34148706117312000
34,148,706,117,312,000 is an even composite number composed of five prime numbers multiplied together.
34148706117312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 34148706117312000:
29 × 3 × 53 × 51217 × 3472633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 51217 × 3472633)See below for interesting mathematical facts about the number 34148706117312000 from the Numbermatics database.
Names of 34148706117312000
- Cardinal: 34148706117312000 can be written as Thirty-four quadrillion, one hundred forty-eight trillion, seven hundred six billion, one hundred seventeen million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 3.4148706117312 × 1016
Factors of 34148706117312000
Divisors of 34148706117312000
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 51217 64000 96000 102434 153651 192000 204868 256085 307302 409736 512170 614604 768255 819472 1024340 1229208 1280425 1536510 1638944 2048680 2458416 2560850 3073020 3277888 3472633 3841275 4097360 4916832 5121700 6146040 6402125 6555776 6945266 7682550 8194720 9833664 10243400 10417899 12292080 12804250 13111552 13890532 15365100 16389440 17363165 19206375 19667328 20486800 20835798 24584160 25608500 26223104 27781064 30730200 32778880 34726330 38412750 39334656 40973600 41671596 49168320 51217000 52089495 55562128 61460400 65557760 69452660 76825500 78669312 81947200 83343192 86815825 98336640 102434000 104178990 111124256 122920800 131115520 138905320 153651000 163894400 166686384 173631650 196673280 204868000 208357980 222248512 245841600 260447475 277810640 307302000 327788800 333372768 347263300 393346560 409736000 416715960 434079125 444497024 491683200 520894950 555621280 614604000 655577600 666745536 694526600 819472000 833431920 868158250 888994048 983366400 1041789900 1111242560 1229208000 1302237375 1333491072 1389053200 1638944000 1666863840 1736316500 1777988096 1966732800 2083579800 2222485120 2458416000 2604474750 2666982144 2778106400 3277888000 3333727680 3472633000 4167159600 4444970240 4916832000 5208949500 5333964288 5556212800 6667455360 6945266000 8334319200 8889940480 9833664000 10417899000 11112425600 13334910720 13890532000 16668638400 20835798000 22224851200 26669821440 27781064000 33337276800 41671596000 44449702400 55562128000 66674553600 83343192000 111124256000 133349107200 166686384000 177857844361 222248512000 333372768000 355715688722 533573533083 666745536000 711431377444 889289221805 1067147066166 1422862754888 1778578443610 2134294132332 2667867665415 2845725509776 3557156887220 4268588264664 4446446109025 5335735330830 5691451019552 7114313774440 8537176529328 8892892218050 10671470661660 11382902039104 13339338327075 14228627548880 17074353058656 17785784436100 21342941323320 22232230545125 22765804078208 26678676654150 28457255097760 34148706117312 35571568872200 42685882646640 44464461090250 45531608156416 53357353308300 56914510195520 66696691635375 68297412234624 71143137744400 85371765293280 88928922180500 91063216312832 106714706616600 113829020391040 133393383270750 136594824469248 142286275488800 170743530586560 177857844361000 213429413233200 227658040782080 266786766541500 273189648938496 284572550977600 341487061173120 355715688722000 426858826466400 455316081564160 533573533083000 569145101955200 682974122346240 711431377444000 853717652932800 1067147066166000 1138290203910400 1365948244692480 1422862754888000 1707435305865600 2134294132332000 2276580407820800 2845725509776000 3414870611731200 4268588264664000 5691451019552000 6829741223462400 8537176529328000 11382902039104000 17074353058656000 34148706117312000
- Sum of all divisors σ(n): 113538160120866624
- Sum of proper divisors (its aliquot sum) s(n): 79389454003554624
- 34148706117312000 is an abundant number, because the sum of its proper divisors (79389454003554624) is greater than itself. Its abundance is 45240747886242624
Bases of 34148706117312000
- Binary: 11110010101001000010001001110011010100101011110000000002
- Hexadecimal: 0x79521139A95E00
- Base-36: 9C8PF0OS7PC
Squares and roots of 34148706117312000
- 34148706117312000 squared (341487061173120002) is 1166134129486542010306105344000000
- 34148706117312000 cubed (341487061173120003) is 39821971681203381064917377710314694115328000000000
-
The
square root of 34148706117312000 is 184793685.2744487045 -
The
cube root of 34148706117312000 is 324432.7972348385
Scales and comparisons
How big is 34148706117312000?- 34,148,706,117,312,000 seconds is equal to 1,085,823,225 years, 33 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 34,148,706,117,312,000 would take you about three billion, two hundred fifty-seven million, four hundred sixty-nine thousand, six hundred seventy-six 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 34148706117312000 cubic inches would be around 27036.1 feet tall.
Recreational maths with 34148706117312000
- 34148706117312000 backwards is 00021371160784143
- 34148706117312000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34148706117312000's digits is 48
- More coming soon!
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