12345972000
12,345,972,000 is an even composite number composed of six prime numbers multiplied together.
12345972000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 12345972000:
25 × 3 × 53 × 19 × 173 × 313
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 173 × 313)See below for interesting mathematical facts about the number 12345972000 from the Numbermatics database.
Names of 12345972000
- Cardinal: 12345972000 can be written as Twelve billion, three hundred forty-five million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.2345972 × 1010
Factors of 12345972000
Divisors of 12345972000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 125 150 152 160 173 190 200 228 240 250 285 300 304 313 346 375 380 400 456 475 480 500 519 570 600 608 626 692 750 760 800 865 912 939 950 1000 1038 1140 1200 1252 1384 1425 1500 1520 1565 1730 1824 1878 1900 2000 2076 2280 2375 2400 2504 2595 2768 2850 3000 3040 3130 3287 3460 3756 3800 4000 4152 4325 4560 4695 4750 5008 5190 5536 5700 5947 6000 6260 6574 6920 7125 7512 7600 7825 8304 8650 9120 9390 9500 9861 10016 10380 11400 11894 12000 12520 12975 13148 13840 14250 15024 15200 15650 16435 16608 17300 17841 18780 19000 19722 20760 21625 22800 23475 23788 25040 25950 26296 27680 28500 29735 30048 31300 32870 34600 35682 37560 38000 39125 39444 41520 43250 45600 46950 47576 49305 50080 51900 52592 54149 57000 59470 62600 64875 65740 69200 71364 75120 76000 78250 78888 82175 83040 86500 89205 93900 95152 98610 103800 105184 108298 114000 117375 118940 125200 129750 131480 138400 142728 148675 150240 156500 157776 162447 164350 173000 178410 187800 190304 197220 207600 216596 228000 234750 237880 246525 250400 259500 262960 270745 285456 297350 313000 315552 324894 328700 346000 356820 375600 394440 410875 415200 433192 446025 469500 475760 493050 519000 525920 541490 570912 594700 626000 649788 657400 692000 713640 743375 751200 788880 812235 821750 866384 892050 939000 951520 986100 1028831 1038000 1082980 1189400 1232625 1252000 1299576 1314800 1353725 1427280 1486750 1577760 1624470 1643500 1732768 1784100 1878000 1972200 2057662 2076000 2165960 2230125 2378800 2465250 2599152 2629600 2707450 2854560 2973500 3086493 3248940 3287000 3568200 3756000 3944400 4061175 4115324 4331920 4460250 4757600 4930500 5144155 5198304 5414900 5947000 6172986 6497880 6574000 6768625 7136400 7888800 8122350 8230648 8663840 8920500 9861000 10288310 10829800 11894000 12345972 12995760 13148000 13537250 14272800 15432465 16244700 16461296 17841000 19722000 20305875 20576620 21659600 23788000 24691944 25720775 25991520 27074500 30864930 32489400 32922592 35682000 39444000 40611750 41153240 43319200 49383888 51441550 54149000 61729860 64978800 71364000 77162325 81223500 82306480 98767776 102883100 108298000 123459720 128603875 129957600 154324650 162447000 164612960 205766200 216596000 246919440 257207750 308649300 324894000 385811625 411532400 493838880 514415500 617298600 649788000 771623250 823064800 1028831000 1234597200 1543246500 2057662000 2469194400 3086493000 4115324000 6172986000 12345972000
- Sum of all divisors σ(n): 42957008640
- Sum of proper divisors (its aliquot sum) s(n): 30611036640
- 12345972000 is an abundant number, because the sum of its proper divisors (30611036640) is greater than itself. Its abundance is 18265064640
Bases of 12345972000
- Binary: 10110111111110000010010101001000002
- Hexadecimal: 0x2DFE09520
- Base-36: 5O6H0YO
Squares and roots of 12345972000
- 12345972000 squared (123459720002) is 152423024624784000000
- 12345972000 cubed (123459720003) is 1881810394172893770048000000000
-
The
square root of 12345972000 is 111112.4295477333 -
The
cube root of 12345972000 is 2311.2225308573
Scales and comparisons
How big is 12345972000?- 12,345,972,000 seconds is equal to 392 years, 29 weeks, 2 days, 4 hours, 40 minutes.
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To count from 1 to 12,345,972,000 would take you about seven hundred eighty-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 12345972000 cubic inches would be around 192.6 feet tall.
Recreational maths with 12345972000
- 12345972000 backwards is 00027954321
- The number of decimal digits it has is: 11
- The sum of 12345972000's digits is 33
- More coming soon!
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