134766080400
134,766,080,400 is an even composite number composed of seven prime numbers multiplied together.
134766080400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 134766080400:
24 × 3 × 52 × 7 × 19 × 23 × 36713
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 23 × 36713)See below for interesting mathematical facts about the number 134766080400 from the Numbermatics database.
Names of 134766080400
- Cardinal: 134766080400 can be written as One hundred thirty-four billion, seven hundred sixty-six million, eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.347660804 × 1011
Factors of 134766080400
Divisors of 134766080400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 25 28 30 35 38 40 42 46 48 50 56 57 60 69 70 75 76 80 84 92 95 100 105 112 114 115 120 133 138 140 150 152 161 168 175 184 190 200 210 228 230 240 266 276 280 285 300 304 322 336 345 350 368 380 399 400 420 437 456 460 475 483 525 532 552 560 570 575 600 644 665 690 700 760 798 805 840 874 912 920 950 966 1050 1064 1104 1140 1150 1200 1288 1311 1330 1380 1400 1425 1520 1596 1610 1680 1725 1748 1840 1900 1932 1995 2100 2128 2185 2280 2300 2415 2576 2622 2660 2760 2800 2850 3059 3192 3220 3325 3450 3496 3800 3864 3990 4025 4200 4370 4560 4600 4830 5244 5320 5520 5700 6118 6384 6440 6555 6650 6900 6992 7600 7728 7980 8050 8400 8740 9177 9200 9660 9975 10488 10640 10925 11400 12075 12236 12880 13110 13300 13800 15295 15960 16100 17480 18354 19320 19950 20976 21850 22800 24150 24472 26220 26600 27600 30590 31920 32200 32775 34960 36708 36713 38640 39900 43700 45885 48300 48944 52440 53200 61180 64400 65550 73416 73426 76475 79800 87400 91770 96600 104880 110139 122360 131100 146832 146852 152950 159600 174800 183540 183565 193200 220278 229425 244720 256991 262200 293704 305900 367080 367130 440556 458850 513982 524400 550695 587408 611800 697547 734160 734260 770973 844399 881112 917700 917825 1027964 1101390 1223600 1284955 1395094 1468520 1541946 1688798 1762224 1835400 1835650 2055928 2092641 2202780 2533197 2569910 2753475 2790188 2937040 3083892 3377596 3487735 3670800 3671300 3854865 4111856 4185282 4221995 4405560 4882829 5066394 5139820 5506950 5580376 5910793 6167784 6424775 6755192 6975470 7342600 7709730 8370564 8443990 8811120 9765658 10132788 10279640 10463205 11013900 11160752 11821586 12335568 12665985 12849550 13510384 13950940 14648487 14685200 15419460 16043581 16741128 16887980 17438675 17732379 19274325 19531316 20265576 20559280 20926410 21109975 22027800 23643172 24414145 25331970 25699100 27901880 29296974 29553965 30838920 32087162 33482256 33775960 34877350 35464758 38548650 39062632 40531152 41852820 42219950 44055600 47286344 48130743 48828290 50663940 51398200 52316025 55803760 58593948 59107930 61677840 63329925 64174324 67551920 69754700 70929516 73242435 77097300 78125264 80217905 83705640 84439900 88661895 94572688 96261486 97656580 101327880 102796400 104632050 112305067 117187896 118215860 122070725 126659850 128348648 139509400 141859032 146484870 147769825 154194600 160435810 167411280 168879800 177323790 192522972 195313160 202655760 209264100 224610134 234375792 236431720 240653715 244141450 253319700 256697296 279018800 283718064 292969740 295539650 308389200 320871620 336915201 337759600 354647580 366212175 385045944 390626320 401089525 418528200 443309475 449220268 472863440 481307430 488282900 506639400 561525335 585939480 591079300 641743240 673830402 709295160 732424350 770091888 802179050 837056400 886618950 898440536 962614860 976565800 1013278800 1123050670 1171878960 1182158600 1203268575 1283486480 1347660804 1418590320 1464848700 1604358100 1684576005 1773237900 1796881072 1925229720 1953131600 2246101340 2364317200 2406537150 2695321608 2807626675 2929697400 3208716200 3369152010 3546475800 3850459440 4492202680 4813074300 5390643216 5615253350 5859394800 6417432400 6738304020 7092951600 8422880025 8984405360 9626148600 11230506700 13476608040 16845760050 19252297200 22461013400 26953216080 33691520100 44922026800 67383040200 134766080400
- Sum of all divisors σ(n): 541933885440
- Sum of proper divisors (its aliquot sum) s(n): 407167805040
- 134766080400 is an abundant number, because the sum of its proper divisors (407167805040) is greater than itself. Its abundance is 272401724640
Bases of 134766080400
- Binary: 11111011000001010111100110001100100002
- Hexadecimal: 0x1F60AF3190
- Base-36: 1PWS8T5C
Squares and roots of 134766080400
- 134766080400 squared (1347660804002) is 18161896426379264160000
- 134766080400 cubed (1347660804003) is 2447607594013900594679398464000000
-
The
square root of 134766080400 is 367104.9991487449 -
The
cube root of 134766080400 is 5126.9631871261
Scales and comparisons
How big is 134766080400?- 134,766,080,400 seconds is equal to 4,285 years, 7 weeks, 3 days, 14 hours, 20 minutes.
-
To count from 1 to 134,766,080,400 would take you about eight thousand, five hundred seventy 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 134766080400 cubic inches would be around 427.2 feet tall.
Recreational maths with 134766080400
- 134766080400 backwards is 004080667431
- The number of decimal digits it has is: 12
- The sum of 134766080400's digits is 39
- More coming soon!
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