42427818928320

Names of 42427818928320

• Cardinal: 42427818928320 can be written as Forty-two trillion, four hundred twenty-seven billion, eight hundred eighteen million, nine hundred twenty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.242781892832 × 10¹³

Factors of 42427818928320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 13408

Divisors of 42427818928320

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 53 56 60 64 70 80 84 96 98 105 106 112 120 140 147 159 160 168 192 196 210 212 224 240 245 265 280 294 318 320 336 371 392 420 424 448 480 490 530 560 588 636 672 735 742 784 795 840 848 960 980 1060 1113 1120 1176 1272 1344 1429 1470 1484 1568 1590 1680 1696 1855 1960 2120 2226 2240 2352 2544 2597 2858 2940 2968 3136 3180 3360 3392 3710 3920 4240 4287 4452 4704 5088 5194 5565 5716 5880 5936 6360 6720 7145 7420 7791 7840 8480 8574 8904 9408 10003 10176 10388 11130 11432 11760 11872 11909 12720 12985 14290 14840 15582 15680 16960 17148 17808 20006 20776 21435 22260 22864 23520 23744 23818 25440 25970 28580 29680 30009 31164 34296 35616 35727 38955 40012 41552 42870 44520 45728 47040 47636 50015 50880 51940 57160 59360 59545 60018 62328 68592 70021 71232 71454 75737 77910 80024 83104 83363 85740 89040 91456 95272 100030 103880 114320 118720 119090 120036 124656 137184 140042 142908 150045 151474 155820 160048 166208 166726 171480 178080 178635 190544 200060 207760 210063 227211 228640 238180 240072 249312 250089 274368 280084 285816 300090 302948 311640 320096 333452 342960 350105 356160 357270 378685 381088 400120 415520 416815 420126 454422 457280 476360 480144 498624 500178 530159 560168 571632 583541 600180 605896 623280 631177 640192 666904 685920 700210 714540 757370 762176 800240 831040 833630 840252 908844 952720 960288 1000356 1050315 1060318 1120336 1136055 1143264 1167082 1200360 1211792 1246560 1250445 1262354 1333808 1371840 1400420 1429080 1514740 1590477 1600480 1667260 1680504 1750623 1817688 1893531 1905440 1920576 2000712 2100630 2120636 2240672 2272110 2286528 2334164 2400720 2423584 2493120 2500890 2524708 2650795 2667616 2800840 2858160 2917705 3029480 3155885 3180954 3200960 3334520 3361008 3501246 3635376 3711113 3787062 3810880 4001424 4201260 4241272 4418239 4481344 4544220 4668328 4801440 4847168 5001780 5049416 5301590 5335232 5601680 5716320 5835410 6058960 6311770 6361908 6669040 6722016 7002492 7270752 7422226 7574124 7952385 8002848 8402520 8482544 8753115 8836478 9088440 9336656 9467655 9602880 10003560 10098832 10603180 11133339 11203360 11432640 11670820 12117920 12623540 12723816 13254717 13338080 13444032 14004984 14541504 14844452 15148248 15904770 16005696 16805040 16965088 17017961 17506230 17672956 18176880 18555565 18673312 18935310 20007120 20197664 21206360 22091195 22266678 22406720 23341640 24235840 25247080 25447632 26509434 26676160 28009968 29688904 30296496 30927673 31809540 33610080 33930176 34035922 35012460 35345912 36353760 37111130 37346624 37870620 40014240 40395328 42412720 44182390 44533356 46683280 50494160 50895264 51053883 53018868 55666695 56019936 59377808 60592992 61855346 63619080 66273585 67220160 68071844 70024920 70691824 72707520 74222260 75741240 80028480 84825440 85089805 88364780 89066712 92783019 93366560 100988320 101790528 102107766 106037736 111333390 112039872 118755616 119125727 121185984 123710692 127238160 132547170 136143688 140049840 141383648 148444520 151482480 154638365 169650880 170179610 176729560 178133424 185566038 186733120 201976640 204215532 212075472 222666780 237511232 238251454 247421384 254476320 255269415 265094340 272287376 280099680 