12007948192185088

Names of 12007948192185088

• Cardinal: 12007948192185088 can be written as Twelve quadrillion, seven trillion, nine hundred forty-eight billion, one hundred ninety-two million, one hundred eighty-five thousand and eighty-eight.

Scientific notation

• Scientific notation: 1.2007948192185088 × 10¹⁶

Factors of 12007948192185088

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 619

Divisors of 12007948192185088

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 169 176 208 242 256 286 338 352 416 484 572 593 676 704 832 968 1144 1186 1331 1352 1408 1573 1664 1859 1936 2288 2372 2662 2704 2816 3146 3328 3718 3872 4576 4744 5324 5408 6292 6523 7436 7709 7744 9152 9488 10648 10816 12584 13046 14872 15418 15488 17303 18304 18976 20449 21296 21632 25168 26092 29744 30836 30976 34606 36608 37952 40898 42592 43264 50336 52184 59488 61672 69212 71753 75904 81796 84799 85184 100217 100672 104368 118976 123344 138424 143506 151808 163592 169598 170368 200434 201344 208736 224939 237952 246688 276848 287012 327184 339196 340736 351649 400868 402688 417472 449878 475904 493376 553696 574024 654368 678392 703298 789283 801736 834944 899756 932789 986752 1102387 1107392 1148048 1308736 1356784 1406596 1578566 1603472 1669888 1799512 1865578 1973504 2204774 2214784 2296096 2617472 2713568 2813192 3157132 3206944 3599024 3731156 3868139 4409548 4429568 4571437 4592192 5234944 5427136 5626384 6314264 6413888 7198048 7462312 7736278 8819096 9142874 9184384 10260679 10854272 11252768 12126257 12628528 12827776 14396096 14924624 15472556 17638192 18285748 18368768 20521358 21708544 22505536 24252514 25257056 25655552 28792192 29849248 30945112 35276384 36571496 41042716 42549529 45011072 48505028 50285807 50514112 57584384 59428681 59698496 61890224 70552768 73142992 82085432 85099058 90022144 97010056 100571614 101028224 118857362 119396992 123780448 133388827 141105536 146285984 164170864 170198116 194020112 201143228 202056448 208527857 237714724 238793984 247560896 266777654 282211072 292571968 328341728 340396232 388040224 402286456 417055714 468044819 475429448 495121792 533555308 553143877 585143936 653715491 656683456 680792464 776080448 804572912 834111428 936089638 950858896 990243584 1067110616 1106287754 1170287872 1307430982 1313366912 1361584928 1552160896 1609145824 1668222856 1872179276 1901717792 2134221232 2212575508 2293806427 2614861964 2626733824 2710862141 2723169856 3104321792 3218291648 3336445712 3744358552 3803435584 4268442464 4425151016 4587612854 5229723928 5421724282 5446339712 6084582647 6436583296 6672891424 7190870401 7488717104 7606871168 8536884928 8850302032 9175225708 10459447856 10843448564 10892679424 12169165294 12873166592 13345782848 14381740802 14977434208 15213742336 17073769856 17700604064 18350451416 20918895712 21686897128 24338330588 25231870697 26691565696 28763481604 29819483551 29954868416 34147539712 35241207833 35401208128 36700902832 41837791424 43373794256 48676661176 50463741394 53383131392 57526963208 59638967102 59909736832 70482415666 70802416256 73401805664 79099574411 83675582848 86747588512 97353322352 100927482788 115053926416 119277934204 119819473664 140964831332 141604832512 146803611328 158199148822 167351165696 173495177024 194706644704 201854965576 230107852832 238555868408 277550577667 281929662664 293607222656 316398297644 328014319061 346990354048 387653286163 389413289408 403709931152 460215705664 477111736816 555101155334 563859325328 587214445312 632796595288 656028638122 693980708096 775306572326 778826578816 807419862304 920431411328 954223473632 1110202310668 1127718650656 1265593190576 1312057276244 1550613144652 1557653157632 1614839724608 1840862822656 1908446947264 2220404621336 2255437301312 2531186381152 2624114552488 3101226289304 3229679449216 3608157509671 3816893894528 4264186147793 4440809242672 4510874602624 5062372762304 5248229104976 6202452578608 6459358898432 7216315019342 7633787789056 8528372295586 8881618485344 9021749205248 10124745524608 10496458209952 12404905157216 14432630038684 17056744591172 17763236970688 20249491049216 20992916419904 24809810314432 28865260077368 34113489182344 35526473941376 41985832839808 46906047625723 49619620628864 57730520154736 68226978364688 71052947882752 83971665679616 93812095251446 99239241257728 115461040309472 136453956729376 187624190502892 230922080618944 272907913458752 375248381005784 461844161237888 545815826917504 750496762011568 923688322475776 1091631653835008 1500993524023136 3001987048046272 6003974096092544 12007948192185088
• Sum of all divisors σ(n): 28596319014463200
• Sum of proper divisors (its aliquot sum) s(n): 16588370822278112
• 12007948192185088 is an abundant number, because the sum of its proper divisors (16588370822278112) is greater than itself. Its abundance is 4580422630093024

Bases of 12007948192185088

• Binary: 101010101010010010101001001110011110011111101100000000₂
• Hexadecimal: 0x2AA92A4E79FB00
• Base-36: 3A8GN8TLBLS

Squares and roots of 12007948192185088

• 12007948192185088 squared (12007948192185088²) is 144190819786201123093956049567744
• 12007948192185088 cubed (12007948192185088³) is 1731435893781399593057027385005668083621242601472
• The square root of 12007948192185088 is 109580783.8637098269
• The cube root of 12007948192185088 is 228993.3840704475

Scales and comparisons

• 12,007,948,192,185,088 seconds is equal to 381,815,609 years, 25 weeks, 2 days, 23 hours, 51 minutes, 28 seconds.
• To count from 1 to 12,007,948,192,185,088 would take you about one billion, one hundred forty-five million, four hundred forty-six thousand, eight hundred twenty-eight 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 12007948192185088 cubic inches would be around 19082.8 feet tall.

Recreational maths with 12007948192185088

• 12007948192185088 backwards is 88058129184970021
• The number of decimal digits it has is: 17
• The sum of 12007948192185088's digits is 73
• More coming soon!