988276465400 1037690288670 1058867641500 1061033015000 1136821087500 1235345581750 1323584551875 1326291268750 1383587051560 1421026359375 1482414698100 1591549522500 1624030125000 1729483814450 1764779402500 1853018372625 1894701812500 1989436903125 2075380577340 2117735283000 2205974253125 2273642175000 2470691163500 2594225721675 2647169103750 2652582537500 2842052718750 2964829396200 3088363954375 3183099045000 3315728171875 3458967628900 3529558805000 3706036745250 3789403625000 3978873806250 4150761154680 4323709536125 4411948506250 4941382327000 5188451443350 5294338207500 5305165075000 5684105437500 6176727908750 6617922759375 6631456343750 6917935257800 7412073490500 7957747612500 8647419072250 8823897012500 9265091863125 9947184515625 10376902886700 10588676415000 11029871265625 11368210875000 12353455817500 12971128608375 13235845518750 13262912687500 14824146981000 15441819771875 15915495225000 17294838144500 17647794025000 18530183726250 19894369031250 20753805773400 21618547680625 22059742531250 24706911635000 25942257216750 26471691037500 26525825375000 30883639543750 33089613796875 34589676289000 37060367452500 39788738062500 43237095361250 44119485062500 46325459315625 51884514433500 52943382075000 61767279087500 64855643041875 66179227593750 74120734905000 77209098859375 79577476125000 86474190722500 88238970125000 92650918631250 103769028867000 108092738403125 123534558175000 129711286083750 132358455187500 154418197718750 172948381445000 185301837262500 216185476806250 231627296578125 259422572167500 264716910375000 308836395437500 324278215209375 370603674525000 432370953612500 463254593156250 518845144335000 540463692015625 617672790875000 648556430418750 864741907225000 926509186312500 1080927384031250 1297112860837500 1621391076046875 1853018372625000 2161854768062500 2594225721675000 3242782152093750 4323709536125000 6485564304187500 12971128608375000
• Sum of all divisors σ(n): 47443158427220820
• Sum of proper divisors (its aliquot sum) s(n): 34472029818845820
• 12971128608375000 is an abundant number, because the sum of its proper divisors (34472029818845820) is greater than itself. Its abundance is 21500901210470820

Bases of 12971128608375000

• Binary: 101110000101010010110000111001000010011100000011011000₂
• Hexadecimal: 0x2E152C3909C0D8
• Base-36: 3JPVQ7WT68O

Squares and roots of 12971128608375000

• 12971128608375000 squared (12971128608375000²) is 168250177375004364120140625000000
• 12971128608375000 cubed (12971128608375000³) is 2182394689113087268079231446465552734375000000000
• The square root of 12971128608375000 is 113890862.7080109531
• The cube root of 12971128608375000 is 234959.2723043743

Scales and comparisons

• 12,971,128,608,375,000 seconds is equal to 412,441,767 years, 21 weeks, 2 days, 16 hours, 10 minutes.
• To count from 1 to 12,971,128,608,375,000 would take you about one billion, two hundred thirty-seven million, three hundred twenty-five thousand, three hundred two 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 12971128608375000 cubic inches would be around 19579.9 feet tall.

Recreational maths with 12971128608375000

• 12971128608375000 backwards is 00057380682117921
• 12971128608375000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12971128608375000's digits is 60
• More coming soon!