20984398223035464

Names of 20984398223035464

• Cardinal: 20984398223035464 can be written as Twenty quadrillion, nine hundred eighty-four trillion, three hundred ninety-eight billion, two hundred twenty-three million, thirty-five thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 2.0984398223035464 × 10¹⁶

Factors of 20984398223035464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 294994

Divisors of 20984398223035464

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 547 604 906 1057 1094 1208 1359 1641 1723 1812 2114 2188 2718 3171 3282 3446 3624 3829 4228 4376 4923 5169 5436 6342 6564 6892 7658 8456 9513 9846 10338 10872 11487 12061 12684 13128 13784 15316 15507 19026 19692 20676 22974 24122 25368 30632 31014 34461 36183 38052 39384 41352 45948 48244 62028 68922 72366 76104 82597 91896 96488 108549 124056 137844 144732 165194 217098 247791 260173 275688 289464 292561 330388 434196 495582 520346 578179 585122 660776 743373 780519 868392 877683 942481 991164 1040692 1156358 1170244 1486746 1561038 1734537 1755366 1821211 1884962 1982328 2047927 2081384 2312716 2340488 2341557 2633049 2827443 2973492 3122076 3469074 3510732 3642422 3769924 4095854 4625432 4683114 5203611 5266098 5463633 5654886 5946984 6143781 6244152 6597367 6938148 7021464 7284844 7539848 8191708 8482329 9366228 10407222 10532196 10927266 11309772 12287562 13194734 13876296 14569688 16383416 16390899 16964658 18431343 18732456 19792101 20814444 21064392 21854532 22619544 24575124 26389468 32781798 33929316 36862686 39584202 41628888 43709064 44176711 49150248 52778936 59376303 65563596 67858632 73725372 79168404 88353422 118752606 131127192 132530133 142314631 147450744 158336808 160030867 176706844 237505212 265060266 284629262 309236977 320061734 353413688 397590399 426943893 475010424 480092601 504082603 530120532 569258524 618473954 640123468 795180798 853887786 927710931 960185202 996202417 1008165206 1060241064 1120216069 1138517048 1236947908 1280246936 1280831679 1440277803 1512247809 1590361596 1707775572 1855421862 1920370404 1992404834 2016330412 2240432138 2473895816 2561663358 2783132793 2880555606 2988607251 3024495618 3180723192 3360648207 3415551144 3528578221 3710843724 3840740808 3984809668 4032660824 4480864276 4536743427 5123326716 5566265586 5761111212 5977214502 6048991236 6721296414 7057156442 7421687448 7969619336 8961728552 8965821753 9073486854 10081944621 10246653432 10585734663 11132531172 11522222424 11954429004 12097982472 13442592828 14114312884 17931643506 18146973708 20163889242 21171469326 22265062344 23908858008 24164660917 26885185656 28228625768 31757203989 35863287012 36293947416 40327778484 42342938652 48329321834 63514407978 71726574024 72493982751 76116473053 80655556968 84685877304 96658643668 127028815956 144987965502 152232946106 169152626419 193317287336 217481948253 228349419159 254057631912 275733183841 289975931004 304465892212 338305252838 434963896506 456698838318 507457879257 532815311371 551466367682 579951862008 608931784424 676610505676 685048257477 827199551523 869927793012 913397676636 1014915758514 1065630622742 1102932735364 1353221011352 1370096514954 1522373637771 1598445934113 1654399103046 1739855586024 1826795353272 1930132286887 2029831517028 2131261245484 2205865470728 2481598654569 2740193029908 3044747275542 3196891868226 3308798206092 3860264573774 4059663034056 4262522490968 4795337802339 4963197309138 5480386059816 5790396860661 6089494551084 6393783736452 6617596412184 7720529147548 9590675604678 9926394618276 11580793721322 12178989102168 12787567472904 15441058295096 17371190581983 19181351209356 19852789236552 23161587442644 34742381163966 38362702418712 41635710759991 46323174885288 69484762327932 83271421519982 124907132279973 138969524655864 166542843039964 249814264559946 291449975319937 333085686079928 374721396839919 499628529119892 582899950639874 749442793679838 874349925959811 999257058239784 1165799901279748 1498885587359676 1748699851919622 2331599802559496 2623049777879433 2997771174719352 3497399703839244 5246099555758866 6994799407678488 10492199111517732 20984398223035464
• Sum of all divisors σ(n): 65539620530042880
• Sum of proper divisors (its aliquot sum) s(n): 44555222307007416
• 20984398223035464 is an abundant number, because the sum of its proper divisors (44555222307007416) is greater than itself. Its abundance is 23570824083971952

Bases of 20984398223035464

• Binary: 1001010100011010011001011110001111010001100110001001000₂
• Hexadecimal: 0x4A8D32F1E8CC48
• Base-36: 5QMCJGKW020

Squares and roots of 20984398223035464

• 20984398223035464 squared (20984398223035464²) is 440344968782933939126162201695296
• 20984398223035464 cubed (20984398223035464³) is 9240374180451205818898346247281707186179929977344
• The square root of 20984398223035464 is 144859926.2150697907
• The cube root of 20984398223035464 is 275824.0767114105

Scales and comparisons

• 20,984,398,223,035,464 seconds is equal to 667,238,954 years, 25 weeks, 2 days, 6 hours, 44 minutes, 24 seconds.
• To count from 1 to 20,984,398,223,035,464 would take you about two billion, one million, seven hundred sixteen thousand, eight hundred sixty-three 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 20984398223035464 cubic inches would be around 22985.3 feet tall.

Recreational maths with 20984398223035464

• 20984398223035464 backwards is 46453032289348902
• 20984398223035464 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 20984398223035464's digits is 72
• More coming soon!