12993918199177536

Names of 12993918199177536

• Cardinal: 12993918199177536 can be written as Twelve quadrillion, nine hundred ninety-three trillion, nine hundred eighteen billion, one hundred ninety-nine million, one hundred seventy-seven thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.2993918199177536 × 10¹⁶

Factors of 12993918199177536

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 111

Divisors of 12993918199177536

• Number of divisors d(n): 392
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 83 92 96 108 138 144 166 184 192 207 216 249 276 288 332 368 414 432 498 552 576 621 664 736 747 828 864 996 1104 1242 1328 1472 1494 1656 1728 1909 1992 2208 2241 2484 2656 2988 3312 3818 3984 4416 4482 4968 5312 5727 5976 6624 6889 7636 7968 8964 9936 11454 11952 13248 13778 15272 15936 17181 17928 19872 20667 22908 23904 27556 30544 34362 35856 39744 41334 45816 47808 51543 55112 61088 62001 68724 71712 82668 91632 103086 110224 122176 124002 137448 143424 158447 165336 183264 186003 206172 220448 248004 274896 316894 330672 366528 372006 412344 440896 475341 496008 549792 571787 633788 661344 744012 824688 950682 992016 1099584 1143574 1267576 1322688 1426023 1488024 1649376 1715361 1901364 1984032 2287148 2535152 2852046 2976048 3298752 3430722 3802728 3968064 4278069 4574296 5070304 5146083 5704092 5952096 6861444 7605456 8556138 9148592 10140608 10292166 11408184 11904192 13151101 13722888 15210912 15438249 17112276 18297184 20584332 22816368 26302202 27445776 30421824 30876498 34224552 36594368 39453303 41168664 45632736 47458321 52604404 54891552 61752996 68449104 78906606 82337328 91265472 94916642 105208808 109783104 118359909 123505992 136898208 142374963 157813212 164674656 189833284 210417616 236719818 247011984 273796416 284749926 315626424 329349312 355079727 379666568 420835232 427124889 473439636 494023968 569499852 631252848 710159454 759333136 841670464 854249778 946879272 988047936 1091541383 1138999704 1262505696 1281374667 1420318908 1518666272 1708499556 1893758544 2183082766 2277999408 2525011392 2562749334 2840637816 3037332544 3274624149 3416999112 3787517088 3939040643 4366165532 4555998816 5125498668 5681275632 6549248298 6833998224 7575034176 7878081286 8732331064 9111997632 9823872447 10250997336 11362551264 11817121929 13098496596 13667996448 15756162572 17464662128 19647744894 20501994672 22725102528 23634243858 26196993192 27335992896 29471617341 31512325144 34929324256 35451365787 39295489788 41003989344 47268487716 52393986384 58943234682 63024650288 69858648512 70902731574 78590979576 82007978688 90597934789 94536975432 104787972768 106354097361 117886469364 126049300576 141805463148 157181959152 181195869578 189073950864 209575945536 212708194722 235772938728 252098601152 271793804367 283610926296 314363918304 326940373369 362391739156 378147901728 425416389444 471545877456 543587608734 567221852592 628727836608 653880746738 724783478312 756295803456 815381413101 850832778888 943091754912 980821120107 1087175217468 1134443705184 1307761493476 1449566956624 1630762826202 1701665557776 1886183509824 1961642240214 2174350434936 2268887410368 2446144239303 2615522986952 2899133913248 2942463360321 3261525652404 3403331115552 3923284480428 4348700869872 4892288478606 5231045973904 5798267826496 5884926720642 6523051304808 6806662231104 7519628587487 7846568960856 8697401739744 8827390080963 9784576957212 10462091947808 11769853441284 13046102609616 15039257174974 15693137921712 17394803479488 17654780161926 19569153914424 20924183895616 22558885762461 23539706882568 26092205219232 30078514349948 31386275843424 35309560323852 39138307828848 45117771524922 47079413765136 52184410438464 60157028699896 62772551686848 67676657287383 70619120647704 78276615657696 90235543049844 94158827530272 120314057399792 135353314574766 141238241295408 156553231315392 180471086099688 188317655060544 203029971862149 240628114799584 270706629149532 282476482590816 360942172199376 406059943724298 481256229599168 541413258299064 564952965181632 721884344398752 812119887448596 1082826516598128 1443768688797504 1624239774897192 2165653033196256 3248479549794384 4331306066392512 6496959099588768 12993918199177536
• Sum of all divisors σ(n): 40346674837258560
• Sum of proper divisors (its aliquot sum) s(n): 27352756638081024
• 12993918199177536 is an abundant number, because the sum of its proper divisors (27352756638081024) is greater than itself. Its abundance is 14358838438903488

Bases of 12993918199177536

• Binary: 101110001010011110011001010110100000001010000101000000₂
• Hexadecimal: 0x2E29E65680A140
• Base-36: 3JXYJM2RIO0

Squares and roots of 12993918199177536

• 12993918199177536 squared (12993918199177536²) is 168841910166917180123786847031296
• 12993918199177536 cubed (12993918199177536³) is 2193917969301803791899628792927242838630452166656
• The square root of 12993918199177536 is 113990868.9289520943
• The cube root of 12993918199177536 is 235096.7954903691
• Being both a perfect square and a perfect cube, 12993918199177536 is also a perfect sixth number.

Scales and comparisons

• 12,993,918,199,177,536 seconds is equal to 413,166,405 years, 47 weeks, 17 hours, 45 minutes, 36 seconds.
• To count from 1 to 12,993,918,199,177,536 would take you about one billion, two hundred thirty-nine million, four hundred ninety-nine thousand, two hundred seventeen 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 12993918199177536 cubic inches would be around 19591.4 feet tall.

Recreational maths with 12993918199177536

• 12993918199177536 backwards is 63577199181939921
• The number of decimal digits it has is: 17
• The sum of 12993918199177536's digits is 90
• More coming soon!