38148917448960

Names of 38148917448960

• Cardinal: 38148917448960 can be written as Thirty-eight trillion, one hundred forty-eight billion, nine hundred seventeen million, four hundred forty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.814891744896 × 10¹³

Factors of 38148917448960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 14315

Divisors of 38148917448960

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 43 45 48 54 60 64 72 80 86 90 96 108 120 128 129 135 144 160 172 180 192 215 216 240 256 258 270 288 320 344 360 384 387 430 432 480 516 540 576 640 645 688 720 768 774 860 864 960 1032 1080 1152 1161 1280 1290 1376 1440 1548 1720 1728 1920 1935 2064 2113 2160 2304 2322 2580 2752 2880 3096 3440 3456 3840 3870 4128 4226 4320 4644 5160 5504 5760 5805 6192 6339 6880 6912 7740 8256 8452 8640 9288 10320 10565 11008 11520 11610 12149 12384 12678 13760 15480 16512 16904 17280 18576 19017 20640 21130 23220 24298 24768 25356 27520 30960 31695 33024 33808 34560 36447 37152 38034 41280 42260 46440 48596 49536 50712 55040 57051 60745 61920 63390 67616 72894 74304 76068 82560 84520 90859 92880 95085 97192 99072 101424 109341 114102 121490 123840 126780 135232 145788 148608 152136 165120 169040 181718 182235 185760 190170 194384 202848 218682 228204 242980 247680 253560 270464 272577 285255 291576 297216 304272 328023 338080 363436 364470 371520 380340 388768 405696 437364 454295 456408 485960 495360 507120 522407 540928 545154 546705 570510 583152 608544 656046 676160 726872 728940 743040 760680 777536 811392 817731 874728 908590 912816 971920 1014240 1044814 1090308 1093410 1141020 1166304 1217088 1312092 1352320 1362885 1453744 1457880 1486080 1521360 1555072 1567221 1622784 1635462 1640115 1749456 1817180 1825632 1943840 2028480 2089628 2180616 2186820 2282040 2332608 2434176 2453193 2612035 2624184 2704640 2725770 2907488 2915760 3042720 3110144 3134442 3270924 3280230 3498912 3634360 3651264 3887680 4056960 4088655 4179256 4361232 4373640 4564080 4665216 4701663 4868352 4906386 5224070 5248368 5451540 5814976 5831520 6085440 6268884 6541848 6560460 6997824 7268720 7302528 7775360 7836105 8113920 8177310 8358512 8722464 8747280 9128160 9330432 9403326 9812772 10448140 10496736 10903080 11629952 11663040 12170880 12265965 12537768 13083696 13120920 13995648 14104989 14537440 14605056 15550720 15672210 16354620 16717024 17444928 17494560 18256320 18806652 19625544 20896280 20993472 21806160 23259904 23326080 23508315 24341760 24531930 25075536 25670837 26167392 26241840 27991296 28209978 29074880 31344420 32709240 33434048 34889856 34989120 36512640 37613304 39251088 41792560 41986944 43612320 46652160 47016630 49063860 50151072 51341674 52334784 52483680 56419956 58149760 62688840 65418480 66868096 69779712 69978240 70524945 73025280 75226608 77012511 78502176 83585120 83973888 87224640 94033260 98127720 100302144 102683348 104669568 104967360 112839912 116299520 125377680 128354185 130836960 133736192 139956480 141049890 150453216 154025022 157004352 167170240 174449280 188066520 196255440 200604288 205366696 209339136 209934720 225679824 231037533 250755360 256708370 261673920 282099780 300906432 308050044 314008704 334340480 348898560 376133040 385062555 392510880 401208576 410733392 419869440 451359648 462075066 501510720 513416740 523347840 564199560 601812864 616100088 628017408 668680960 693112599 752266080 770125110 785021760 821466784 902719296 924150132 1003021440 1026833480 1046695680 1103845991 1128399120 1155187665 1203625728 1232200176 1386225198 1504532160 1540250220 1570043520 1642933568 1805438592 1848300264 2006042880 2053666960 2207691982 2256798240 2310375330 2464400352 2772450396 3009064320 3080500440 3140087040 3285867136 3311537973 3465562995 3610877184 3696600528 4107333920 4415383964 4513596480 4620750660 4928800704 5519229955 5544900792 6018128640 6161000880 6571734272 6623075946 6931125990 7393201056 8214667840 8830767928 9027192960 9241501320 9857601408 9934613919 11038459910 11089801584 12322001760 13246151892 13862251980 14786402112 16429335680 16557689865 17661535856 18054385920 18483002640 19715202816 19869227838 22076919820 22179603168 24644003520 26492303784 27724503960 29572804224 29803841757 32858671360 33115379730 35323071712 36966005280 39738455676 44153839640 44359206336 49288007040 49673069595 52984607568 55449007920 59145608448 59607683514 66230759460 70646143424 73932010560 79476911352 88307679280 88718412672 98576014080 99346139190 105969215136 110898015840 119215367028 132461518920 141292286848 147864021120 149019208785 158953822704 176615358560 177436825344 198692278380 211938430272 221796031680 238430734056 264923037840 282584573696 295728042240 298038417570 317907645408 353230717120 397384556760 423876860544 443592063360 476861468112 529846075680 596076835140 635815290816 706461434240 794769113520 847753721088 887184126720 953722936224 1059692151360 1192153670280 1271630581632 1412922868480 1589538227040 1907445872448 2119384302720 2384307340560 2543261163264 3179076454080 3814891744896 4238768605440 4768614681120 6358152908160 7629783489792 9537229362240 12716305816320 19074458724480 38148917448960
• Sum of all divisors σ(n): 138600909216000
• Sum of proper divisors (its aliquot sum) s(n): 100451991767040
• 38148917448960 is an abundant number, because the sum of its proper divisors (100451991767040) is greater than itself. Its abundance is 62303074318080

Bases of 38148917448960

• Binary: 1000101011001000111100101011000101000100000000₂
• Hexadecimal: 0x22B23CAC5100
• Base-36: DITDCH1C0

Squares and roots of 38148917448960

• 38148917448960 squared (38148917448960²) is 1455339902527564754205081600
• 38148917448960 cubed (38148917448960³) is 55519641801701560659070530984540635136000
• The square root of 38148917448960 is 6176480.9923580271
• The cube root of 38148917448960 is 33663.6140869831

Scales and comparisons

• 38,148,917,448,960 seconds is equal to 1,213,017 years, 29 weeks, 5 days, 9 hours, 36 minutes.
• To count from 1 to 38,148,917,448,960 would take you about three million, thirty-two thousand, five hundred forty-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 38148917448960 cubic inches would be around 2805.3 feet tall.

Recreational maths with 38148917448960

• 38148917448960 backwards is 06984471984183
• 38148917448960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 38148917448960's digits is 72
• More coming soon!