4147984949608740438

Names of 4147984949608740438

• Cardinal: 4147984949608740438 can be written as Four quintillion, one hundred forty-seven quadrillion, nine hundred eighty-four trillion, nine hundred forty-nine billion, six hundred eight million, seven hundred forty thousand, four hundred thirty-eight.

Scientific notation

• Scientific notation: 4.147984949608740438 × 10¹⁸

Factors of 4147984949608740438

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2059

Divisors of 4147984949608740438

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 6 9 11 18 22 33 66 99 198 307 337 614 674 921 1011 1399 1842 2022 2763 2798 3033 3377 3707 4197 5526 6066 6754 7414 8394 10131 11121 12591 15389 20262 22242 25182 30393 30778 33363 46167 60786 66726 92334 94249 103459 113569 138501 188498 206918 227138 277002 282747 310377 340707 429493 471463 565494 620754 681414 848241 858986 931131 942926 1022121 1036739 1138049 1249259 1288479 1414389 1696482 1862262 1957201 2044242 2073478 2276098 2498518 2576958 2828778 3110217 3414147 3747777 3865437 3914402 4243167 4724423 5186093 5871603 6220434 6828294 7495554 7730874 8486334 9330651 9448846 10242441 10372186 11243331 11743206 14173269 15558279 17614809 18661302 20484882 21529211 22486662 28346538 31116558 31761913 34865683 35229618 42519807 43058422 46674837 63523826 64587633 69731366 85039614 93349674 95285739 104597049 129175266 131854351 144739141 158883031 190571478 193762899 209194098 263708702 285857217 289478282 313791147 317766062 349381043 383522513 387525798 395563053 434217423 476649093 571714434 600860707 627582294 659576737 698762086 767045026 791126106 868434846 953298186 1048143129 1150567539 1186689159 1201721414 1302652269 1319153474 1429947279 1450397861 1592130551 1747713341 1802582121 1978730211 2096286258 2301135078 2373378318 2605304538 2859894558 2900795722 3144429387 3184261102 3451702617 3495426682 3605164242 3957460422 4351193583 4776391653 5243140023 5407746363 5936190633 6288858774 6609467777 6903405234 7255344107 8702387166 9552783306 10486280046 10703764681 10815492726 11872381266 13053580749 13218935554 14329174959 14510688214 15729420069 19828403331 21407529362 21766032321 26107161498 28658349918 31458840138 32111294043 39656806662 43532064642 44434916287 48777090517 59485209993 64222588086 65298096963 88869832574 96333882129 97554181034 117741411491 118970419986 130596193926 133304748861 146331271551 184464237049 192667764258 202490058259 222277360369 235482822982 266609497722 292662543102 353224234473 368928474098 399914246583 404980116518 438993814653 444554720738 488784079157 536547995687 553392711147 607470174777 666832081107 706448468946 799828493166 877987629306 977568158314 1059672703419 1073095991374 1106785422294 1214940349554 1333664162214 1466352237471 1609643987061 1660178133441 1822410524331 2000496243321 2029106607539 2119345406838 2227390640849 2445050964059 2932704474942 3219287974122 3320356266882 3644821048662 4000992486642 4058213215078 4399056712413 4454781281698 4828931961183 4890101928118 6087319822617 6682171922547 7335152892177 8798113424826 9657863922366 12174639645234 13364343845094 14670305784354 14974566788719 18261959467851 20046515767641 22005458676531 29949133577438 36523918935702 40093031535282 44010917353062 44923700366157 62164447885513 68239149633283 89847400732314 124328895771026 134771101098471 136478299266566 164720234675909 186493343656539 204717448899849 269542202196942 329440469351818 372986687313078 409434897799698 494160704027727 559480030969617 614152346699547 683808926740643 750630645966113 988321408055454 1118960061939234 1228304693399094 1367617853481286 1482482112083181 1501261291932226 2051426780221929 2251891937898339 2964964224166362 4102853560443858 4503783875796678 6154280340665787 6755675813695017 12308560681331574 13511351627390034 20949418937417881 41898837874835762 62848256812253643 125696513624507286 188544770436760929 230443608311596691 377089540873521858 460887216623193382 691330824934790073 1382661649869580146 2073992474804370219 4147984949608740438
• Sum of all divisors σ(n): 9872699622957100332
• Sum of proper divisors (its aliquot sum) s(n): 5724714673348359894
• 4147984949608740438 is an abundant number, because the sum of its proper divisors (5724714673348359894) is greater than itself. Its abundance is 1576729723739619456

Bases of 4147984949608740438

• Binary: 11100110010000100110100101010110101111000110000111011001010110₂
• Hexadecimal: 0x39909A55AF187656
• Base-36: VIIPY3BJDQHI

Squares and roots of 4147984949608740438

• 4147984949608740438 squared (4147984949608740438²) is 17205779142180624950713900244856431844
• 4147984949608740438 cubed (4147984949608740438³) is 71369312928057216866117422928363202002498527523833707672
• The square root of 4147984949608740438 is 2036660244.0291165163
• The cube root of 4147984949608740438 is 1606740.4378328885

Scales and comparisons

• 4,147,984,949,608,740,438 seconds is equal to 131,893,090,837 years, 35 weeks, 2 days, 23 hours, 27 minutes, 18 seconds.
• To count from 1 to 4,147,984,949,608,740,438 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4147984949608740438 cubic inches would be around 133895 feet tall.

Recreational maths with 4147984949608740438

• 4147984949608740438 backwards is 8340478069494897414
• 4147984949608740438 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 4147984949608740438's digits is 99
• More coming soon!