12938816946176
12,938,816,946,176 is an even composite number composed of four prime numbers multiplied together.
What does the number 12938816946176 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 288 divisors.
12938816946176 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12938816946176:
215 × 112 × 612 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 61 × 61 × 877)See below for interesting mathematical facts about the number 12938816946176 from the Numbermatics database.
Names of 12938816946176
- Cardinal: 12938816946176 can be written as Twelve trillion, nine hundred thirty-eight billion, eight hundred sixteen million, nine hundred forty-six thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.2938816946176 × 1013
Factors of 12938816946176
Divisors of 12938816946176
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 11 16 22 32 44 61 64 88 121 122 128 176 242 244 256 352 484 488 512 671 704 877 968 976 1024 1342 1408 1754 1936 1952 2048 2684 2816 3508 3721 3872 3904 4096 5368 5632 7016 7381 7442 7744 7808 8192 9647 10736 11264 14032 14762 14884 15488 15616 16384 19294 21472 22528 28064 29524 29768 30976 31232 32768 38588 40931 42944 45056 53497 56128 59048 59536 61952 62464 77176 81862 85888 90112 106117 106994 112256 118096 119072 123904 124928 154352 163724 171776 180224 212234 213988 224512 236192 238144 247808 249856 308704 327448 343552 360448 424468 427976 449024 450241 472384 476288 495616 499712 588467 617408 654896 687104 848936 855952 898048 900482 944768 952576 991232 999424 1176934 1234816 1309792 1374208 1697872 1711904 1796096 1800964 1889536 1905152 1982464 1998848 2353868 2469632 2619584 2748416 3263317 3395744 3423808 3592192 3601928 3779072 3810304 3964928 4707736 4939264 5239168 5496832 6473137 6526634 6791488 6847616 7184384 7203856 7558144 7620608 9415472 9878528 10478336 10993664 12946274 13053268 13582976 13695232 14368768 14407712 15116288 15241216 18830944 19757056 20956672 21987328 25892548 26106536 27165952 27390464 28737536 28815424 30232576 30482432 35896487 37661888 39514112 41913344 51785096 52213072 54331904 54780928 57630848 60465152 60964864 71792974 75323776 79028224 83826688 103570192 104426144 108663808 109561856 115261696 120930304 121929728 143585948 150647552 158056448 167653376 207140384 208852288 217327616 219123712 230523392 241860608 287171896 301295104 316112896 335306752 394861357 414280768 417704576 434655232 438247424 461046784 574343792 602590208 670613504 789722714 828561536 835409152 869310464 876494848 922093568 1148687584 1205180416 1341227008 1579445428 1657123072 1670818304 1738620928 1752989696 1844187136 2297375168 2410360832 3158890856 3314246144 3341636608 3477241856 3688374272 4594750336 4820721664 6317781712 6628492288 6683273216 7376748544 9189500672 9641443328 12635563424 13256984576 13366546432 14753497088 18379001344 19282886656 25271126848 26513969152 26733092864 36758002688 50542253696 53027938304 53466185728 73516005376 101084507392 106055876608 106932371456 147032010752 202169014784 212111753216 294064021504 404338029568 588128043008 808676059136 1176256086016 1617352118272 3234704236544 6469408473088 12938816946176
- Sum of all divisors σ(n): 28950482212470
- Sum of proper divisors (its aliquot sum) s(n): 16011665266294
- 12938816946176 is an abundant number, because the sum of its proper divisors (16011665266294) is greater than itself. Its abundance is 3072848320118
Bases of 12938816946176
- Binary: 101111000100100011011001011010000000000000002
- Hexadecimal: 0xBC48D968000
- Base-36: 4L40DJF28
Squares and roots of 12938816946176
- 12938816946176 squared (129388169461762) is 167412983966651230481022976
- 12938816946176 cubed (129388169461763) is 2166125953957597924997742429848811339776
-
The
square root of 12938816946176 is 3597056.7059995037 -
The
cube root of 12938816946176 is 23476.4012057645
Scales and comparisons
How big is 12938816946176?- 12,938,816,946,176 seconds is equal to 411,414 years, 18 weeks, 3 days, 18 hours, 22 minutes, 56 seconds.
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To count from 1 to 12,938,816,946,176 would take you about one million, twenty-eight thousand, five hundred thirty-five 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 12938816946176 cubic inches would be around 1956.4 feet tall.
Recreational maths with 12938816946176
- 12938816946176 backwards is 67164961883921
- The number of decimal digits it has is: 14
- The sum of 12938816946176's digits is 71
- More coming soon!
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