10742289536889768

Names of 10742289536889768

• Cardinal: 10742289536889768 can be written as Ten quadrillion, seven hundred forty-two trillion, two hundred eighty-nine billion, five hundred thirty-six million, eight hundred eighty-nine thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.0742289536889768 × 10¹⁶

Factors of 10742289536889768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 25646354

Divisors of 10742289536889768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 127 132 143 156 186 248 254 264 286 312 341 372 381 403 429 508 572 682 744 762 806 858 961 1016 1023 1144 1209 1364 1397 1524 1612 1651 1716 1922 2046 2418 2728 2794 2883 3048 3224 3302 3432 3844 3937 4092 4191 4433 4836 4953 5588 5766 6604 7688 7874 8184 8382 8866 9672 9906 10571 11176 11532 11811 12493 13208 13299 15748 16764 17732 18161 19812 21142 23064 23622 24986 26598 31496 31713 33528 35464 36322 37479 39624 42284 43307 47244 49972 51181 53196 54483 63426 72644 74958 84568 86614 94488 99944 102362 106392 108966 122047 126852 129921 137423 145288 149916 153543 173228 204724 217932 244094 253704 259842 274846 299832 307086 346456 366141 409448 412269 435864 488188 519684 549692 562991 614172 732282 824538 976376 1039368 1099384 1125982 1228344 1342517 1464564 1586611 1649076 1688973 2251964 2685034 2929128 3173222 3298152 3377946 4027551 4503928 4759833 5370068 6346444 6755892 8055102 9519666 10740136 12692888 13511784 16110204 17452721 19039332 25646167 32220408 34905442 38078664 51292334 52358163 69810884 76938501 102584668 104716326 139621768 153877002 205169336 209432652 282107837 307754004 333400171 418865304 564215674 615508008 666800342 795031177 846323511 1000200513 1128431348 1333600684 1590062354 1692647022 2000401026 2256862696 2385093531 2667201368 3180124708 3257063209 3385294044 3667401881 4000802052 4770187062 6360249416 6514126418 6770588088 7334803762 8001604104 8745342947 9540374124 9771189627 10335405301 11002205643 13028252836 14669607524 17490685894 19080748248 19542379254 20670810602 22004411286 24645966487 26056505672 26236028841 29339215048 31006215903 34981371788 35827695299 39084758508 41341621204 42341821717 44008822572 49291932974 52472057682 62012431806 69962743576 71655390598 73937899461 78169517016 82683242408 84683643434 88017645144 98583865948 100968959479 104944115364 107483085897 113689458311 124024863612 127025465151 143310781196 147875798922 169367286868 197167731896 201937918958 209888230728 214966171794 227378916622 248049727224 254050930302 271105631357 286621562392 295751597844 302906878437 320397564331 338734573736 341068374933 403875837916 429932343588 454757833244 465760038887 508101860604 542211262714 591503195688 605813756874 640795128662 682136749866 807751675832 813316894071 859864687176 909515666488 931520077774 961192692993 1016203721208 1084422525428 1110658554269 1211627513748 1281590257324 1312596473227 1364273499732 1397280116661 1626633788142 1863040155548 1922385385986 2168845050856 2221317108538 2423255027496 2563180514648 2625192946454 2728546999464 2794560233322 3130037743849 3253267576284 3331975662807 3524373207641 3726080311096 3844770771972 3937789419681 4442634217076 5250385892908 5589120466644 6260075487698 6506535152568 6663951325614 7048746415282 7689541543944 7875578839362 8885268434152 9390113231547 10500771785816 10573119622923 11178240933288 12520150975396 13327902651228 14097492830564 14438561205497 15751157678724 18780226463094 21146239245846 25040301950792 26655805302456 28194985661128 28877122410994 31502315357448 34430415182339 37560452926188 40690490670037 42292478491692 43315683616491 57754244821988 68860830364678 75120905852376 81380981340074 84584956983384 86631367232982 103291245547017 115508489643976 122071472010111 137721660729356 162761962680148 173262734465964 206582491094034 244142944020222 275443321458712 325523925360296 346525468931928 413164982188068 447595397370407 488285888040444 826329964376136 895190794740814 976571776080888 1342786192111221 1790381589481628 2685572384222442 3580763178963256 5371144768444884 10742289536889768
• Sum of all divisors σ(n): 32858083817717760
• Sum of proper divisors (its aliquot sum) s(n): 22115794280827992
• 10742289536889768 is an abundant number, because the sum of its proper divisors (22115794280827992) is greater than itself. Its abundance is 11373504743938224

Bases of 10742289536889768

• Binary: 100110001010100000111000101111111010111011001110101000₂
• Hexadecimal: 0x262A0E2FEBB3A8
• Base-36: 2XRTNOOKFJC

Squares and roots of 10742289536889768

• 10742289536889768 squared (10742289536889768²) is 115396784494371386248526983093824
• 10742289536889768 cubed (10742289536889768³) is 1239625670664609159541353545502013818119089592832
• The square root of 10742289536889768 is 103645016.9419146171
• The cube root of 10742289536889768 is 220647.4695753303

Scales and comparisons

• 10,742,289,536,889,768 seconds is equal to 341,571,579 years, 9 weeks, 6 days, 2 hours, 42 minutes, 48 seconds.
• To count from 1 to 10,742,289,536,889,768 would take you about one billion, twenty-four million, seven hundred fourteen thousand, seven hundred thirty-seven 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 10742289536889768 cubic inches would be around 18387.3 feet tall.

Recreational maths with 10742289536889768

• 10742289536889768 backwards is 86798863598224701
• 10742289536889768 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 10742289536889768's digits is 93
• More coming soon!