40988124725900352

Names of 40988124725900352

• Cardinal: 40988124725900352 can be written as Forty quadrillion, nine hundred eighty-eight trillion, one hundred twenty-four billion, seven hundred twenty-five million, nine hundred thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 4.0988124725900352 × 10¹⁶

Factors of 40988124725900352

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 11224555304

Divisors of 40988124725900352

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 48 52 56 57 64 66 76 77 78 84 88 91 96 104 112 114 132 133 143 152 154 156 168 176 182 192 208 209 224 228 231 247 264 266 273 286 304 308 312 336 352 364 399 416 418 429 448 456 462 494 528 532 546 572 608 616 624 627 672 704 728 741 798 832 836 858 912 924 988 1001 1056 1064 1092 1144 1216 1232 1248 1254 1344 1456 1463 1482 1596 1672 1716 1729 1824 1848 1976 2002 2112 2128 2184 2288 2464 2496 2508 2717 2912 2926 2964 3003 3192 3344 3432 3458 3648 3696 3952 4004 4256 4368 4389 4576 4928 5016 5187 5434 5824 5852 5928 6006 6384 6688 6864 6916 7392 7904 8008 8151 8512 8736 8778 9152 10032 10374 10868 11704 11856 12012 12768 13376 13728 13832 14784 15808 16016 16302 17472 17556 19019 20064 20748 21736 23408 23712 24024 25536 27456 27664 32032 32604 35112 38038 40128 41496 43472 46816 47424 48048 55328 57057 64064 65208 70224 76076 82992 86944 93632 96096 110656 114114 130416 140448 152152 165984 173888 192192 228228 260832 280896 304304 331968 456456 521664 608608 912912 1217216 1825824 3651648 11224555249 22449110498 33673665747 44898220996 67347331494 78571886743 89796441992 123470107739 134694662988 145919218237 157143773486 179592883984 213266549731 235715660229 246940215478 269389325976 291838436474 314287546972 359185767968 370410323217 426533099462 437757654711 471431320458 493880430956 538778651952 583676872948 628575093944 639799649193 718371535936 740820646434 853066198924 864290754173 875515309422 942862640916 987760861912 1021434527659 1077557303904 1167353745896 1257150187888 1279599298386 1481641292868 1492865848117 1605111400607 1706132397848 1728581508346 1751030618844 1885725281832 1975521723824 2042869055318 2155114607808 2334707491792 2345932047041 2514300375776 2559198596772 2592872262519 2772465146503 2963282585736 2985731696234 3064303582977 3210222801214 3412264795696 3457163016692 3502061237688 3771450563664 3951043447648 4085738110636 4478597544351 4669414983584 4691864094082 4815334201821 5028600751552 5118397193544 5185744525038 5544930293006 5926565171472 5971463392468 6128607165954 6420445602428 6824529591392 6914326033384 7004122475376 7037796141123 7542901127328 7902086895296 8171476221272 8317395439509 8957195088702 9338829967168 9383728188164 9630668403642 10236794387088 10371489050076 11089860586012 11235779804249 11853130342944 11942926784936 12257214331908 12840891204856 13649059182784 13828652066768 14008244950752 14075592282246 15085802254656 16342952442544 16421524329287 16634790879018 17914390177404 18767456376328 19261336807284 19407256025521 20473588774176 20742978100152 22179721172024 22471559608498 23706260685888 23885853569872 24514428663816 25681782409712 27657304133536 28016489901504 28151184564492 30497116611533 32685904885088 32843048658574 33269581758036 33707339412747 35828780354808 37534912752656 38522673614568 38814512051042 40947177548352 41485956200304 44359442344048 44943119216996 47771707139744 49028857327632 49264572987861 51363564819424 55314608267072 56302369128984 58221768076563 60994233223066 65371809770176 65686097317148 66539163516072 67414678825494 71657560709616 75069825505312 77045347229136 77629024102084 82971912400608 88718884688096 89886238433992 91491349834599 95543414279488 98057714655264 98529145975722 102727129638848 112604738257968 116443536153126 121988466446132 131372194634296 133078327032144 134829357650988 143315121419232 150139651010624 154090694458272 155258048204168 165943824801216 177437769376192 179772476867984 182982699669198 196115429310528 197058291951444 213479816280731 225209476515936 232887072306252 243976932892264 262744389268592 266156654064288 269658715301976 286630242838464 308181388916544 310516096408336 359544953735968 365965399338396 394116583902888 426959632561462 450418953031872 465774144612504 487953865784528 525488778537184 532313308128576 539317430603952 621032192816672 640439448842193 719089907471936 731930798676792 788233167805776 853919265122924 931548289225008 975907731569056 1050977557074368 1078634861207904 1242064385633344 1280878897684386 1463861597353584 1576466335611552 1707838530245848 1863096578450016 1951815463138112 2157269722415808 2561757795368772 2927723194707168 3152932671223104 3415677060491696 3726193156900032 5123515590737544 5855446389414336 6831354120983392 10247031181475088 13662708241966784 20494062362950176 40988124725900352
• Sum of all divisors σ(n): 153271750920960000
• Sum of proper divisors (its aliquot sum) s(n): 112283626195059648
• 40988124725900352 is an abundant number, because the sum of its proper divisors (112283626195059648) is greater than itself. Its abundance is 71295501469159296

Bases of 40988124725900352

• Binary: 10010001100111100111101101110110010010111111010001000000₂
• Hexadecimal: 0x919E7B764BF440
• Base-36: B7L2SJVS56O

Squares and roots of 40988124725900352

• 40988124725900352 squared (40988124725900352²) is 1680026368545963805770617033723904
• 40988124725900352 cubed (40988124725900352³) is 68861130336763396467234821322938094953473784414208
• The square root of 40988124725900352 is 202455241.2902672965
• The cube root of 40988124725900352 is 344788.4293399187

Scales and comparisons

• 40,988,124,725,900,352 seconds is equal to 1,303,295,581 years, 35 weeks, 5 days, 22 hours, 59 minutes, 12 seconds.
• To count from 1 to 40,988,124,725,900,352 would take you about three billion, nine hundred nine million, eight hundred eighty-six thousand, seven hundred forty-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 40988124725900352 cubic inches would be around 28732.4 feet tall.

Recreational maths with 40988124725900352

• 40988124725900352 backwards is 25300952742188904
• The number of decimal digits it has is: 17
• The sum of 40988124725900352's digits is 69
• More coming soon!