102313817100096

Names of 102313817100096

• Cardinal: 102313817100096 can be written as One hundred two trillion, three hundred thirteen billion, eight hundred seventeen million, one hundred thousand and ninety-six.

Scientific notation

• Scientific notation: 1.02313817100096 × 10¹⁴

Factors of 102313817100096

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 490

Divisors of 102313817100096

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 449 464 609 672 696 812 841 898 928 1218 1344 1347 1392 1624 1682 1796 1856 2436 2523 2694 2784 3143 3248 3364 3592 4872 5046 5388 5568 5887 6286 6496 6728 7184 9429 9744 10092 10776 11774 12572 12992 13021 13456 14368 17661 18858 19488 20184 21552 23548 25144 26042 26912 28736 35322 37716 38976 39063 40368 43104 47096 50288 52084 53824 70644 75432 78126 80736 86208 91147 94192 100576 104168 141288 150864 156252 161472 182294 188384 201152 201601 208336 273441 282576 301728 312504 364588 376768 377609 403202 416672 546882 565152 603456 604803 625008 729176 755218 806404 833344 1093764 1130304 1132827 1209606 1250016 1411207 1458352 1510436 1612808 2187528 2265654 2419212 2500032 2643263 2822414 2916704 3020872 3225616 4233621 4375056 4531308 4838424 5286526 5644828 5833408 5846429 6041744 6451232 7929789 8467242 8750112 9062616 9676848 10573052 11289656 11692858 12083488 12902464 15859578 16934484 17500224 17539287 18125232 19353696 21146104 22579312 23385716 24166976 31719156 33868968 35078574 36250464 38707392 40925003 42292208 45158624 46771432 63438312 67737936 70157148 72500928 81850006 84584416 90317248 90518849 93542864 122775009 126876624 135475872 140314296 163700012 169168832 169546441 181037698 187085728 245550018 253753248 270951744 271556547 280628592 327400024 339092882 362075396 374171456 491100036 507506496 508639323 543113094 561257184 633631943 654800048 678185764 724150792 982200072 1017278646 1086226188 1122514368 1186825087 1267263886 1309600096 1356371528 1448301584 1900895829 1964400144 2034557292 2172452376 2373650174 2534527772 2619200192 2625046621 2712743056 2896603168 3560475261 3801791658 3928800288 4069114584 4344904752 4747300348 5069055544 5250093242 5425486112 5793206336 7120950522 7603583316 7857600576 7875139863 8138229168 8689809504 9494600696 10138111088 10500186484 10850972224 14241901044 15207166632 15750279726 16276458336 17379619008 18375326347 18989201392 20276222176 21000372968 28483802088 30414333264 31500559452 32552916672 36750652694 37978402784 40552444352 42000745936 55125979041 56967604176 60828666528 63001118904 73501305388 75956805568 76126352009 84001491872 110251958082 113935208352 121657333056 126002237808 147002610776 152252704018 168002983744 220503916164 227870416704 228379056027 252004475616 294005221552 304505408036 441007832328 456758112054 504008951232 532884464063 588010443104 609010816072 882015664656 913516224108 1065768928126 1176020886208 1218021632144 1598653392189 1764031329312 1827032448216 2131537856252 2436043264288 3197306784378 3528062658624 3654064896432 4263075712504 4872086528576 6394613568756 7308129792864 8526151425008 12789227137512 14616259585728 17052302850016 25578454275024 34104605700032 51156908550048 102313817100096
• Sum of all divisors σ(n): 321128761449600
• Sum of proper divisors (its aliquot sum) s(n): 218814944349504
• 102313817100096 is an abundant number, because the sum of its proper divisors (218814944349504) is greater than itself. Its abundance is 116501127249408

Bases of 102313817100096

• Binary: 10111010000110111001010101110010100111101000000₂
• Hexadecimal: 0x5D0DCAB94F40
• Base-36: 109MBH1BUO

Squares and roots of 102313817100096

• 102313817100096 squared (102313817100096²) is 10468117169591896662883209216
• 102313817100096 cubed (102313817100096³) is 1071033025471999936056613848466495181684736
• The square root of 102313817100096 is 10115029.2683756481
• The cube root of 102313817100096 is 46771.1551104619

Scales and comparisons

• 102,313,817,100,096 seconds is equal to 3,253,262 years, 47 weeks, 22 hours, 1 minute, 36 seconds.
• To count from 1 to 102,313,817,100,096 would take you about eight million, one hundred thirty-three thousand, one hundred fifty-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 102313817100096 cubic inches would be around 3897.6 feet tall.

Recreational maths with 102313817100096

• 102313817100096 backwards is 690001718313201
• 102313817100096 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 102313817100096's digits is 42
• More coming soon!