282767296 296889040 302964960 309276730 340359220 353459120 356266848 357377181 371132076 408431064 424150944 445333560 463915095 476502908 494842768 508952640 510538830 530188680 544574752 560199360 593778080 595628635 605929920 618553460 680718440 706918240 712533696 714754362 742264152 816862128 833880089 848301888 890667120 901951933 927830190 953005816 989685536 1021077660 1060377360 1089149504 1187556160 1191257270 1237106920 1361436880 1413836480 1429508724 1484528304 1633724256 1667760178 1781334240 1786885905 1803903866 1855660380 1906011632 1979371072 2042155320 2120754720 2382514540 2474213840 2501640267 2705855799 2722873760 2859017448 2969056608 3267448512 3335520356 3562668480 3573771810 3607807732 3711320760 3812023264 4084310640 4169400445 4241509440 4509759665 4765029080 4948427680 5003280534 5411711598 5445747520 5718034896 5938113216 6313663531 6671040712 7147543620 7215615464 7422641520 7624046528 8168621280 8338800890 9019519330 9530058160 9896855360 10006561068 10823423196 11436069792 12508201335 12627327062 13342081424 13529278995 14295087240 14431230928 14845283040 16337242560 16677601780 18039038660 18940990593 19060116320 20013122136 21646846392 22872139584 25016402670 25254654124 26684162848 27058557990 28590174480 28862461856 29690566080 31568317655 33355203560 36078077320 37881981186 38120232640 40026244272 43293692784 44195644717 50032805340 50509308248 53368325696 54117115980 57180348960 57724923712 63136635310 66710407120 72156154640 75763962372 80052488544 86587385568 88391289434 94704952965 100065610680 101018616496 108234231960 114360697920 126273270620 132586934151 133420814240 144312309280 151527924744 160104977088 173174771136 176782578868 189409905930 200131221360 202037232992 216468463920 220978223585 252546541240 265173868302 266841628480 288624618560 303055849488 353565157736 378819811860 400262442720 404074465984 432936927840 441956447170 505093082480 530347736604 606111698976 662934670755 707130315472 757639623720 800524885440 865873855680 883912894340 1010186164960 1060695473208 1212223397952 1325869341510 1414260630944 1515279247440 1767825788680 2020372329920 2121390946416 2651738683020 2828521261888 3030558494880 3535651577360 4242781892832 5303477366040 6061116989760 7071303154720 8485563785664 10606954732080 14142606309440 21213909464160 42427818928320
• Sum of all divisors σ(n): 159783296587200
• Sum of proper divisors (its aliquot sum) s(n): 117355477658880
• 42427818928320 is an abundant number, because the sum of its proper divisors (117355477658880) is greater than itself. Its abundance is 74927658730560

Bases of 42427818928320

• Binary: 1001101001011001111111000100110110100011000000₂
• Hexadecimal: 0x26967F1368C0
• Base-36: F1F2JXP6O

Squares and roots of 42427818928320

• 42427818928320 squared (42427818928320²) is 1800119819014308873298022400
• 42427818928320 cubed (42427818928320³) is 76375157730419266659436767407143354368000
• The square root of 42427818928320 is 6513664.0171504087
• The cube root of 42427818928320 is 34877.8925646979

Scales and comparisons

• 42,427,818,928,320 seconds is equal to 1,349,073 years, 21 weeks, 1 hour, 52 minutes.
• To count from 1 to 42,427,818,928,320 would take you about three million, three hundred seventy-two thousand, six hundred eighty-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 42427818928320 cubic inches would be around 2906.5 feet tall.

Recreational maths with 42427818928320

• 42427818928320 backwards is 02382981872424
• 42427818928320 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42427818928320's digits is 60
• More coming soon!