421920469024768

Names of 421920469024768

• Cardinal: 421920469024768 can be written as Four hundred twenty-one trillion, nine hundred twenty billion, four hundred sixty-nine million, twenty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.21920469024768 × 10¹⁴

Factors of 421920469024768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 769

Divisors of 421920469024768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 343 392 448 476 512 544 686 743 784 833 896 952 1024 1088 1372 1486 1568 1666 1792 1904 2048 2176 2744 2972 3136 3332 3584 3808 4096 4352 5201 5488 5831 5944 6272 6664 7168 7616 8192 8704 10402 10976 11662 11888 12544 12631 13328 14336 15232 16384 17408 20804 21952 23324 23776 25088 25262 26656 28672 30464 32768 34816 36407 41608 43904 46648 47552 50176 50524 53312 57344 60928 65536 69632 72814 83216 87808 88417 93296 95104 100352 101048 106624 114688 121856 131072 139264 145628 166432 175616 176834 186592 190208 200704 202096 213248 229376 243712 254849 278528 291256 332864 351232 353668 373184 380416 401408 404192 426496 458752 487424 509698 552049 557056 582512 618919 665728 702464 707336 746368 760832 802816 808384 852992 917504 974848 1019396 1104098 1114112 1165024 1237838 1331456 1404928 1414672 1492736 1521664 1605632 1616768 1705984 1949696 2038792 2208196 2228224 2330048 2475676 2662912 2809856 2829344 2985472 3043328 3211264 3233536 3411968 3864343 3899392 4077584 4332433 4416392 4660096 4951352 5325824 5619712 5658688 5970944 6086656 6422528 6467072 6823936 7728686 7798784 8155168 8664866 8832784 9320192 9384833 9902704 10651648 11239424 11317376 11941888 12173312 12934144 13647872 15457372 15597568 16310336 17329732 17665568 18640384 18769666 19805408 21303296 22478848 22634752 23883776 24346624 25868288 27050401 27295744 30914744 32620672 34659464 35331136 37280768 37539332 39610816 42606592 44957696 45269504 47767552 48693248 51736576 54100802 54591488 61829488 65241344 65693831 69318928 70662272 74561536 75078664 79221632 85213184 90539008 95535104 97386496 103473152 108201604 109182976 123658976 130482688 131387662 138637856 141324544 149123072 150157328 158443264 170426368 181078016 189352807 191070208 206946304 216403208 247317952 260965376 262775324 277275712 282649088 298246144 300314656 316886528 340852736 362156032 378705614 382140416 413892608 432806416 459856817 494635904 521930752 525550648 554551424 565298176 596492288 600629312 633773056 681705472 724312064 757411228 764280832 827785216 865612832 919713634 989271808 1043861504 1051101296 1109102848 1130596352 1192984576 1201258624 1267546112 1448624128 1514822456 1655570432 1731225664 1839427268 1978543616 2087723008 2102202592 2218205696 2261192704 2385969152 2402517248 2535092224 2897248256 3029644912 3218997719 3462451328 3678854536 3957087232 4175446016 4204405184 4436411392 4522385408 4771938304 4805034496 5070184448 5794496512 6059289824 6437995438 6924902656 7357709072 7914174464 8350892032 8408810368 8872822784 9044770816 9610068992 10140368896 11588993024 12118579648 12875990876 13849805312 14715418144 15828348928 16701784064 16817620736 17745645568 18089541632 19220137984 20280737792 24237159296 25751981752 27699610624 29430836288 31656697856 33403568128 33635241472 35491291136 36179083264 38440275968 40561475584 48474318592 51503963504 55399221248 58861672576 63313395712 67270482944 70982582272 72358166528 76880551936 81122951168 96948637184 103007927008 110798442496 117723345152 126626791424 134540965888 141965164544 153761103872 193897274368 206015854016 221596884992 235446690304 253253582848 269081931776 283930329088 307522207744 387794548736 412031708032 443193769984 470893380608 506507165696 538163863552 567860658176 615044415488 775589097472 824063416064 886387539968 941786761216 1076327727104 1230088830976 1551178194944 1648126832128 1772775079936 1883573522432 2152655454208 3102356389888 3296253664256 3545550159872 3767147044864 4305310908416 6204712779776 6592507328512 7534294089728 8610621816832 12409425559552 13185014657024 15068588179456 24818851119104 26370029314048 30137176358912 52740058628096 60274352717824 105480117256192 210960234512384 421920469024768
• Sum of all divisors σ(n): 1043357870872800
• Sum of proper divisors (its aliquot sum) s(n): 621437401848032
• 421920469024768 is an abundant number, because the sum of its proper divisors (621437401848032) is greater than itself. Its abundance is 199516932823264

Bases of 421920469024768

• Binary: 1011111111011110000000011101011100000000000000000₂
• Hexadecimal: 0x17FBC03AE0000
• Base-36: 45K3L5LDDS

Squares and roots of 421920469024768

• 421920469024768 squared (421920469024768²) is 178016882182080213352997453824
• 421920469024768 cubed (421920469024768³) is 75108966424590149151402510997554964392312832
• The square root of 421920469024768 is 20540702.7393117201
• The cube root of 421920469024768 is 75002.6943639311

Scales and comparisons

• 421,920,469,024,768 seconds is equal to 13,415,765 years, 43 weeks, 20 hours, 39 minutes, 28 seconds.
• To count from 1 to 421,920,469,024,768 would take you about thirty-three million, five hundred thirty-nine thousand, four hundred fourteen 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 421920469024768 cubic inches would be around 6250.2 feet tall.

Recreational maths with 421920469024768

• 421920469024768 backwards is 867420964029124
• 421920469024768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 421920469024768's digits is 64
• More coming soon!