442374028128

Names of 442374028128

• Cardinal: 442374028128 can be written as Four hundred forty-two billion, three hundred seventy-four million, twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.42374028128 × 10¹¹

Factors of 442374028128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 318

Divisors of 442374028128

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 43 48 53 54 58 61 72 86 87 96 106 108 116 122 127 129 144 159 172 174 183 212 216 232 244 254 258 261 288 318 344 348 366 381 387 424 432 464 477 488 508 516 522 549 636 688 696 732 762 774 783 848 864 928 954 976 1016 1032 1044 1098 1143 1161 1247 1272 1376 1392 1431 1464 1524 1537 1548 1566 1647 1696 1769 1908 1952 2032 2064 2088 2196 2279 2286 2322 2494 2544 2623 2784 2862 2928 3048 3074 3096 3132 3233 3294 3429 3538 3683 3741 3816 4064 4128 4176 4392 4558 4572 4611 4644 4988 5088 5246 5307 5461 5724 5856 6096 6148 6192 6264 6466 6588 6731 6837 6858 7076 7366 7482 7632 7747 7869 8352 8784 9116 9144 9222 9288 9699 9976 10492 10614 10922 11049 11223 11448 12192 12296 12384 12528 12932 13176 13462 13674 13716 13833 14152 14732 14964 15264 15494 15738 15921 16383 17568 18232 18288 18444 18576 19398 19952 20193 20511 20984 21228 21844 22098 22446 22896 23241 23607 24592 25056 25864 26352 26924 27348 27432 27666 28304 29097 29464 29928 30988 31476 31842 32766 33147 33669 36464 36576 36888 37152 38796 39904 40386 41022 41499 41968 42456 43688 44196 44892 45792 46482 47214 47763 49149 49184 51728 52704 53848 54696 54864 55332 56608 58194 58928 59856 60579 61533 61976 62952 63684 65532 66091 66294 67338 69723 70821 72928 73776 76067 77592 80772 82044 82998 83936 84912 87291 87376 88392 89784 92964 93757 94428 95526 98298 99441 103456 107696 109392 109728 110664 116388 117856 119712 121158 123066 123952 125904 127368 131064 132182 132588 134676 139019 139446 141642 147447 147552 152134 155184 158369 161544 164088 165996 169824 174582 174752 176784 179568 181737 185928 187514 188856 191052 195199 196596 198273 198882 209169 215392 218784 221328 224663 228201 232776 242316 246132 247904 251808 254736 262128 264364 265176 269352 278038 278892 281271 283284 289433 294894 304268 310368 316738 323088 328176 331992 333121 349164 353568 359136 363474 371856 375028 377712 382104 390398 393192 396546 397764 410591 417057 418338 442656 449326 456402 465552 475107 484632 492264 509472 524256 528728 530352 538704 556076 557784 562542 566568 578866 585597 589788 594819 608536 633476 646176 656352 663984 666242 673989 684603 698328 726948 743712 750056 755424 764208 780796 786384 793092 795528 821182 834114 836676 843813 868299 898652 912804 931104 950214 969264 984528 999363 1057456 1060704 1077408 1112152 1115568 1125084 1133136 1157732 1171194 1179576 1189638 1217072 1231773 1251171 1266952 1327968 1332484 1347978 1369206 1396656 1425321 1453896 1500112 1528416 1561592 1572768 1586184 1591056 1642364 1668228 1673352 1687626 1736598 1756791 1784457 1797304 1825608 1900428 1938528 1969056 1998726 2021967 2053809 2114912 2224304 2231136 2250168 2266272 2315464 2342388 2359152 2379276 2434144 2463546 2502342 2531439 2533904 2604897 2664968 2695956 2738412 2793312 2850642 2907792 2998089 3000224 3123184 3172368 3182112 3284728 3336456 3346704 3375252 3473196 3513582 3568914 3594608 3651216 3695319 3753513 3800856 3997452 4031551 4043934 4107618 4275963 4448608 4500336 4630928 4684776 4718304 4758552 4927092 5004684 5062878 5067808 5209794 5270373 5329936 5391912 5476824 5701284 5815584 5996178 6065901 6246368 6344736 6569456 6672912 6693408 6750504 6946392 