122135785128
122,135,785,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122135785128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
122135785128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 122135785128:
23 × 32 × 7 × 43 × 53 × 113 × 941
(2 × 2 × 2 × 3 × 3 × 7 × 43 × 53 × 113 × 941)See below for interesting mathematical facts about the number 122135785128 from the Numbermatics database.
Names of 122135785128
- Cardinal: 122135785128 can be written as One hundred twenty-two billion, one hundred thirty-five million, seven hundred eighty-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.22135785128 × 1011
Factors of 122135785128
Divisors of 122135785128
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 53 56 63 72 84 86 106 113 126 129 159 168 172 212 226 252 258 301 318 339 344 371 387 424 452 477 504 516 602 636 678 742 774 791 903 904 941 954 1017 1032 1113 1204 1272 1356 1484 1548 1582 1806 1882 1908 2034 2226 2279 2373 2408 2709 2712 2823 2968 3096 3164 3339 3612 3764 3816 4068 4452 4558 4746 4859 5418 5646 5989 6328 6587 6678 6837 7119 7224 7528 8136 8469 8904 9116 9492 9718 10836 11292 11978 13174 13356 13674 14238 14577 15953 16938 17967 18232 18984 19436 19761 20511 21672 22584 23956 26348 26712 27348 28476 29154 31906 33876 34013 35934 38872 39522 40463 41022 41923 43731 47859 47912 49873 52696 53901 54696 56952 58308 59283 63812 67752 68026 71868 79044 80926 82044 83846 87462 95718 99746 102039 106333 107802 116616 118566 121389 125769 127624 136052 143577 143736 149619 158088 161852 164088 167692 174924 191436 199492 204078 212666 215604 237132 242778 251538 257527 272104 283241 287154 299238 306117 318999 323704 335384 349111 349848 364167 377307 382872 398984 408156 425332 431208 448857 474264 485556 503076 515054 566482 574308 598476 612234 637998 698222 728334 744331 754614 772581 816312 849723 850664 897714 956997 971112 1006152 1030108 1047333 1132964 1148616 1196952 1224468 1275996 1396444 1456668 1488662 1509228 1545162 1699446 1795428 1802689 1913994 2060216 2094666 2144539 2232993 2265928 2317743 2448936 2549169 2551992 2792888 2913336 2977324 3018456 3090324 3141999 3398892 3590856 3605378 3827988 4189332 4289078 4465986 4572319 4635486 5098338 5408067 5635649 5954648 6180648 6283998 6433617 6698979 6797784 7210756 7655976 8378664 8578156 8931972 9144638 9270972 10196676 10816134 11271298 12567996 12867234 13397958 13716957 14421512 15011773 16224201 16906947 17156312 17863944 18289276 18541944 19300851 20393352 21632268 22542596 25135992 25734468 26795916 27433914 30023546 32006233 32448402 33813894 36578552 38601702 39449543 41150871 43264536 45035319 45085192 50720841 51468936 53591832 54867828 60047092 64012466 64896804 67627788 77203404 78899086 82301742 90070638 96018699 101441682 109735656 118348629 120094184 128024932 129793608 135105957 135255576 154406808 157798172 164603484 180141276 192037398 202883364 236697258 242332907 256049864 270211914 288056097 315596344 329206968 355045887 360282552 384074796 405766728 473394516 484665814 540423828 576112194 710091774 726998721 768149592 946789032 969331628 1080847656 1152224388 1420183548 1453997442 1696330349 1938663256 2180996163 2304448776 2840367096 2907994884 3392660698 4361992326 5088991047 5815989768 6785321396 8723984652 10177982094 13570642792 15266973141 17447969304 20355964188 30533946282 40711928376 61067892564 122135785128
- Sum of all divisors σ(n): 398040065280
- Sum of proper divisors (its aliquot sum) s(n): 275904280152
- 122135785128 is an abundant number, because the sum of its proper divisors (275904280152) is greater than itself. Its abundance is 153768495024
Bases of 122135785128
- Binary: 11100011011111101110000101110101010002
- Hexadecimal: 0x1C6FDC2EA8
- Base-36: 1K3WHQY0
Squares and roots of 122135785128
- 122135785128 squared (1221357851282) is 14917150008832985976384
- 122135785128 cubed (1221357851283) is 1821917828200968877250273506417152
-
The
square root of 122135785128 is 349479.3057220985 -
The
cube root of 122135785128 is 4961.5150094729
Scales and comparisons
How big is 122135785128?- 122,135,785,128 seconds is equal to 3,883 years, 28 weeks, 14 hours, 58 minutes, 48 seconds.
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To count from 1 to 122,135,785,128 would take you about seven thousand, seven hundred sixty-seven 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 122135785128 cubic inches would be around 413.5 feet tall.
Recreational maths with 122135785128
- 122135785128 backwards is 821587531221
- The number of decimal digits it has is: 12
- The sum of 122135785128's digits is 45
- More coming soon!
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