34382471200448

Names of 34382471200448

• Cardinal: 34382471200448 can be written as Thirty-four trillion, three hundred eighty-two billion, four hundred seventy-one million, two hundred thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 3.4382471200448 × 10¹³

Factors of 34382471200448

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2478

Divisors of 34382471200448

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 97 112 124 133 152 194 217 224 248 266 304 388 434 448 496 532 589 608 679 776 868 992 1064 1093 1178 1216 1229 1358 1552 1736 1843 1984 2128 2186 2356 2458 2716 3007 3104 3472 3686 4123 4256 4372 4712 4916 5432 6014 6208 6944 7372 7651 8246 8512 8603 8744 9424 9832 10864 12028 12901 13888 14744 15302 16492 17206 17488 18848 19664 20767 21049 21728 23351 24056 25802 29488 30604 32984 33883 34412 34976 37696 38099 39328 41534 42098 43456 46702 48112 51604 57133 58976 61208 65968 67766 68824 69952 76198 78656 83068 84196 93404 96224 103208 106021 114266 117952 119213 122416 131936 135532 137648 145369 152396 163457 166136 168392 186808 192448 206416 212042 228532 237181 238426 244832 263872 266693 271064 275296 290738 304792 326914 332272 336784 373616 399931 412832 424084 457064 474362 476852 489664 533386 542128 550592 581476 609584 643777 653828 664544 673568 723881 742147 747232 799862 825664 834491 848168 914128 948724 953704 1066772 1084256 1162952 1219168 1287554 1307656 1329088 1343297 1347136 1447762 1484294 1494464 1599724 1668982 1696336 1828256 1897448 1907408 2014399 2133544 2168512 2265047 2325904 2438336 2575108 2615312 2686594 2895524 2968588 3199448 3286651 3337964 3392672 3656512 3695603 3794896 3814816 4028798 4267088 4506439 4530094 4651808 5067167 5150216 5230624 5373188 5791048 5937176 6398896 6573302 6675928 6785344 7391206 7589792 7629632 8057596 8534176 9012878 9060188 9303616 9403079 10134334 10300432 10461248 10746376 11582096 11874352 12797792 13146604 13351856 14100793 14782412 15179584 15855329 16115192 17068352 18025756 18120376 18806158 20268668 20600864 21492752 23006557 23164192 23748704 25522643 25595584 25869221 26293208 26703712 28201586 29564824 31710658 32230384 36051512 36240752 37612316 40537336 41201728 41642207 42985504 46013114 46328384 47497408 51045286 51738442 52586416 53407424 56403172 59129648 62446369 63421316 64460768 70216457 72103024 72481504 75224632 81074672 83284414 85971008 92026228 102090572 103476884 105172832 112806344 118259296 124892738 126842632 128921536 130299809 140432914 144206048 144963008 150449264 162149344 166568828 178658501 184052456 204181144 206953768 210345664 225612688 236518592 249785476 253685264 260599618 280865828 288412096 291495449 300898528 324298688 333137656 357317002 368104912 408362288 413907536 437124583 451225376 491515199 499570952 507370528 521199236 561731656 582990898 601797056 666275312 714634004 736209824 791201933 816724576 827815072 874249166 902450752 912098663 983030398 999141904 1014741056 1042398472 1123463312 1165981796 1332550624 1429268008 1472419648 1582403866 1633449152 1655630144 1748498332 1824197326 1966060796 1998283808 2084796944 2246926624 2331963592 2475696371 2665101248 2858536016 3164807732 3496996664 3648394652 3932121592 3996567616 4039294079 4169593888 4493853248 4663927184 4951392742 5538413531 5717072032 6329615464 6993993328 7296789304 7864243184 8078588158 8339187776 9327854368 9902785484 11076827062 11434144064 12659230928 13987986656 14593578608 15728486368 16157176316 17329874597 18655708736 19805570968 22153654124 25318461856 27975973312 28275058553 29187157216 31456972736 32314352632 34659749194 39611141936 44307308248 50636923712 56550117106 58374314432 64628705264 69319498388 76746587501 79222283872 88614616496 113100234212 129257410528 138638996776 153493175002 158444567744 177229232992 226200468424 258514821056 277277993552 306986350004 354458465984 452400936848 537226112507 554555987104 613972700008 904801873696 1074452225014 1109111974208 1227945400016 1809603747392 2148904450028 2455890800032 4297808900056 4911781600064 8595617800112 17191235600224 34382471200448
• Sum of all divisors σ(n): 85747642982400
• Sum of proper divisors (its aliquot sum) s(n): 51365171781952
• 34382471200448 is an abundant number, because the sum of its proper divisors (51365171781952) is greater than itself. Its abundance is 16982700581504

Bases of 34382471200448

• Binary: 111110100010101001010111110110111111011000000₂
• Hexadecimal: 0x1F454AFB7EC0
• Base-36: C6R37MG8W

Squares and roots of 34382471200448

• 34382471200448 squared (34382471200448²) is 1182154325849636134195400704
• 34382471200448 cubed (34382471200448³) is 40645387063010135052433336865859264315392
• The square root of 34382471200448 is 5863656.8112780953
• The cube root of 34382471200448 is 32517.1416320143

Scales and comparisons

• 34,382,471,200,448 seconds is equal to 1,093,256 years, 12 weeks, 12 hours, 34 minutes, 8 seconds.
• To count from 1 to 34,382,471,200,448 would take you about two million, seven hundred thirty-three thousand, one hundred forty 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 34382471200448 cubic inches would be around 2709.8 feet tall.

Recreational maths with 34382471200448

• 34382471200448 backwards is 84400217428343
• The number of decimal digits it has is: 14
• The sum of 34382471200448's digits is 50
• More coming soon!