7027164 7137828 7189216 7302432 7390638 7507026 7601712 7814691 7994904 8063102 8087868 8215236 8393557 8551926 8994267 9000672 9261856 9369552 9517104 9660509 9854184 10009368 10125756 10419588 10540746 10659872 10783824 10953648 11085957 11402568 11907139 11992356 12094653 12131802 13138912 13345824 13501008 13892784 14054328 14275656 14781276 15014052 15203424 15629382 15989808 16126204 16175736 16430472 16787114 17103852 17655413 17988534 18739104 19034208 19321018 19708368 20018736 20251512 20839176 21081492 21567648 21907296 22171914 22805136 23814278 23984712 24189306 24263604 25180671 27002016 27785568 28108656 28551312 28981527 29562552 30028104 31258764 31979616 32252408 32351472 32860944 33574228 34207704 35310826 35721417 35977068 36283959 38642036 39416736 40037472 40503024 41678352 42162984 44343828 45610272 47628556 47969424 48378612 48527208 50361342 52966239 56217312 57102624 57963054 59125104 60056208 62517528 64504816 64702944 65721888 67148456 68415408 70621652 71442834 71954136 72567918 75542013 77284072 81006048 83356704 84325968 86944581 88687656 95257112 95938848 96757224 97054416 100722684 105932478 107164251 108851877 115926108 118250208 120112416 125035056 129009632 134296912 136830816 141243304 142885668 143908272 145135836 151084026 154568144 158898717 168651936 173889162 177375312 190514224 193514448 194108832 201445368 211864956 214328502 217703754 226626039 231852216 250070112 260833743 268593824 282486608 285771336 287816544 290271672 302168052 309136288 317797434 321492753 347778324 354750624 381028448 387028896 402890736 423729912 428657004 435407508 453252078 463704432 476696151 512006977 521667486 564973216 571542672 580543344 604336104 635594868 642985506 695556648 805781472 847459824 857314008 870815016 906504156 927408864 953392302 1024013954 1043334972 1143085344 1161086688 1208672208 1271189736 1285971012 1391113296 1536020931 1694919648 1714628016 1741630032 1813008312 1906784604 2048027908 2086669944 2417344416 2542379472 2571942024 2782226592 3072041862 3429256032 3483260064 3626016624 3813569208 4096055816 4173339888 4608062793 5084758944 5143884048 6144083724 7252033248 7627138416 8192111632 8346679776 9216125586 10287768096 12288167448 13824188379 15254276832 16384223264 18432251172 24576334896 27648376758 36864502344 49152669792 55296753516 73729004688 110593507032 147458009376 221187014064 442374028128
• Sum of all divisors σ(n): 1425508761600
• Sum of proper divisors (its aliquot sum) s(n): 983134733472
• 442374028128 is an abundant number, because the sum of its proper divisors (983134733472) is greater than itself. Its abundance is 540760705344

Bases of 442374028128

• Binary: 110011011111111100010111111101101100000₂
• Hexadecimal: 0x66FF8BFB60
• Base-36: 5N822OO0

Squares and roots of 442374028128

• 442374028128 squared (442374028128²) is 195694780762192535184384
• 442374028128 cubed (442374028128³) is 86570288449396953838608317282353152
• The square root of 442374028128 is 665112.0417854423
• The cube root of 442374028128 is 7619.5596595937

Scales and comparisons

• 442,374,028,128 seconds is equal to 14,066 years, 6 weeks, 3 days, 18 hours, 28 minutes, 48 seconds.
• To count from 1 to 442,374,028,128 would take you about twenty-eight thousand, one hundred thirty-two 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 442374028128 cubic inches would be around 635 feet tall.

Recreational maths with 442374028128

• 442374028128 backwards is 821820473244
• The number of decimal digits it has is: 12
• The sum of 442374028128's digits is 45
• More coming soon!