40993218230016

Names of 40993218230016

• Cardinal: 40993218230016 can be written as Forty trillion, nine hundred ninety-three billion, two hundred eighteen million, two hundred thirty thousand and sixteen.

Scientific notation

• Scientific notation: 4.0993218230016 × 10¹³

Factors of 40993218230016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1423

Divisors of 40993218230016

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 41 43 48 52 64 78 82 86 96 104 123 128 129 156 164 172 192 208 246 256 258 312 328 344 384 416 492 516 533 559 624 656 688 768 832 984 1032 1066 1118 1248 1312 1321 1376 1599 1664 1677 1681 1763 1849 1968 2064 2132 2236 2496 2624 2642 2752 3198 3328 3354 3362 3526 3698 3936 3963 4128 4264 4472 4992 5043 5248 5284 5289 5504 5547 6396 6708 6724 7052 7396 7872 7926 8256 8528 8944 9984 10086 10496 10568 10578 11008 11094 12792 13416 13448 14104 14792 15744 15852 16512 17056 17173 17888 20172 21136 21156 21853 22188 22919 24037 25584 26832 26896 28208 29584 31488 31704 33024 34112 34346 35776 40344 42272 42312 43706 44376 45838 48074 51168 51519 53664 53792 54161 56416 56803 59168 63408 65559 68224 68692 68757 71552 72111 72283 75809 80688 84544 84624 87412 88752 91676 96148 102336 103038 107328 107584 108322 112832 113606 118336 126816 131118 136448 137384 137514 143104 144222 144566 151618 161376 162483 169088 169248 170409 174824 177504 183352 192296 204672 206076 214656 215168 216644 216849 225664 227212 227427 236672 253632 262236 274768 275028 288444 289132 303236 322752 324966 338176 338496 340818 349648 355008 366704 384592 409344 412152 429312 430336 433288 433698 451328 454424 454854 473344 507264 524472 549536 550056 576888 578264 606472 645504 649932 676992 681636 699296 704093 710016 733408 738439 769184 824304 866576 867396 908848 909708 939679 985517 1014528 1048944 1099072 1100112 1153776 1156528 1212944 1291008 1299864 1353984 1363272 1398592 1408186 1420032 1466816 1476878 1538368 1648608 1733152 1734792 1817696 1819416 1879358 1971034 2097888 2112279 2198144 2200224 2215317 2220601 2307552 2313056 2328923 2425888 2442529 2599728 2726544 2797184 2816372 2819037 2933632 2953756 2956551 3076736 3108169 3297216 3466304 3469584 3635392 3638832 3758716 3942068 4195776 4224558 4396288 4400448 4430634 4441202 4615104 4626112 4657846 4851776 4885058 5199456 5453088 5594368 5632744 5638074 5867264 5907512 5913102 6153472 6216338 6594432 6661803 6932608 6939168 6986769 7270784 7277664 7327587 7517432 7884136 8391552 8449116 8800896 8861268 8882404 9230208 9252224 9315692 9324507 9703552 9770116 10398912 10906176 11265488 11276148 11815024 11826204 12432676 13188864 13323606 13865216 13878336 13973538 14541568 14555328 14655174 15034864 15768272 16783104 16898232 17601792 17722536 17764808 18460416 18504448 18631384 18649014 19407104 19540232 20797824 21812352 22530976 22552296 23630048 23652408 24865352 26647212 27756672 27947076 28867813 29110656 29310348 30069728 30275999 31536544 31752877 33796464 35445072 35529616 37262768 37298028 39080464 40406197 41595648 43624704 45061952 45104592 47260096 47304816 49730704 53294424 55513344 55894152 57735626 58221312 58620696 60139456 60551998 63073088 63505754 67592928 70890144 71059232 74525536 74596056 78160928 80812394 86603439 90123904 90209184 90827997 94520192 94609632 95258631 95485843 99461408 100143689 106588848 111788304 115471252 117241392 120278912 121103996 121218591 126146176 127011508 135185856 141780288 142118464 149051072 149192112 156321856 161624788 173206878 180247808 180418368 181655994 189040384 189219264 190517262 190971686 198922816 200287378 213177696 223576608 230942504 234482784 240557824 242207992 242437182 252292352 254023016 270371712 283560576 284236928 286457529 298102144 298384224 300431067 312643712 323249576 346413756 360836736 363311988 378438528 381034524 381943372 397845632 400574756 426355392 447153216 461885008 468965568 484415984 484874364 508046032 540743424 567121152 568473856 572915058 596204288 596768448 600862134 625287424 646499152 692827512 721673472 726623976 756877056 762069048 763886744 795691264 801149512 852710784 894306432 923770016 937931136 968831968 969748728 1016092064 1145830116 1193536896 1201724268 1241315959 1292998304 1301867957 1385655024 1453247952 1524138096 1527773488 1602299024 1705421568 1788612864 1847540032 1875862272 1937663936 1939497456 2032184128 2291660232 2387073792 2403448536 2482631918 2585996608 2603735914 2771310048 2906495904 3048276192 3055546976 3204598048 3695080064 3723947877 3875327872 3878994912 3905603871 4064368256 4105891249 4583320464 4806897072 4965263836 5171993216 5207471828 5542620096 5812991808 6096552384 6111093952 6409196096 7390160128 7447895754 7750655744 7757989824 7811207742 8128736512 8211782498 9166640928 9613794144 9930527672 10343986432 10414943656 11085240192 11625983616 12193104768 12222187904 12317673747 12818392192 14895791508 15515979648 15622415484 16423564996 18333281856 19227588288 19861055344 20829887312 22170480384 23251967232 24386209536 24444375808 24635347494 25636784384 29791583016 31031959296 31244830968 32847129992 36666563712 38455176576 39722110688 41659774624 49270694988 53376586237 59583166032 62489661936 65694259984 73333127424 76910353152 79444221376 83319549248 98541389976 106753172474 119166332064 124979323872 131388519968 158888442752 160129758711 166639098496 197082779952 213506344948 238332664128 249958647744 262777039936 317776885504 320259517422 333278196992 394165559904 427012689896 476665328256 499917295488 525554079872 640519034844 788331119808 854025379792 953330656512 999834590976 1051108159744 1281038069688 1576662239616 1708050759584 2562076139376 3153324479232 3416101519168 5124152278752 6832203038336 10248304557504 13664406076672 20496609115008 40993218230016
• Sum of all divisors σ(n): 123388951466928
• Sum of proper divisors (its aliquot sum) s(n): 82395733236912
• 40993218230016 is an abundant number, because the sum of its proper divisors (82395733236912) is greater than itself. Its abundance is 41402515006896

Bases of 40993218230016

• Binary: 1001010100100001111010001101011111011100000000₂
• Hexadecimal: 0x25487A35F700
• Base-36: EJ40VPXXC

Squares and roots of 40993218230016

• 40993218230016 squared (40993218230016²) is 1680443940853716115883360256
• 40993218230016 cubed (40993218230016³) is 68886805190724484347928215657770800644096
• The square root of 40993218230016 is 6402594.6482669037
• The cube root of 40993218230016 is 34480.2710781639

Scales and comparisons

• 40,993,218,230,016 seconds is equal to 1,303,457 years, 28 weeks, 7 hours, 53 minutes, 36 seconds.
• To count from 1 to 40,993,218,230,016 would take you about three million, two hundred fifty-eight thousand, six hundred forty-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 40993218230016 cubic inches would be around 2873.4 feet tall.

Recreational maths with 40993218230016

• 40993218230016 backwards is 61003281239904
• 40993218230016 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40993218230016's digits is 48
• More coming soon!