134368460800
134,368,460,800 is an even composite number composed of five prime numbers multiplied together.
134368460800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty-six divisors.
Prime factorization of 134368460800:
218 × 52 × 7 × 29 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 101)See below for interesting mathematical facts about the number 134368460800 from the Numbermatics database.
Names of 134368460800
- Cardinal: 134368460800 can be written as One hundred thirty-four billion, three hundred sixty-eight million, four hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.343684608 × 1011
Factors of 134368460800
Divisors of 134368460800
- Number of divisors d(n): 456
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 101 112 116 128 140 145 160 175 200 202 203 224 232 256 280 290 320 350 400 404 406 448 464 505 512 560 580 640 700 707 725 800 808 812 896 928 1010 1015 1024 1120 1160 1280 1400 1414 1450 1600 1616 1624 1792 1856 2020 2030 2048 2240 2320 2525 2560 2800 2828 2900 2929 3200 3232 3248 3535 3584 3712 4040 4060 4096 4480 4640 5050 5075 5120 5600 5656 5800 5858 6400 6464 6496 7070 7168 7424 8080 8120 8192 8960 9280 10100 10150 10240 11200 11312 11600 11716 12800 12928 12992 14140 14336 14645 14848 16160 16240 16384 17675 17920 18560 20200 20300 20480 20503 22400 22624 23200 23432 25600 25856 25984 28280 28672 29290 29696 32320 32480 32768 35350 35840 37120 40400 40600 40960 41006 44800 45248 46400 46864 51200 51712 51968 56560 57344 58580 59392 64640 64960 65536 70700 71680 73225 74240 80800 81200 81920 82012 89600 90496 92800 93728 102400 102515 103424 103936 113120 114688 117160 118784 129280 129920 131072 141400 143360 146450 148480 161600 162400 163840 164024 179200 180992 185600 187456 204800 205030 206848 207872 226240 229376 234320 237568 258560 259840 262144 282800 286720 292900 296960 323200 324800 327680 328048 358400 361984 371200 374912 409600 410060 413696 415744 452480 458752 468640 475136 512575 517120 519680 565600 573440 585800 593920 646400 649600 655360 656096 716800 723968 742400 749824 819200 820120 827392 831488 904960 917504 937280 950272 1025150 1034240 1039360 1131200 1146880 1171600 1187840 1292800 1299200 1310720 1312192 1433600 1447936 1484800 1499648 1638400 1640240 1654784 1662976 1809920 1835008 1874560 1900544 2050300 2068480 2078720 2262400 2293760 2343200 2375680 2585600 2598400 2624384 2867200 2895872 2969600 2999296 3276800 3280480 3309568 3325952 3619840 3749120 3801088 4100600 4136960 4157440 4524800 4587520 4686400 4751360 5171200 5196800 5248768 5734400 5791744 5939200 5998592 6553600 6560960 6619136 6651904 7239680 7498240 7602176 8201200 8273920 8314880 9049600 9175040 9372800 9502720 10342400 10393600 10497536 11468800 11583488 11878400 11997184 13121920 13238272 13303808 14479360 14996480 16402400 16547840 16629760 18099200 18745600 19005440 20684800 20787200 20995072 22937600 23166976 23756800 23994368 26243840 26476544 26607616 28958720 29992960 32804800 33095680 33259520 36198400 37491200 38010880 41369600 41574400 41990144 45875200 46333952 47513600 47988736 52487680 53215232 57917440 59985920 65609600 66191360 66519040 72396800 74982400 82739200 83148800 83980288 92667904 95027200 95977472 104975360 115834880 119971840 131219200 132382720 133038080 144793600 149964800 165478400 166297600 167960576 185335808 190054400 191954944 209950720 231669760 239943680 262438400 266076160 289587200 299929600 330956800 332595200 335921152 383909888 419901440 463339520 479887360 524876800 579174400 599859200 661913600 665190400 671842304 767819776 839802880 926679040 959774720 1049753600 1158348800 1199718400 1330380800 1343684608 1679605760 1919549440 2099507200 2316697600 2399436800 2687369216 3359211520 3839098880 4199014400 4633395200 4798873600 5374738432 6718423040 8398028800 9597747200 13436846080 16796057600 19195494400 26873692160 33592115200 67184230400 134368460800
- Sum of all divisors σ(n): 397870918560
- Sum of proper divisors (its aliquot sum) s(n): 263502457760
- 134368460800 is an abundant number, because the sum of its proper divisors (263502457760) is greater than itself. Its abundance is 129133996960
Bases of 134368460800
- Binary: 11111010010001111110000000000000000002
- Hexadecimal: 0x1F48FC0000
- Base-36: 1PQ7IFWG
Squares and roots of 134368460800
- 134368460800 squared (1343684608002) is 18054883257761136640000
- 134368460800 cubed (1343684608003) is 2426006873269053584375283712000000
-
The
square root of 134368460800 is 366563.0379620945 -
The
cube root of 134368460800 is 5121.9159496119
Scales and comparisons
How big is 134368460800?- 134,368,460,800 seconds is equal to 4,272 years, 26 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 134,368,460,800 would take you about eight thousand, five hundred forty-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 134368460800 cubic inches would be around 426.8 feet tall.
Recreational maths with 134368460800
- 134368460800 backwards is 008064863431
- The number of decimal digits it has is: 12
- The sum of 134368460800's digits is 43
- More coming soon!
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