42017972110688

Names of 42017972110688

• Cardinal: 42017972110688 can be written as Forty-two trillion, seventeen billion, nine hundred seventy-two million, one hundred ten thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 4.2017972110688 × 10¹³

Factors of 42017972110688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2005

Divisors of 42017972110688

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 337 343 392 532 547 608 674 686 784 931 1064 1093 1094 1348 1372 1568 1862 2128 2186 2188 2359 2696 2744 3724 3829 4256 4372 4376 4718 5392 5488 6403 6517 7448 7651 7658 8744 8752 9436 10393 10784 10976 12806 13034 14896 15302 15316 16513 17488 17504 18872 20767 20786 25612 26068 26803 29792 30604 30632 33026 34976 37744 41534 41572 44821 51224 52136 53557 53606 61208 61264 66052 72751 75488 83068 83144 89642 102448 104272 107114 107212 115591 122416 122528 132104 145369 145502 166136 166288 179284 184339 187621 204896 208544 214228 214424 231182 244832 264208 290738 291004 313747 332272 332576 358568 368341 368678 374899 375242 428456 428848 462364 509257 528416 581476 582008 597871 627494 664544 717136 736682 737356 749798 750484 856912 857696 924728 1017583 1018514 1162952 1164016 1195742 1254988 1290373 1434272 1473364 1474712 1499596 1500968 1713824 1849456 2035166 2037028 2196229 2325904 2328032 2391484 2509976 2578387 2580746 2946728 2949424 2999192 3001936 3502441 3564799 3698912 4070332 4074056 4185097 4392458 4651808 4782968 5019952 5156774 5161492 5893456 5898848 5998384 6003872 6998479 7004882 7123081 7129598 8140664 8148112 8370194 8784916 9032611 9565936 10039904 10313548 10322984 11359549 11786912 11996768 13996958 14009764 14246162 14259196 16281328 16296224 16740388 17569832 18048709 18065222 19131872 20627096 20645968 22719098 24517087 27993916 28019528 28492324 28518392 29295679 32562656 33480776 35139664 36097418 36130444 41254192 41291936 45438196 48989353 49034174 55987832 56039056 56984648 57036784 58591358 63228277 66961552 70279328 72194836 72260888 79516843 82508384 90876392 97978706 98068348 111975664 112078112 113969296 114073568 117182716 126340963 126456554 133923104 144389672 144521776 159033686 171619609 181752784 195957412 196136696 201482527 205069753 223951328 227938592 234365432 252681926 252913108 288779344 289043552 318067372 342925471 343239218 363505568 391914824 392273392 402965054 410139506 468730864 505363852 505826216 556617901 577558688 636134744 685850942 686478436 783829648 784546784 805930108 820279012 937461728 1010727704 1011652432 1113235802 1201337263 1272269488 1371701884 1372956872 1410377689 1567659296 1611860216 1640558024 2021455408 2023304864 2226471604 2400478297 2402674526 2544538976 2743403768 2745913744 2820755378 3223720432 3281116048 3828168013 3896325307 4042910816 4452943208 4800956594 4805349052 5486807536 5491827488 5641510756 6447440864 6562232096 7656336026 7792650614 8905886416 9601913188 9610698104 9872643823 10973615072 11283021512 15312672052 15585301228 17811772832 19203826376 19221396208 19745287646 22566043024 26797176091 30625344104 31170602456 38407652752 38442792416 39490575292 45132086048 53594352182 61250688208 62341204912 69108506761 76815305504 78981150584 107188704364 122501376416 124682409824 138217013522 157962301168 187580232637 214377408728 276434027044 315924602336 375160465274 428754817456 552868054088 750320930548 857509634912 1105736108176 1313061628459 1500641861096 2211472216352 2626123256918 3001283722192 5252246513836 6002567444384 10504493027672 21008986055344 42017972110688
• Sum of all divisors σ(n): 102128068224000
• Sum of proper divisors (its aliquot sum) s(n): 60110096113312
• 42017972110688 is an abundant number, because the sum of its proper divisors (60110096113312) is greater than itself. Its abundance is 18092124002624

Bases of 42017972110688

• Binary: 1001100011011100010010010011010100010101100000₂
• Hexadecimal: 0x2637124D4560
• Base-36: EW6SFQ0RK

Squares and roots of 42017972110688

• 42017972110688 squared (42017972110688²) is 1765509980294554581723833344
• 42017972110688 cubed (42017972110688³) is 74183149113157914866187398722706033180672
• The square root of 42017972110688 is 6482127.1285503187
• The cube root of 42017972110688 is 34765.2238002181

Scales and comparisons

• 42,017,972,110,688 seconds is equal to 1,336,041 years, 28 weeks, 1 day, 15 hours, 38 minutes, 8 seconds.
• To count from 1 to 42,017,972,110,688 would take you about three million, three hundred forty thousand, one hundred three 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 42017972110688 cubic inches would be around 2897.1 feet tall.

Recreational maths with 42017972110688

• 42017972110688 backwards is 88601127971024
• 42017972110688 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42017972110688's digits is 56
• More coming soon!