40313716684193792

Names of 40313716684193792

• Cardinal: 40313716684193792 can be written as Forty quadrillion, three hundred thirteen trillion, seven hundred sixteen billion, six hundred eighty-four million, one hundred ninety-three thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 4.0313716684193792 × 10¹⁶

Factors of 40313716684193792

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 87

Divisors of 40313716684193792

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 37 41 56 64 74 82 112 128 148 164 224 256 259 287 296 328 448 512 518 574 592 656 896 1024 1036 1148 1184 1312 1517 1681 1792 2048 2072 2296 2368 2624 3034 3362 3584 4096 4144 4592 4736 5248 6068 6724 7168 8192 8288 9184 9472 10496 10619 11767 12136 13448 14336 16384 16576 18368 18944 20992 21238 23534 24272 26896 28672 32768 33152 36736 37888 41984 42476 47068 48544 53792 57344 62197 66304 68921 73472 75776 83968 84952 94136 97088 107584 114688 124394 132608 137842 146944 151552 167936 169904 188272 194176 215168 229376 248788 265216 275684 293888 303104 335872 339808 376544 388352 430336 435379 482447 497576 530432 551368 587776 606208 671744 679616 753088 776704 860672 870758 964894 995152 1060864 1102736 1175552 1212416 1343488 1359232 1506176 1553408 1721344 1741516 1929788 1990304 2121728 2205472 2351104 2550077 2718464 2825761 3012352 3106816 3442688 3483032 3859576 3980608 4243456 4410944 4702208 5100154 5436928 5651522 6024704 6213632 6885376 6966064 7719152 7961216 8486912 8821888 9404416 10200308 10873856 11303044 12049408 12427264 13770752 13932128 15438304 15922432 17643776 17850539 19780327 20400616 21747712 22606088 24098816 24854528 27541504 27864256 30876608 31844864 35287552 35701078 39560654 40801232 43495424 45212176 48197632 49709056 55083008 55728512 61753216 63689728 70575104 71402156 79121308 81602464 86990848 90424352 96395264 104553157 111457024 115856201 123506432 127379456 141150208 142804312 158242616 163204928 173981696 180848704 192790528 209106314 222914048 231712402 247012864 254758912 282300416 285608624 316485232 326409856 347963392 361697408 385581056 418212628 445828096 463424804 494025728 509517824 564600832 571217248 632970464 652819712 723394816 731872099 810993407 836425256 891656192 926849608 988051456 1019035648 1129201664 1142434496 1265940928 1305639424 1446789632 1463744198 1621986814 1672850512 1783312384 1853699216 1976102912 2038071296 2258403328 2284868992 2531881856 2611278848 2893579264 2927488396 3243973628 3345701024 3566624768 3707398432 3952205824 4286679437 4569737984 4750104241 5063763712 5222557696 5787158528 5854976792 6487947256 6691402048 7133249536 7414796864 7904411648 8573358874 9139475968 9500208482 10127527424 10445115392 11574317056 11709953584 12975894512 13382804096 14266499072 14829593728 15808823296 17146717748 18278951936 19000416964 20255054848 20890230784 23148634112 23419907168 25951789024 26765608192 29659187456 30006756059 33250729687 34293435496 36557903872 38000833928 40510109696 41780461568 46297268224 46839814336 51903578048 53531216384 59318374912 60013512118 66501459374 68586870992 73115807744 76001667856 81020219392 83560923136 92594536448 93679628672 103807156096 107062432768 118636749824 120027024236 133002918748 137173741984 146231615488 152003335712 162040438784 175753856917 187359257344 207614312192 214124865536 237273499648 240054048472 266005837496 274347483968 292463230976 304006671424 324080877568 351507713834 374718514688 415228624384 428249731072 474546999296 480108096944 532011674992 548694967936 584926461952 608013342848 648161755136 703015427668 749437029376 830457248768 856499462144 949093998592 960216193888 1064023349984 1097389935872 1216026685696 1230276998419 1406030855336 1498874058752 1660914497536 1712998924288 1898187997184 1920432387776 2128046699968 2194779871744 2432053371392 2460553996838 2812061710672 2997748117504 3321828995072 3425997848576 3796375994368 3840864775552 4256093399936 4389559743488 4864106742784 4921107993676 5624123421344 5995496235008 6643657990144 7681729551104 8512186799872 8779119486976 9728213485568 9842215987352 11248246842688 11990992470016 13287315980288 15363459102208 17024373599744 17558238973952 19456426971136 19684431974704 22496493685376 23981984940032 26574631960576 30726918204416 34048747199488 35116477947904 38912853942272 39368863949408 44992987370752 61453836408832 68097494398976 70232955895808 77825707884544 78737727898816 89985974741504 122907672817664 136194988797952 140465911791616 155651415769088 157475455797632 179971949483008 245815345635328 272389977595904 314950911595264 359943898966016 491630691270656 544779955191808 629901823190528 719887797932032 983261382541312 1089559910383616 1259803646381056 1439775595864064 2519607292762112 2879551191728128 5039214585524224 5759102383456256 10078429171048448 20156858342096896 40313716684193792
• Sum of all divisors σ(n): 97000482174316080
• Sum of proper divisors (its aliquot sum) s(n): 56686765490122288
• 40313716684193792 is an abundant number, because the sum of its proper divisors (56686765490122288) is greater than itself. Its abundance is 16373048805928496

Bases of 40313716684193792

• Binary: 10001111001110010001110010011010100010011000000000000000₂
• Hexadecimal: 0x8F391C9A898000
• Base-36: B0Y0PRWG6BK

Squares and roots of 40313716684193792

• 40313716684193792 squared (40313716684193792²) is 1625195752893444907423289011339264
• 40313716684193792 cubed (40313716684193792³) is 65517681138501361173969808142080926325166034649088
• The square root of 40313716684193792 is 200782759.9277233563
• The cube root of 40313716684193792 is 342886.9420418819
• Being both a perfect square and a perfect cube, 40313716684193792 is also a perfect sixth number.

Scales and comparisons

• 40,313,716,684,193,792 seconds is equal to 1,281,851,492 years, 2 weeks, 2 days, 2 hours, 16 minutes, 32 seconds.
• To count from 1 to 40,313,716,684,193,792 would take you about three billion, eight hundred forty-five million, five hundred fifty-four thousand, four hundred seventy-six 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 40313716684193792 cubic inches would be around 28573.9 feet tall.

Recreational maths with 40313716684193792

• 40313716684193792 backwards is 29739148661731304
• 40313716684193792 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40313716684193792's digits is 74
• More coming soon!