13538224193336640

Names of 13538224193336640

• Cardinal: 13538224193336640 can be written as Thirteen quadrillion, five hundred thirty-eight trillion, two hundred twenty-four billion, one hundred ninety-three million, three hundred thirty-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.353822419333664 × 10¹⁶

Factors of 13538224193336640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 261198423

Divisors of 13538224193336640

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 857 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1714 1728 1890 2016 2160 2240 2520 2571 2880 3024 3360 3428 3780 4032 4285 4320 5040 5142 5999 6048 6720 6856 7560 7713 8570 8640 10080 10284 11998 12096 12855 13712 15120 15426 17140 17997 20160 20568 23139 23996 25710 27424 29995 30240 30852 34280 35994 38565 41136 46278 47992 51420 53991 54848 59990 60480 61704 68560 71988 77130 82272 89985 92556 95984 102840 107982 115695 119980 123408 137120 143976 154260 161973 164544 179970 185112 191968 205680 215964 231390 239960 246816 269955 274240 287952 308520 323946 359940 370224 383936 411360 431928 462780 479920 493632 539910 575904 617040 647892 719880 740448 809865 822720 863856 925560 959840 1079820 1151808 1234080 1295784 1439760 1480896 1619730 1727712 1851120 1919680 2159640 2468160 2591568 2879520 3239460 3455424 3702240 4319280 5183136 5759040 6478920 7404480 8638560 10366272 12957840 17277120 25915680 51831360 261197549 522395098 783592647 1044790196 1305987745 1567185294 1828382843 2089580392 2350777941 2611975490 3134370588 3656765686 3917963235 4179160784 4701555882 5223950980 5485148529 6268741176 7052333823 7313531372 7835926470 8358321568 9141914215 9403111764 10447901960 10970297058 11753889705 12537482352 14104667646 14627062744 15671852940 16455445587 16716643136 18283828430 18806223528 20895803920 21940594116 23507779410 25074964704 27425742645 28209335292 29254125488 31343705880 32910891174 35261669115 36567656860 37612447056 41791607840 43881188232 47015558820 49366336761 50149929408 54851485290 56418670584 58508250976 62687411760 65821782348 70523338230 73135313720 75224894112 82277227935 83583215680 87762376464 94031117640 98732673522 109702970580 112837341168 117016501952 125374823520 131643564696 141046676460 146270627440 150449788224 164554455870 175524752928 188062235280 197465347044 219405941160 223846299493 225674682336 246831683805 250749647040 263287129392 282093352920 292541254880 329108911740 351049505856 376124470560 394930694088 438811882320 447692598986 451349364672 493663367610 526574258784 564186705840 585082509760 658217823480 671538898479 752248941120 789861388176 877623764640 895385197972 987326735220 1053148517568 1119231497465 1128373411680 1316435646960 1343077796958 1566924096451 1579722776352 1755247529280 1790770395944 1974653470440 2014616695437 2238462994930 2256746823360 2632871293920 2686155593916 3133848192902 3159445552704 3357694492395 3581540791888 3949306940880 4029233390874 4476925989860 4700772289353 5265742587840 5372311187832 6043850086311 6267696385804 6715388984790 7163081583776 7834620482255 7898613881760 8058466781748 8953851979720 9401544578706 10073083477185 10744622375664 12087700172622 12535392771608 13430777969580 14102316868059 14326163167552 15669240964510 15797227763520 16116933563496 17907703959440 18803089157412 20146166954370 21489244751328 23503861446765 24175400345244 25070785543216 26861555939160 28204633736118 30219250431555 31338481929020 32233867126992 35815407918880 37606178314824 40292333908740 42306950604177 42978489502656 47007722893530 48350800690488 50141571086432 53723111878320 56409267472236 60438500863110 62676963858040 64467734253984 70511584340295 71630815837760 75212356629648 80584667817480 84613901208354 94015445787060 96701601380976 100283142172864 107446223756640 112818534944472 120877001726220 125353927716080 128935468507968 141023168680590 150424713259296 161169335634960 169227802416708 188030891574120 193403202761952 211534753020885 214892447513280 225637069888944 241754003452440 250707855432160 282046337361180 300849426518592 322338671269920 338455604833416 376061783148240 386806405523904 423069506041770 451274139777888 483508006904880 501415710864320 564092674722360 644677342539840 676911209666832 752123566296480 846139012083540 902548279555776 967016013809760 1128185349444720 1353822419333664 1504247132592960 1692278024167080 1934032027619520 2256370698889440 2707644838667328 3384556048334160 4512741397778880 6769112096668320 13538224193336640
• Sum of all divisors σ(n): 54646372287936000
• Sum of proper divisors (its aliquot sum) s(n): 41108148094599360
• 13538224193336640 is an abundant number, because the sum of its proper divisors (41108148094599360) is greater than itself. Its abundance is 27569923901262720

Bases of 13538224193336640

• Binary: 110000000110001111000101110011111011101111010101000000₂
• Hexadecimal: 0x3018F173EEF540
• Base-36: 3PAWEC24EO0

Squares and roots of 13538224193336640

• 13538224193336640 squared (13538224193336640²) is 183283514309045516833776366489600
• 13538224193336640 cubed (13538224193336640³) is 2481333307658482256994217047148059678907858944000
• The square root of 13538224193336640 is 116353874.8531248529
• The cube root of 13538224193336640 is 238334.6761178827

Scales and comparisons

• 13,538,224,193,336,640 seconds is equal to 430,473,652 years, 45 weeks, 2 days, 2 hours, 24 minutes.
• To count from 1 to 13,538,224,193,336,640 would take you about one billion, two hundred ninety-one million, four hundred twenty thousand, nine hundred fifty-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 13538224193336640 cubic inches would be around 19861.2 feet tall.

Recreational maths with 13538224193336640

• 13538224193336640 backwards is 04663339142283531
• 13538224193336640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13538224193336640's digits is 63
• More coming soon!