4004042149093888

Names of 4004042149093888

• Cardinal: 4004042149093888 can be written as Four quadrillion, four trillion, forty-two billion, one hundred forty-nine million, ninety-three thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 4.004042149093888 × 10¹⁵

Factors of 4004042149093888

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 223

Divisors of 4004042149093888

• Number of divisors d(n): 560
• Complete list of divisors:
  1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 128 176 181 232 242 256 319 352 362 464 484 512 638 704 724 841 928 968 1276 1331 1408 1448 1682 1856 1936 1991 2552 2662 2816 2896 3364 3509 3712 3872 3982 5104 5249 5324 5632 5792 6728 7018 7424 7744 7964 9251 10208 10498 10648 11584 13456 14036 14641 14848 15488 15928 18502 20416 20996 21296 21901 23168 24389 26912 28072 29282 30976 31856 37004 38599 40832 41992 42592 43802 46336 48778 53824 56144 57739 58564 61952 63712 74008 77198 81664 83984 85184 87604 92672 97556 101761 107648 112288 115478 117128 127424 148016 152221 154396 161051 163328 167968 170368 175208 195112 203522 215296 224576 230956 234256 240911 254848 268279 296032 304442 308792 322102 335936 340736 350416 390224 407044 424589 430592 449152 461912 468512 481822 509696 536558 592064 608884 617584 635129 644204 671872 681472 700832 780448 814088 849178 898304 923824 937024 963644 1019392 1073116 1119371 1184128 1217768 1235168 1270258 1288408 1343744 1401664 1560896 1628176 1674431 1698356 1771561 1796608 1847648 1874048 1927288 2146232 2238742 2368256 2435536 2470336 2540516 2576816 2650021 2687488 2803328 2951069 3121792 3256352 3348862 3396712 3543122 3695296 3748096 3854576 4292464 4414409 4477484 4670479 4736512 4871072 4940672 5081032 5153632 5300042 5606656 5902138 6243584 6512704 6697724 6793424 6986419 7086244 7390592 7496192 7709152 8584928 8828818 8954968 9340958 9742144 9881344 10162064 10307264 10600084 11213312 11804276 12313081 12487168 13025408 13395448 13586848 13972838 14172488 14781184 15418304 17169856 17657636 17909936 18418741 18681916 19484288 19762688 20324128 20614528 21200168 23608552 24626162 26050816 26790896 27173696 27945676 28344976 29150231 29562368 30836608 32461759 34339712 35315272 35819872 36837482 37363832 38968576 40648256 41229056 42400336 47217104 48558499 49252324 51375269 52101632 53581792 54347392 55891352 56689952 58300462 61673216 64923518 68679424 70630544 71639744 73674964 74727664 76850609 77937152 81296512 82458112 84800672 94434208 97116998 98504648 102750538 107163584 108694784 111782704 113379904 116600924 123346432 129847036 135443891 137358848 141261088 143279488 147349928 149455328 153701218 162593024 169601344 188868416 194233996 197009296 202606151 205501076 214327168 217389568 223565408 226759808 233201848 259694072 270887782 282522176 286558976 294699856 298910656 307402436 320652541 325186048 339202688 357079349 377736832 388467992 394018592 405212302 411002152 428654336 447130816 453519616 466403696 519388144 534143489 541775564 565044352 573117952 589399712 597821312 614804872 641305082 678405376 714158698 755473664 776935984 788037184 810424604 822004304 845356699 857308672 894261632 907039232 932807392 1038776288 1068286978 1083551128 1130088704 1178799424 1195642624 1229609744 1282610164 1356810752 1428317396 1489882801 1510947328 1553871968 1576074368 1620849208 1644008608 1690713398 1788523264 1865614784 2077552576 2136573956 2167102256 2228667661 2260177408 2357598848 2391285248 2459219488 2565220328 2856634792 2979765602 3107743936 3152148736 3241698416 3288017216 3381426796 3577046528 3731229568 3927872839 4155105152 4273147912 4334204512 4457335322 4715197696 4918438976 5130440656 5713269584 5875578379 5959531204 6215487872 6304297472 6483396832 6576034432 6762853592 7462459136 7855745678 8310210304 8546295824 8668409024 8914670644 9298923689 9430395392 9836877952 10260881312 11426539168 11751156758 11919062408 12430975744 12966793664 13152068864 13525707184 14924918272 15711491356 16620420608 17092591648 17336818048 17829341288 18597847378 19673755904 20521762624 22853078336 23502313516 23838124816 24515344271 24861951488 25933587328 26304137728 27051414368 31422982712 34185183296 34673636096 35658682576 37195694756 39347511808 41043525248 43206601229 45706156672 47004627032 47676249632 49030688542 51867174656 54102828736 62845965424 64631362169 68370366592 69347272192 71317365152 74391389512 82087050496 86413202458 91412313344 94009254064 95352499264 98061377084 103734349312 108205657472 125691930848 129262724338 136740733184 142634730304 148782779024 164174100992 172826404916 182824626688 188018508128 190704998528 196122754168 216411314944 251383861696 258525448676 269668786981 273481466368 285269460608 297565558048 345652809832 376037016256 381409997056 392245508336 432822629888 502767723392 517050897352 539337573962 570538921216 595131116096 691305619664 710944983859 752074032512 762819994112 784491016672 1005535446784 1034101794704 1078675147924 1141077842432 1190262232192 1382611239328 1421889967718 1504148065024 1568982033344 2011070893568 2068203589408 2157350295848 2380524464384 2765222478656 2843779935436 3008296130048 3137964066688 4136407178816 4314700591696 4761048928768 5530444957312 5687559870872 6275928133376 7820394822449 8272814357632 8629401183392 11060889914624 11375119741744 12551856266752 15640789644898 16545628715264 17258802366784 22121779829248 22750239483488 31281579289796 33091257430528 34517604733568 45500478966976 62563158579592 69035209467136 91000957933952 125126317159184 138070418934272 182001915867904 250252634318368 364003831735808 500505268636736 1001010537273472 2002021074546944 4004042149093888
• Sum of all divisors σ(n): 9164929778124120
• Sum of proper divisors (its aliquot sum) s(n): 5160887629030232
• 4004042149093888 is an abundant number, because the sum of its proper divisors (5160887629030232) is greater than itself. Its abundance is 1156845479936344

Bases of 4004042149093888

• Binary: 1110001110011010011110110101111101100110001000000000₂
• Hexadecimal: 0xE39A7B5F66200
• Base-36: 13FBBKI9KHS

Squares and roots of 4004042149093888

• 4004042149093888 squared (4004042149093888²) is 16032353531720401219579438956544
• 4004042149093888 cubed (4004042149093888³) is 64194219290182740574773242665478629737808003072
• The square root of 4004042149093888 is 63277501.1287099425
• The cube root of 4004042149093888 is 158793.5581265007

Scales and comparisons

• 4,004,042,149,093,888 seconds is equal to 127,316,155 years, 1 week, 2 days, 7 hours, 51 minutes, 28 seconds.
• To count from 1 to 4,004,042,149,093,888 would take you about three hundred eighty-one million, nine hundred forty-eight thousand, four hundred sixty-five 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 4004042149093888 cubic inches would be around 13232.8 feet tall.

Recreational maths with 4004042149093888

• 4004042149093888 backwards is 8883909412404004
• 4004042149093888 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4004042149093888's digits is 64
• More coming soon!