13485248746442144

Names of 13485248746442144

• Cardinal: 13485248746442144 can be written as Thirteen quadrillion, four hundred eighty-five trillion, two hundred forty-eight billion, seven hundred forty-six million, four hundred forty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.3485248746442144 × 10¹⁶

Factors of 13485248746442144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1290

Divisors of 13485248746442144

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 41 49 53 56 82 98 106 112 164 196 212 224 287 328 371 392 424 574 656 742 784 848 1148 1187 1312 1484 1568 1696 2009 2173 2296 2374 2597 2809 2968 4018 4346 4592 4748 5194 5618 5936 8036 8309 8692 9184 9496 10388 11236 11872 15211 16072 16618 17384 18992 19663 20776 22472 30422 32144 33236 34768 37984 39326 41552 44944 48667 58163 60844 62911 64288 66472 69536 78652 83104 89888 97334 106477 115169 116326 121688 125822 132944 137641 148877 157304 194668 212954 230338 232652 243376 251644 265888 275282 297754 314608 340669 389336 425908 440377 460676 465304 486752 503288 550564 595508 629216 681338 778672 806183 851816 880754 921352 930608 1006576 1042139 1101128 1191016 1362676 1408969 1557344 1612366 1703632 1761508 1842704 1861216 2013152 2084278 2202256 2382032 2384683 2579351 2725352 2817938 3082639 3224732 3334283 3407264 3523016 3685408 4168556 4404512 4764064 4769366 5158702 5450704 5635876 5643281 6103957 6165278 6449464 6668566 7046032 7294973 8337112 9538732 9862783 10317404 10901408 11271752 11286562 12207914 12330556 12898928 13337132 14092064 14589946 16674224 18055457 19077464 19725566 20634808 22543504 22573124 23339981 24415828 24661112 25797856 26674264 29179892 33348448 36110914 38154928 39451132 41269616 42727699 45087008 45146248 46679962 48831656 49322224 53348528 57767729 58359784 69039481 72221828 74675357 76309856 78902264 82539232 85455398 90292496 93359924 97663312 98644448 106697056 115535458 116719568 126388199 136705603 138078962 144443656 149350714 157804528 163379867 170910796 176716999 180584992 186719848 195326624 231070916 233439136 252776398 273411206 276157924 288887312 298701428 299093893 315609056 326759734 341821592 353433998 373439696 404374103 462141832 505552796 522727499 546822412 552315848 577774624 597402856 598187786 653519468 683643184 706867996 746879392 808748206 924283664 956939221 1011105592 1045454998 1093644824 1104631696 1194805712 1196375572 1237018993 1307038936 1367286368 1413735992 1617496412 1848567328 1913878442 2022211184 2090909996 2187289648 2209263392 2389611424 2392751144 2474037986 2614077872 2827471984 2830618721 3061689637 3234992824 3659092493 3827756884 3957793921 4044422368 4181819992 4374579296 4785502288 4948075972 5228155744 5654943968 5661237442 6123379274 6469985648 6698574547 7245396959 7318184986 7655513768 7915587842 8363639984 8659132951 9571004576 9896151944 11322474884 12246758548 12939971296 13397149094 14490793918 14636369972 15311027536 15831175684 16727279968 17318265902 19792303888 21431827459 22644949768 24493517096 26794298188 27704557447 28981587836 29272739944 30622055072 31662351368 34636531804 39584607776 42863654918 45289899536 48987034192 50717778713 53588596376 55409114894 57963175672 58545479888 63324702736 69273063608 85727309836 90579799072 97974068384 101435557426 107177192752 110818229788 115926351344 117090959776 126649405472 138546127216 150022792213 162269550761 171454619672 193931902129 202871114852 209763077813 214354385504 221636459576 231852702688 277092254432 300045584426 324539101522 342909239344 355024450991 387863804258 405742229704 419526155626 443272919152 600091168852 649078203044 685818478688 710048901982 775727608516 811484459408 839052311252 886545838304 1135886855327 1200182337704 1298156406088 1420097803964 1468341544691 1551455217032 1622968918816 1678104622504 2271773710654 2400364675408 2596312812176 2840195607928 2936683089382 3102910434064 3356209245008 4543547421308 4800729350816 5192625624352 5680391215856 5873366178764 6205820868128 6712418490016 7951207987289 8600286190333 9087094842616 10278390812837 11360782431712 11746732357528 15902415974578 17200572380666 18174189685232 20556781625674 23493464715056 31804831949156 34401144761332 36348379370464 41113563251348 46986929430112 60202003332331 63609663898312 68802289522664 82227126502696 120404006664662 127219327796624 137604579045328 164454253005392 240808013329324 254438655593248 275209158090656 328908506010784 421414023326317 481616026658648 842828046652634 963232053317296 1685656093305268 1926464106634592 3371312186610536 6742624373221072 13485248746442144
• Sum of all divisors σ(n): 32272472754453960
• Sum of proper divisors (its aliquot sum) s(n): 18787224008011816
• 13485248746442144 is an abundant number, because the sum of its proper divisors (18787224008011816) is greater than itself. Its abundance is 5301975261569672

Bases of 13485248746442144

• Binary: 101111111010001100001100100101001111010100110110100000₂
• Hexadecimal: 0x2FE8C3253D4DA0
• Base-36: 3OS4DR0TRQ8

Squares and roots of 13485248746442144

• 13485248746442144 squared (13485248746442144²) is 181851933753419416159298339316736
• 13485248746442144 cubed (13485248746442144³) is 2452318561686378996371701940849233445751914921984
• The square root of 13485248746442144 is 116126003.7478348085
• The cube root of 13485248746442144 is 238023.3996862391

Scales and comparisons

• 13,485,248,746,442,144 seconds is equal to 428,789,197 years, 27 weeks, 1 day, 15 hours, 15 minutes, 44 seconds.
• To count from 1 to 13,485,248,746,442,144 would take you about one billion, two hundred eighty-six million, three hundred sixty-seven thousand, five hundred ninety-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 13485248746442144 cubic inches would be around 19835.3 feet tall.

Recreational maths with 13485248746442144

• 13485248746442144 backwards is 44124464784258431
• The number of decimal digits it has is: 17
• The sum of 13485248746442144's digits is 71
• More coming soon!