90948418009344

Names of 90948418009344

• Cardinal: 90948418009344 can be written as Ninety trillion, nine hundred forty-eight billion, four hundred eighteen million, nine thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 9.0948418009344 × 10¹³

Factors of 90948418009344

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 9473

Divisors of 90948418009344

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 378 384 392 432 441 448 504 567 576 588 648 672 756 768 784 864 882 896 1008 1134 1152 1176 1296 1323 1344 1512 1568 1728 1764 1792 2016 2268 2304 2352 2592 2646 2688 3024 3136 3456 3528 3969 4032 4536 4704 5184 5292 5376 6048 6272 6912 7056 7938 8064 9072 9408 9461 10368 10584 12096 12544 14112 15876 16128 18144 18816 18922 20736 21168 24192 28224 28383 31752 36288 37632 37844 42336 48384 56448 56766 63504 66227 72576 75688 84672 85149 112896 113532 127008 132454 145152 151376 169344 170298 198681 227064 254016 255447 264908 302752 338688 340596 397362 454128 463589 508032 510894 529816 596043 605504 681192 766341 794724 908256 927178 1016064 1021788 1059632 1192086 1211008 1362384 1390767 1532682 1589448 1788129 1816512 1854356 2043576 2119264 2384172 2422016 2724768 2781534 3065364 3178896 3576258 3633024 3708712 4087152 4172301 4238528 4768344 5364387 5449536 5563068 6130728 6357792 7152516 7266048 7417424 8174304 8344602 8477056 9536688 10728774 10899072 11126136 12261456 12516903 12715584 14305032 14834848 16348608 16689204 16954112 19073376 21457548 21798144 22252272 24522912 25033806 25431168 28610064 29669696 32697216 33378408 37550709 38146752 42915096 44504544 49045824 50067612 50862336 57220128 59339392 65394432 66756816 75101418 76293504 85830192 89009088 89510521 98091648 100135224 114440256 118678784 133513632 150202836 152587008 171660384 178018176 179021042 196183296 200270448 228880512 267027264 268531563 300405672 343320768 356036352 358042084 400540896 457761024 534054528 537063126 600811344 626573647 686641536 716084168 801081792 805594689 1068109056 1074126252 1201622688 1253147294 1373283072 1432168336 1602163584 1611189378 1879720941 2148252504 2403245376 2416784067 2506294588 2864336672 3204327168 3222378756 3759441882 4296505008 4386015529 4806490752 4833568134 5012589176 5639162823 5728673344 6444757512 7250352201 7518883764 8593010016 8772031058 9612981504 9667136268 10025178352 11278325646 11457346688 12889515024 13158046587 14500704402 15037767528 16917488469 17186020032 17544062116 19334272536 20050356704 22556651292 22914693376 25779030048 26316093174 29001408804 30075535056 33834976938 34372040064 35088124232 38668545072 39474139761 40100713408 45113302584 50752465407 51558060096 52632186348 58002817608 60151070112 67669953876 68744080128 70176248464 77337090144 78948279522 80201426816 90226605168 101504930814 103116120192 105264372696 116005635216 118422419283 120302140224 135339907752 140352496928 154674180288 157896559044 160402853632 180453210336 203009861628 206232240384 210528745392 232011270432 236844838566 240604280448 270679815504 280704993856 309348360576 315793118088 355267257849 360906420672 406019723256 421057490784 464022540864 473689677132 481208560896 541359631008 561409987712 618696721152 631586236176 710534515698 721812841344 812039446512 842114981568 928045081728 947379354264 1082719262016 1122819975424 1263172472352 1421069031396 1443625682688 1624078893024 1684229963136 1856090163456 1894758708528 2165438524032 2526344944704 2842138062792 3248157786048 3368459926272 3789517417056 4330877048064 5052689889408 5684276125584 6496315572096 7579034834112 10105379778816 11368552251168 12992631144192 15158069668224 22737104502336 30316139336448 45474209004672 90948418009344
• Sum of all divisors σ(n): 315501273925761
• Sum of proper divisors (its aliquot sum) s(n): 224552855916417
• 90948418009344 is an abundant number, because the sum of its proper divisors (224552855916417) is greater than itself. Its abundance is 133604437907073

Bases of 90948418009344

• Binary: 10100101011011110010100001001011111100100000000₂
• Hexadecimal: 0x52B79425F900
• Base-36: W8L4JV400

Squares and roots of 90948418009344

• 90948418009344 squared (90948418009344²) is 8271614738402368035671310336
• 90948418009344 cubed (90948418009344³) is 752290274840469188413704969971561171779584
• 90948418009344 is a perfect square number. Its square root is 9536688
• The cube root of 90948418009344 is 44970.9142100775

Scales and comparisons

• 90,948,418,009,344 seconds is equal to 2,891,878 years, 19 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 90,948,418,009,344 would take you about seven million, two hundred twenty-nine thousand, six hundred ninety-five 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 90948418009344 cubic inches would be around 3747.6 feet tall.

Recreational maths with 90948418009344

• 90948418009344 backwards is 44390081484909
• 90948418009344 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 90948418009344's digits is 63
• More coming soon!