106185313728

Names of 106185313728

• Cardinal: 106185313728 can be written as One hundred six billion, one hundred eighty-five million, three hundred thirteen thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.06185313728 × 10¹¹

Factors of 106185313728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 219

Divisors of 106185313728

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 61 64 72 74 78 96 103 104 111 117 122 144 148 156 183 192 206 208 222 234 244 288 296 309 312 333 366 412 416 444 468 481 488 549 576 592 618 624 666 732 793 824 832 888 927 936 962 976 1098 1184 1236 1248 1332 1339 1443 1464 1586 1648 1776 1854 1872 1924 1952 2196 2257 2368 2379 2472 2496 2664 2678 2886 2928 3172 3296 3552 3708 3721 3744 3811 3848 3904 4017 4329 4392 4514 4758 4944 5328 5356 5772 5856 6283 6344 6592 6771 7104 7137 7416 7442 7488 7622 7696 8034 8658 8784 9028 9516 9888 10656 10712 11163 11433 11544 11712 12051 12566 12688 13542 14274 14832 14884 15244 15392 16068 17316 17568 18056 18849 19032 19776 20313 21312 21424 22326 22866 23088 24102 25132 25376 27084 28548 29341 29664 29768 30488 30784 32136 33489 34299 34632 35136 36112 37698 38064 40626 42848 44652 45732 46176 48204 48373 49543 50264 50752 54168 56547 57096 58682 59328 59536 60976 64272 66978 68598 69264 72224 75396 76128 81252 81679 85696 88023 89304 91464 92352 96408 96746 99086 100528 108336 113094 114192 117364 119072 121952 128544 133956 137196 137677 138528 144448 145119 148629 150792 152256 162504 163358 176046 178608 182928 192816 193492 198172 201056 216672 226188 228384 232471 234728 238144 243904 245037 257088 264069 267912 274392 275354 277056 290238 297258 301584 325008 326716 352092 357216 365856 383263 385632 386984 396344 402112 413031 433344 435357 445887 452376 456768 464942 469456 490074 528138 535824 548784 550708 580476 594516 603168 650016 653432 697413 704184 714432 731712 735111 766526 771264 773968 792688 826062 870714 891774 904752 929884 938912 980148 1056276 1071648 1097568 1101416 1149789 1160952 1189032 1206336 1239093 1300032 1306864 1394826 1408368 1470222 1533052 1547936 1585376 1652124 1741428 1783548 1789801 1809504 1859768 1877824 1960296 2092239 2112552 2143296 2195136 2202832 2299578 2321904 2378064 2478186 2613728 2789652 2816736 2940444 3022123 3066104 3095872 3170752 3304248 3449367 3482856 3567096 3579602 3619008 3719536 3920592 4184478 4225104 4405664 4599156 4643808 4756128 4956372 4982419 5227456 5369403 5579304 5633472 5880888 6044246 6132208 6608496 6898734 6965712 7134192 7159204 7439072 7841184 8368956 8450208 8811328 9066369 9198312 9287616 9512256 9912744 9964838 10738806 11158608 11761776 12088492 12264416 13216992 13797468 13931424 14180731 14268384 14318408 14878144 14947257 15682368 16108209 16737912 16900416 18132738 18396624 19825488 19929676 21477612 22317216 23523552 24176984 24528832 26433984 27199107 27594936 27862848 28361462 28536768 28636816 29894514 32216418 33475824 36265476 36793248 39650976 39859352 42542193 42955224 44634432 44841771 47047104 48353968 54398214 55189872 56722924 57273632 59789028 64432836 66951648 72530952 73586496 79301952 79718704 85084386 85910448 89683542 96707936 108796428 110379744 113445848 114547264 119578056 127626579 128865672 133903296 145061904 159437408 170168772 171820896 179367084 184349503 193415872 217592856 220759488 226891696 239156112 255253158 257731344 290123808 318874816 340337544 343641792 358734168 368699006 435185712 453783392 478312224 510506316 515462688 553048509 580247616 680675088 717468336 737398012 870371424 907566784 956624448 1021012632 1030925376 1106097018 1361350176 1434936672 1474796024 1659145527 1740742848 2042025264 2212194036 2722700352 2869873344 2949592048 3318291054 4084050528 4424388072 5899184096 6636582108 8168101056 8848776144 11798368192 13273164216 17697552288 26546328432 35395104576 53092656864 106185313728
• Sum of all divisors σ(n): 345563915424
• Sum of proper divisors (its aliquot sum) s(n): 239378601696
• 106185313728 is an abundant number, because the sum of its proper divisors (239378601696) is greater than itself. Its abundance is 133193287968

Bases of 106185313728

• Binary: 1100010111001001000110100110111000000₂
• Hexadecimal: 0x18B9234DC0
• Base-36: 1CS3ZSG0

Squares and roots of 106185313728

• 106185313728 squared (106185313728²) is 11275320851513785257984
• 106185313728 cubed (106185313728³) is 1197273482001851391335852456804352
• The square root of 106185313728 is 325860.8809415453
• The cube root of 106185313728 is 4735.3798103987

Scales and comparisons

• 106,185,313,728 seconds is equal to 3,376 years, 18 weeks, 6 days, 16 hours, 28 minutes, 48 seconds.
• To count from 1 to 106,185,313,728 would take you about six thousand, seven hundred fifty-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 106185313728 cubic inches would be around 394.6 feet tall.

Recreational maths with 106185313728

• 106185313728 backwards is 827313581601
• The number of decimal digits it has is: 12
• The sum of 106185313728's digits is 45
• More coming soon!