106438456000
106,438,456,000 is an even composite number composed of five prime numbers multiplied together.
106438456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 106438456000:
26 × 53 × 19 × 472 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 47 × 47 × 317)See below for interesting mathematical facts about the number 106438456000 from the Numbermatics database.
Names of 106438456000
- Cardinal: 106438456000 can be written as One hundred six billion, four hundred thirty-eight million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.06438456 × 1011
Factors of 106438456000
Divisors of 106438456000
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 47 50 64 76 80 94 95 100 125 152 160 188 190 200 235 250 304 317 320 376 380 400 470 475 500 608 634 752 760 800 893 940 950 1000 1175 1216 1268 1504 1520 1585 1600 1786 1880 1900 2000 2209 2350 2375 2536 3008 3040 3170 3572 3760 3800 4000 4418 4465 4700 4750 5072 5875 6023 6080 6340 7144 7520 7600 7925 8000 8836 8930 9400 9500 10144 11045 11750 12046 12680 14288 14899 15040 15200 15850 17672 17860 18800 19000 20288 22090 22325 23500 24092 25360 28576 29798 30115 30400 31700 35344 35720 37600 38000 39625 41971 44180 44650 47000 48184 50720 55225 57152 59596 60230 63400 70688 71440 74495 75200 76000 79250 83942 88360 89300 94000 96368 101440 110450 111625 119192 120460 126800 141376 142880 148990 150575 152000 158500 167884 176720 178600 188000 192736 209855 220900 223250 238384 240920 253600 276125 283081 285760 297980 301150 317000 335768 353440 357200 372475 376000 385472 419710 441800 446500 476768 481840 507200 552250 566162 595960 602300 634000 671536 700253 706880 714400 744950 752875 839420 883600 893000 953536 963680 1049275 1104500 1132324 1191920 1204600 1268000 1343072 1400506 1415405 1428800 1489900 1505750 1678840 1767200 1786000 1862375 1927360 2098550 2209000 2264648 2383840 2409200 2536000 2686144 2801012 2830810 2979800 3011500 3357680 3501265 3534400 3572000 3724750 4197100 4418000 4529296 4767680 4818400 5246375 5602024 5661620 5959600 6023000 6715360 7002530 7077025 7144000 7449500 8394200 8836000 9058592 9636800 10492750 11204048 11323240 11919200 12046000 13304807 13430720 14005060 14154050 14899000 16788400 17506325 17672000 18117184 20985500 22408096 22646480 23838400 24092000 26609614 28010120 28308100 29798000 33576800 35012650 35385125 41971000 44816192 45292960 48184000 53219228 56020240 56616200 59596000 66524035 67153600 70025300 70770250 83942000 87531625 90585920 106438456 112040480 113232400 119192000 133048070 140050600 141540500 167884000 175063250 212876912 224080960 226464800 266096140 280101200 283081000 332620175 335768000 350126500 425753824 452929600 532192280 560202400 566162000 665240350 700253000 851507648 1064384560 1120404800 1132324000 1330480700 1400506000 1663100875 2128769120 2264648000 2660961400 2801012000 3326201750 4257538240 5321922800 5602024000 6652403500 10643845600 13304807000 21287691200 26609614000 53219228000 106438456000
- Sum of all divisors σ(n): 284391750240
- Sum of proper divisors (its aliquot sum) s(n): 177953294240
- 106438456000 is an abundant number, because the sum of its proper divisors (177953294240) is greater than itself. Its abundance is 71514838240
Bases of 106438456000
- Binary: 11000110010000011100111110010110000002
- Hexadecimal: 0x18C839F2C0
- Base-36: 1CWAPI9S
Squares and roots of 106438456000
- 106438456000 squared (1064384560002) is 11329144915663936000000
- 106438456000 cubed (1064384560003) is 1205856692623519562722816000000000
-
The
square root of 106438456000 is 326249.0704967601 -
The
cube root of 106438456000 is 4739.1398202913
Scales and comparisons
How big is 106438456000?- 106,438,456,000 seconds is equal to 3,384 years, 21 weeks, 3 days, 13 hours, 46 minutes, 40 seconds.
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To count from 1 to 106,438,456,000 would take you about six thousand, seven hundred sixty-eight 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 106438456000 cubic inches would be around 394.9 feet tall.
Recreational maths with 106438456000
- 106438456000 backwards is 000654834601
- The number of decimal digits it has is: 12
- The sum of 106438456000's digits is 37
- More coming soon!
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