40138627572432896

Names of 40138627572432896

• Cardinal: 40138627572432896 can be written as Forty quadrillion, one hundred thirty-eight trillion, six hundred twenty-seven billion, five hundred seventy-two million, four hundred thirty-two thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.0138627572432896 × 10¹⁶

Factors of 40138627572432896

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 4997

Divisors of 40138627572432896

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 961 992 1024 1612 1664 1922 1984 2048 3224 3328 3844 3968 4096 4951 6448 6656 7688 7936 8192 9902 12493 12896 13312 15376 15872 16384 19804 24986 25792 26624 30752 31744 32768 39608 49972 51584 53248 61504 63488 64363 65536 79216 99944 103168 106496 123008 126976 128726 131072 153481 158432 199888 206336 212992 246016 253952 257452 306962 316864 399776 412672 425984 492032 507904 514904 613924 633728 799552 825344 851968 984064 1015808 1029808 1227848 1267456 1599104 1650688 1703936 1968128 1995253 2031616 2059616 2455696 2534912 3198208 3301376 3936256 3990506 4063232 4119232 4757911 4911392 5069824 6396416 6602752 7872512 7981012 8238464 9515822 9822784 10139648 12792832 13205504 15745024 15962024 16476928 19031644 19645568 20279296 24512401 25585664 26411008 31490048 31924048 32953856 38063288 39291136 40558592 49024802 51171328 52822016 61852843 62980096 63848096 65907712 76126576 78582272 81117184 98049604 102342656 123705686 125960192 127696192 131815424 152253152 157164544 162234368 196099208 204685312 247411372 255392384 263630848 304506304 314329088 318661213 324468736 392198416 409370624 494822744 510784768 527261696 609012608 628658176 637322426 648937472 759884431 784396832 818741248 989645488 1021569536 1054523392 1218025216 1257316352 1274644852 1519768862 1568793664 1637482496 1979290976 2043139072 2109046784 2436050432 2514632704 2549289704 3039537724 3137587328 3958581952 4086278144 4218093568 4872100864 5029265408 5098579408 6079075448 6275174656 7917163904 8172556288 8436187136 9744201728 9878497603 10058530816 10197158816 12158150896 12550349312 15834327808 16345112576 19488403456 19756995206 20117061632 20394317632 23556417361 24316301792 25100698624 31668655616 32690225152 38976806912 39513990412 40788635264 47112834722 48632603584 50201397248 63337311232 65380450304 77953613824 79027980824 81577270528 94225669444 97265207168 100402794496 126674622464 130760900608 155907227648 158055961648 163154541056 188451338888 194530414336 200805588992 253349244928 261521801216 306233425693 311814455296 316111923296 326309082112 376902677776 389060828672 401611177984 506698489856 612466851386 623628910592 632223846592 652618164224 753805355552 778121657344 803222355968 1013396979712 1224933702772 1264447693184 1305236328448 1507610711104 1556243314688 1606444711936 2026793959424 2449867405544 2528895386368 2610472656896 3015221422208 3112486629376 3212889423872 4053587918848 4899734811088 5057790772736 5220945313792 6030442844416 6224973258752 8107175837696 9799469622176 10115581545472 10441890627584 12060885688832 12449946517504 19598939244352 20231163090944 20883781255168 24121771377664 24899893035008 39197878488704 40462326181888 41767562510336 48243542755328 49799786070016 78395756977408 80924652363776 96487085510656 99599572140032 156791513954816 161849304727552 192974171021312 313583027909632 323698609455104 385948342042624 627166055819264 647397218910208 771896684085248 1254332111638528 1294794437820416 1543793368170496 2508664223277056 3087586736340992 5017328446554112 10034656893108224 20069313786216448 40138627572432896
• Sum of all divisors σ(n): 89348883402893058
• Sum of proper divisors (its aliquot sum) s(n): 49210255830460162
• 40138627572432896 is an abundant number, because the sum of its proper divisors (49210255830460162) is greater than itself. Its abundance is 9071628258027266

Bases of 40138627572432896

• Binary: 10001110100110011101111001111110001110100000000000000000₂
• Hexadecimal: 0x8E99DE7E3A0000
• Base-36: AZ7YEY3Z20W

Squares and roots of 40138627572432896

• 40138627572432896 squared (40138627572432896²) is 1611109423398470317827004422946816
• 40138627572432896 cubed (40138627572432896³) is 64667721124228305466706107063765057093886736859136
• The square root of 40138627572432896 is 200346269.1752279573
• The cube root of 40138627572432896 is 342389.8168244209

Scales and comparisons

• 40,138,627,572,432,896 seconds is equal to 1,276,284,199 years, 45 weeks, 4 days, 14 minutes, 56 seconds.
• To count from 1 to 40,138,627,572,432,896 would take you about three billion, eight hundred twenty-eight million, eight hundred fifty-two thousand, five hundred ninety-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 40138627572432896 cubic inches would be around 28532.5 feet tall.

Recreational maths with 40138627572432896

• 40138627572432896 backwards is 69823427572683104
• The number of decimal digits it has is: 17
• The sum of 40138627572432896's digits is 77
• More coming soon!