349827920064

Names of 349827920064

• Cardinal: 349827920064 can be written as Three hundred forty-nine billion, eight hundred twenty-seven million, nine hundred twenty thousand and sixty-four.

Scientific notation

• Scientific notation: 3.49827920064 × 10¹¹

Factors of 349827920064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2412

Divisors of 349827920064

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 84 92 96 108 112 126 138 144 161 168 184 189 192 207 216 224 252 276 288 322 336 368 378 414 432 448 483 504 529 552 576 621 644 672 736 756 828 864 966 1008 1058 1104 1242 1288 1344 1449 1472 1512 1587 1656 1728 1932 2016 2116 2208 2377 2484 2576 2898 3024 3174 3312 3703 3864 4032 4232 4347 4416 4754 4761 4968 5152 5796 6048 6348 6624 7131 7406 7728 8464 8694 9508 9522 9936 10304 11109 11592 12096 12167 12696 13248 14262 14283 14812 15456 16639 16928 17388 19016 19044 19872 21393 22218 23184 24334 25392 28524 28566 29624 30912 33278 33327 33856 34776 36501 38032 38088 39744 42786 44436 46368 48668 49917 50784 54671 57048 57132 59248 64179 66556 66654 69552 73002 76064 76176 85169 85572 88872 92736 97336 99834 99981 101568 109342 109503 114096 114264 118496 128358 133112 133308 139104 146004 149751 152128 152352 164013 170338 171144 177744 194672 199668 199962 218684 219006 228192 228528 236992 255507 256716 266224 266616 278208 292008 299502 304704 328026 328509 340676 342288 355488 382697 389344 399336 399924 437368 438012 449253 456384 457056 492039 511014 513432 532448 533232 584016 599004 656052 657018 681352 684576 710976 765394 766521 778688 798672 799848 874736 876024 898506 914112 984078 1022028 1026864 1064896 1066464 1148091 1168032 1198008 1257433 1312104 1314036 1362704 1369152 1476117 1530788 1533042 1597344 1599696 1749472 1752048 1797012 1968156 2044056 2053728 2132928 2296182 2299563 2336064 2396016 2514866 2624208 2628072 2725408 2952234 3061576 3066084 3194688 3199392 3444273 3498944 3504096 3594024 3772299 3936312 4088112 4107456 4592364 4599126 4792032 5029732 5248416 5256144 5450816 5904468 6123152 6132168 6398784 6888546 7008192 7188048 7544598 7872624 8176224 8802031 9184728 9198252 9584064 10059464 10332819 10496832 10512288 11316897 11808936 12246304 12264336 13777092 14376096 15089196 15745248 16352448 17604062 18369456 18396504 20118928 20665638 21024576 22633794 23617872 24492608 24528672 26406093 27554184 28752192 28920959 30178392 31490496 33950691 35208124 36738912 36793008 40237856 41331276 45267588 47235744 49057344 52812186 55108368 57841918 60356784 67901382 70416248 73477824 73586016 79218279 80475712 82662552 86762877 90535176 94471488 105624372 110216736 115683836 120713568 135802764 140832496 147172032 158436558 165325104 173525754 181070352 202446713 211248744 220433472 231367672 237654837 241427136 260288631 271605528 281664992 316873116 330650208 347051508 362140704 404893426 422497488 462735344 475309674 520577262 543211056 563329984 607340139 633746232 661300416 694103016 724281408 780865893 809786852 844994976 925470688 950619348 1041154524 1086422112 1214680278 1267492464 1388206032 1561731786 1619573704 1689989952 1822020417 1850941376 1901238696 2082309048 2172844224 2429360556 2534984928 2776412064 3123463572 3239147408 3644040834 3802477392 4164618096 4858721112 5069969856 5466061251 5552824128 6246927144 6478294816 7288081668 7604954784 8329236192 9717442224 10932122502 12493854288 12956589632 14576163336 15209909568 16658472384 19434884448 21864245004 24987708576 29152326672 38869768896 43728490008 49975417152 58304653344 87456980016 116609306688 174913960032 349827920064
• Sum of all divisors σ(n): 1229285222400
• Sum of proper divisors (its aliquot sum) s(n): 879457302336
• 349827920064 is an abundant number, because the sum of its proper divisors (879457302336) is greater than itself. Its abundance is 529629382272

Bases of 349827920064

• Binary: 101000101110011010111100111000011000000₂
• Hexadecimal: 0x51735E70C0
• Base-36: 4GPIIEO0

Squares and roots of 349827920064

• 349827920064 squared (349827920064²) is 122379573656304373764096
• 349827920064 cubed (349827920064³) is 42811791710504046674799754281222144
• The square root of 349827920064 is 591462.5263395813
• The cube root of 349827920064 is 7046.1435915763

Scales and comparisons

• 349,827,920,064 seconds is equal to 11,123 years, 23 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 349,827,920,064 would take you about twenty-two thousand, two hundred forty-six 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 349827920064 cubic inches would be around 587.2 feet tall.

Recreational maths with 349827920064

• 349827920064 backwards is 460029728943
• 349827920064 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 349827920064's digits is 54
• More coming soon!